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Periodic and almost periodic oscillations in a delay differential equation system with time-varying coefficients

Discrete and Continuous Dynamical Systems  Volume 37, Issue 12, Pages : 6123 - 6138, 2017

Xiao Wang - (email), Zhaohui Yang - (email), Xiongwei Liu - (email)

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Global dynamics of an age-structured HIV infection model incorporating latency and cell-to-cell transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 34 - 34, 2017

Jinliang Wang - (email), Jiying Lang - (email), Yuming Chen - (email)

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Dynamical behavior of a new oncolytic virotherapy model based on gene variation

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1079 - 1093, 2017

Zizi Wang - (email), Zhiming Guo - (email), Huaqin Peng - (email)

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Transmission dynamics and optimal control of brucellosis in Inner Mongolia of China

Mathematical Biosciences and Engineering  Volume 15, Issue 2, Pages : 543 - 567, 2017

Linhua Zhou - (email), Meng Fan - (email), Qiang Hou - (email), Zhen Jin - (email), Xiangdong Sun - (email)

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Global stability for multi-group SIR and SEIR epidemic models with age-dependent susceptibility

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2795 - 2812, 2017

Jinliang Wang - (email), Xianning Liu - (email), Toshikazu Kuniya - (email), Jingmei Pang - (email)

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Global dynamics of a microorganism flocculation model with time delay

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1883 - 1891, 2017

Songbai Guo - (email), Wanbiao Ma - (email)

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Mathematical analysis of a weather-driven model for the population ecology of mosquitoes

Mathematical Biosciences and Engineering  Volume 15, Issue 2, Pages : 57 - 93, 2017

Kamaldeen Okuneye - (email), Ahmed Abdelrazec - (email), Abba B. Gumel - (email)

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A frailty model for intervention effectiveness against disease transmission when implemented with unobservable heterogeneity

Mathematical Biosciences and Engineering  Volume 15, Issue 2, Pages : 275 - 298, 2017

Ping Yan - (email)

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Effect of seasonality on the dynamics of an imitation--based vaccination model with public health intervention

Mathematical Biosciences and Engineering  Volume 15, Issue 2, Pages : 299 - 321, 2017

Bruno Buonomo - (email), Giuseppe Carbone - (email), Alberto d'Onofrio - (email)

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10

An SIR epidemic model with vaccination in a patchy environment

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1141 - 1157, 2017

Qianqian Cui - (email), Zhipeng Qiu - (email), Ling Ding - (email)

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11

Global dynamics of a vector-host epidemic model with age of infection

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1159 - 1186, 2017

Yan-Xia Dang - (email), Zhi-Peng Qiu - (email), Xue-Zhi Li - (email), Maia Martcheva - (email)

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12

Global dynamics of a delay virus model with recruitment and saturation effects of immune responses

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1233 - 1246, 2017

Cuicui Jiang - (email), Kaifa Wang - (email), Lijuan Song - (email)

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Modeling co-infection of Ixodes tick-borne pathogens

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1301 - 1316, 2017

Yijun Lou - (email), Li Liu - (email), Daozhou Gao - (email)

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14

Global stability in a tuberculosis model of imperfect treatment with age-dependent latency and relapse

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1337 - 1360, 2017

Shanjing Ren - (email)

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Dynamical behaviors of an Echinococcosis epidemic model with distributed delays

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1425 - 1445, 2017

Kai Wang - (email), Zhidong Teng - (email), Xueliang Zhang - (email)

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16

Statistical and deterministic dynamics of maps with memory

Discrete and Continuous Dynamical Systems  Volume 37, Issue 8, Pages : 4347 - 4378, 2017

Paweł Góra - (email), Abraham Boyarsky - (email), Zhenyang Li - (email), Harald Proppe - (email)

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17

Global stability of infectious disease models with contact rate as a function of prevalence index

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 1019 - 1033, 2017

Cruz Vargas-De-León - (email), Alberto d'Onofrio - (email)

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Dynamics of a two-species stage-structured model incorporating state-dependent maturation delays

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1393 - 1423, 2017

Shangzhi Li - (email), Shangjiang Guo - (email)

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Dynamics of a nonlocal dispersal SIS epidemic model

Communications on Pure and Applied Analysis  Volume 16, Issue 3, Pages : 781 - 797, 2017

Fei-Ying Yang - (email), Wan-Tong Li - (email)

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Competitive exclusion in an infection-age structured vector-host epidemic model

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 901 - 931, 2017

Yanxia Dang - (email), Zhipeng Qiu - (email), Xuezhi Li - (email)

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Lyapunov functionals for multistrain models with infinite delay

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 507 - 536, 2016

Yoji Otani - (email), Tsuyoshi Kajiwara - (email), Toru Sasaki - (email)

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Global stability in the 2D Ricker equation revisited

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 585 - 604, 2016

Brian Ryals - (email), Robert J. Sacker - (email)

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Modeling and simulation for toxicity assessment

Mathematical Biosciences and Engineering  Volume 14, Issue 3, Pages : 581 - 606, 2016

Cristina Anton - (email), Jian Deng - (email), Yau Shu Wong - (email), Yile Zhang - (email), Weiping Zhang - (email), Stephan Gabos - (email), Dorothy Yu Huang - (email), Can Jin - (email)

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Minimizing $\mathcal R_0$ for in-host virus model with periodic combination antiviral therapy

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3315 - 3330, 2016

Cameron J. Browne - (email), Sergei S. Pilyugin - (email)

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25

Hopf bifurcation in a model of TGF-$\beta$ in regulation of the Th 17 phenotype

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3575 - 3602, 2016

Jisun Lim - (email), Seongwon Lee - (email), Yangjin Kim - (email)

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Global stability of a multistrain SIS model with superinfection

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 421 - 435, 2016

Attila Dénes - (email), Yoshiaki Muroya - (email), Gergely Röst - (email)

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27

Global stability of a price model with multiple delays

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6855 - 6871, 2016

Ábel Garab - (email), Veronika Kovács - (email), Tibor Krisztin - (email)

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28

Threshold dynamics of a delayed multi-group heroin epidemic model in heterogeneous populations

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2615 - 2630, 2016

Lili Liu - (email), Xianning Liu - (email), Jinliang Wang - (email)

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29

Immune response in virus model structured by cell infection-age

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 887 - 909, 2016

Cameron Browne - (email)

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30

Dynamics of a diffusive age-structured HBV model with saturating incidence

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 935 - 968, 2016

Xichao Duan - (email), Sanling Yuan - (email), Kaifa Wang - (email)

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31

Heterogeneous population dynamics and scaling laws near epidemic outbreaks

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 1093 - 1118, 2016

Andreas Widder - (email), Christian Kuehn - (email)

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32

Intermittent dispersal population model with almost period parameters and dispersal delays

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 2011 - 2037, 2016

Long Zhang - (email), Gao Xu - (email), Zhidong Teng - (email)

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33

Optimal harvesting policy for the Beverton--Holt model

Mathematical Biosciences and Engineering  Volume 13, Issue 4, Pages : 673 - 695, 2016

Martin Bohner - (email), Sabrina Streipert - (email)

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34

Global stability of a network-based SIS epidemic model with a general nonlinear incidence rate

Mathematical Biosciences and Engineering  Volume 13, Issue 4, Pages : 723 - 739, 2016

Shouying Huang - (email), Jifa Jiang - (email)

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35

A two-strain TB model with multiple latent stages

Mathematical Biosciences and Engineering  Volume 13, Issue 4, Pages : 741 - 785, 2016

Azizeh Jabbari - (email), Carlos Castillo-Chavez - (email), Fereshteh Nazari - (email), Baojun Song - (email), Hossein Kheiri - (email)

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36

Global stability for SIR and SIRS models with nonlinear incidence and removal terms via Dulac functions

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1101 - 1117, 2016

Attila Dénes - (email), Gergely Röst - (email)

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37

A mathematical model for hepatitis B with infection-age structure

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1329 - 1346, 2016

Suxia Zhang - (email), Xiaxia Xu - (email)

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38

Global stability and optimal control for a tuberculosis model with vaccination and treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 1009 - 1022, 2016

Yali Yang - (email), Sanyi Tang - (email), Xiaohong Ren - (email), Huiwen Zhao - (email), Chenping Guo - (email)

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39

Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 381 - 400, 2015

C. Connell McCluskey - (email)

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40

A mathematical model for the spread of west nile virus in migratory and resident birds

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 401 - 424, 2015

Louis D. Bergsman - (email), James M. Hyman - (email), Carrie A. Manore - (email)

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41

Stability analysis for discrete-time coupled systems with multi-diffusion by graph-theoretic approach and its application

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 253 - 269, 2015

Huan Su - (email), Pengfei Wang - (email), Xiaohua Ding - (email)

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42

Modeling HIV: Determining the factors affecting the racial disparity in the prevalence of infected women

DCDS Supplements  Volume 2015, Issue special, Pages : 569 - 578, 2015

K.F. Gurski - (email), K.A. Hoffman - (email), E.K. Thomas - (email)

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43

Global existence and asymptotic behaviour of solutions for nonlinear evolution equations related to a tumour invasion model

DCDS Supplements  Volume 2015, Issue special, Pages : 733 - 744, 2015

Akisato Kubo - (email), Hiroki Hoshino - (email), Katsutaka Kimura - (email)

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44

Seasonality and the effectiveness of mass vaccination

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 249 - 259, 2015

Dennis L. Chao - (email), Dobromir T. Dimitrov - (email)

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45

The global stability of coexisting equilibria for three models of mutualism

Mathematical Biosciences and Engineering  Volume 13, Issue 1, Pages : 101 - 118, 2015

Paul Georgescu - (email), Hong Zhang - (email), Daniel Maxin - (email)

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46

Modelling HIV superinfection among men who have sex with men

Mathematical Biosciences and Engineering  Volume 13, Issue 1, Pages : 171 - 191, 2015

Xiaodan Sun - (email), Yanni Xiao - (email), Zhihang Peng - (email)

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47

Global analysis on a class of multi-group SEIR model with latency and relapse

Mathematical Biosciences and Engineering  Volume 13, Issue 1, Pages : 209 - 225, 2015

Jinliang Wang - (email), Hongying Shu - (email)

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48

A note on dynamics of an age-of-infection cholera model

Mathematical Biosciences and Engineering  Volume 13, Issue 1, Pages : 227 - 247, 2015

Jinliang Wang - (email), Ran Zhang - (email), Toshikazu Kuniya - (email)

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49

Mathematical analysis of population migration and its effects to spread of epidemics

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2819 - 2858, 2015

Shangbin Cui - (email), Meng Bai - (email)

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50

Lyapunov functionals for virus-immune models with infinite delay

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3093 - 3114, 2015

Yoji Otani - (email), Tsuyoshi Kajiwara - (email), Toru Sasaki - (email)

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51

Global dynamics for viral infection model with Beddington-DeAngelis functional response and an eclipse stage of infected cells

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3215 - 3233, 2015

Jinliang Wang - (email), Jiying Lang - (email), Xianning Liu - (email)

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52

Treatment strategies for combining immunostimulatory oncolytic virus therapeutics with dendritic cell injections

Mathematical Biosciences and Engineering  Volume 12, Issue 6, Pages : 1237 - 1256, 2015

Joanna R. Wares - (email), Joseph J. Crivelli - (email), Chae-Ok Yun - (email), Il-Kyu Choi - (email), Jana L. Gevertz - (email), Peter S. Kim - (email)

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53

A Lotka-Volterra system with patch structure (related to a multi-group SI epidemic model)

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 999 - 1008, 2015

Yoshiaki Muroya - (email)

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54

Lyapunov functions and global stability for a discretized multigroup SIR epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 1971 - 1981, 2015

Deqiong Ding - (email), Wendi Qin - (email), Xiaohua Ding - (email)

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55

Global stability of the dengue disease transmission models

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2217 - 2232, 2015

Jing-Jing Xiang - (email), Juan Wang - (email), Li-Ming Cai - (email)

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56

Mathematical study of the effects of travel costs on optimal dispersal in a two-patch model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1625 - 1638, 2015

Theodore E. Galanthay - (email)

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57

Asymptotical behaviors of a general diffusive consumer-resource model with maturation delay

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1715 - 1733, 2015

Wonlyul Ko - (email), Inkyung Ahn - (email), Shengqiang Liu - (email)

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58

The dynamics of an HBV epidemic model on complex heterogeneous networks

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1393 - 1404, 2015

Meihong Qiao - (email), Anping Liu - (email), Qing Tang - (email)

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59

Lyapunov functions and global stability for a discretized multigroup SIR epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : null - null, 2015

Deqiong Ding - (email), Wendi Qin - (email), Xiaohua Ding - (email)

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60

A TB-HIV/AIDS coinfection model and optimal control treatment

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4639 - 4663, 2015

Cristiana J. Silva - (email), Delfim F. M. Torres - (email)

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61

Quantitative impact of immunomodulation versus oncolysis with cytokine-expressing virus therapeutics

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 841 - 858, 2015

Peter S. Kim - (email), Joseph J. Crivelli - (email), Il-Kyu Choi - (email), Chae-Ok Yun - (email), Joanna R. Wares - (email)

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62

Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 859 - 877, 2015

Yu Yang - (email), Shigui Ruan - (email), Dongmei Xiao - (email)

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63

Dynamics of a parasite-host epidemiological model in spatial heterogeneous environment

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 989 - 1013, 2015

Yongli Cai - (email), Weiming Wang - (email)

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64

Global dynamics and traveling wave solutions of two predators-one prey models

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1135 - 1154, 2015

Jian-Jhong Lin - (email), Weiming Wang - (email), Caidi Zhao - (email), Ting-Hui Yang - (email)

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65

The effect of time delay in plant--pathogen interactions with host demography

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 473 - 490, 2015

Bruno Buonomo - (email), Marianna Cerasuolo - (email)

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66

A singularly perturbed HIV model with treatment and antigenic variation

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 1 - 21, 2014

Nara Bobko - (email), Jorge P. Zubelli - (email)

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67

Global dynamics of a general class of multi-group epidemic models with latency and relapse

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 99 - 115, 2014

Xiaomei Feng - (email), Zhidong Teng - (email), Fengqin Zhang - (email)

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68

Delayed population models with Allee effects and exploitation

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 83 - 97, 2014

Eduardo Liz - (email), Alfonso Ruiz-Herrera - (email)

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69

Aggregation and environmental transmission in chronic wasting disease

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 209 - 231, 2014

Olga Vasilyeva - (email), Tamer Oraby - (email), Frithjof Lutscher - (email)

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70

Necessary and sufficient condition for the global stability of a delayed discrete-time single neuron model

Journal of Computational Dynamics  Volume 1, Issue 2, Pages : 213 - 232, 2014

Ferenc A. Bartha - (email), Ábel Garab - (email)

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71

Global analysis of within host virus models with cell-to-cell viral transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 10, Pages : 3341 - 3357, 2014

Hossein Pourbashash - (email), Sergei S. Pilyugin - (email), Patrick De Leenheer - (email), Connell McCluskey - (email)

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72

Stability criteria for SIS epidemiological models under switching policies

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2865 - 2887, 2014

Mustapha Ait Rami - (email), Vahid S. Bokharaie - (email), Oliver Mason - (email), Fabian R. Wirth - (email)

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73

A reaction-diffusion model of dengue transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2993 - 3018, 2014

Zhiting Xu - (email), Yingying Zhao - (email)

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74

Epidemic models for complex networks with demographics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1295 - 1317, 2014

Zhen Jin - (email), Guiquan Sun - (email), Huaiping Zhu - (email)

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75

Modeling the impact of twitter on influenza epidemics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1337 - 1356, 2014

Kasia A. Pawelek - (email), Anne Oeldorf-Hirsch - (email), Libin Rong - (email)

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76

A stochastic simulation model for Anelosimus studiosus during prey capture: A case study for determination of optimal spacing

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1411 - 1429, 2014

Michele L. Joyner - (email), Chelsea R. Ross - (email), Colton Watts - (email), Thomas C. Jones - (email)

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77

Stability of a positive equilibrium state for a stochastically perturbed mathematical model of glassy-winged sharpshooter population

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1167 - 1174, 2014

Leonid Shaikhet - (email)

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78

Disease dynamics for the hometown of migrant workers

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1175 - 1180, 2014

Ram P. Sigdel - (email), C. Connell McCluskey - (email)

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79

Impact of delay on HIV-1 dynamics of fighting a virus with another virus

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1181 - 1198, 2014

Yun Tian - (email), Yu Bai - (email), Pei Yu - (email)

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80

Global stability and backward bifurcation of a general viral infection model with virus-driven proliferation of target cells

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 6, Pages : 1749 - 1768, 2014

Hongying Shu - (email), Lin Wang - (email)

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81

Biodiversity and vulnerability in a 3D mutualistic system

Discrete and Continuous Dynamical Systems  Volume 34, Issue 10, Pages : 4107 - 4126, 2014

Giovanny Guerrero - (email), José Antonio Langa - (email), Antonio Suárez - (email)

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82

Backward bifurcation and global stability in an epidemic model with treatment and vaccination

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 999 - 1025, 2014

Xiaomei Feng - (email), Zhidong Teng - (email), Kai Wang - (email), Fengqin Zhang - (email)

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83

Complete classification of global dynamics of a virus model with immune responses

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1087 - 1103, 2014

Cuicui Jiang - (email), Wendi Wang - (email)

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84

Global stability of a multi-group SIS epidemic model for population migration

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1105 - 1118, 2014

Toshikazu Kuniya - (email), Yoshiaki Muroya - (email)

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85

On a diffusive predator-prey model with nonlinear harvesting

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 807 - 821, 2014

Peng Feng - (email)

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86

Theoretical assessment of the relative incidences of sensitive and resistant tuberculosis epidemic in presence of drug treatment

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 971 - 993, 2014

Silvia Martorano Raimundo - (email), Hyun Mo Yang - (email), Ezio Venturino - (email)

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87

A note on global stability for malaria infections model with latencies

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 995 - 1001, 2014

Jinliang Wang - (email), Jingmei Pang - (email), Toshikazu Kuniya - (email)

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88

Local stability implies global stability for the planar Ricker competition model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 2, Pages : 323 - 351, 2014

E. Cabral Balreira - (email), Saber Elaydi - (email), Rafael Luís - (email)

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89

Cost-effectiveness evaluation of gender-based vaccination programs against sexually transmitted infections

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 2, Pages : 447 - 466, 2014

Jane M. Heffernan - (email), Yijun Lou - (email), Marc Steben - (email), Jianhong Wu - (email)

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90

Global stability for a heroin model with two distributed delays

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 715 - 733, 2014

Bin Fang - (email), Xue-Zhi Li - (email), Maia Martcheva - (email), Li-Ming Cai - (email)

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91

The global stability of an SIRS model with infection age

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 449 - 469, 2014

Yuming Chen - (email), Junyuan Yang - (email), Fengqin Zhang - (email)

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92

Modeling and analysis of the San Francisco City Clinic Cohort (SFCCC) HIV-epidemic including treatment

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 599 - 619, 2014

Brandy Rapatski - (email), Juan Tolosa - (email)

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93

Analyzing the infection dynamics and control strategies of cholera

DCDS Supplements  Volume 2013, Issue special, Pages : 747 - 757, 2013

Jianjun Paul Tian - (email), Shu Liao - (email), Jin Wang - (email)

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94

Convergence rate to strong boundary layer solutions for generalized BBM-Burgers equations with non-convex flux

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 835 - 858, 2013

Tong Li - (email), Hui Yin - (email)

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95

On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2331 - 2353, 2013

Sze-Bi Hsu - (email), Shigui Ruan - (email), Ting-Hui Yang - (email)

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96

Dynamics of an age-of-infection cholera model

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1335 - 1349, 2013

Fred Brauer - (email), Zhisheng Shuai - (email), P. van den Driessche - (email)

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97

The basic reproduction number $R_0$ and effectiveness of reactive interventions during dengue epidemics: The 2002 dengue outbreak in Easter Island, Chile

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1455 - 1474, 2013

Gerardo Chowell - (email), R. Fuentes - (email), A. Olea - (email), X. Aguilera - (email), H. Nesse - (email), J. M. Hyman - (email)

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98

Mathematical models of contact patterns between age groups for predicting the spread of infectious diseases

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1475 - 1497, 2013

Sara Y. Del Valle - (email), J. M. Hyman - (email), Nakul Chitnis - (email)

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99

Mixed strategies and natural selection in resource allocation

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1561 - 1586, 2013

Irina Kareva - (email), Faina Berezovkaya - (email), Georgy Karev - (email)

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100

Chemostats and epidemics: Competition for nutrients/hosts

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1635 - 1650, 2013

Hal L. Smith - (email), Horst R. Thieme - (email)

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101

Different types of backward bifurcations due to density-dependent treatments

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1651 - 1668, 2013

Baojun Song - (email), Wen Du - (email), Jie Lou - (email)

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102

Global analysis of age-structured within-host virus model

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 1999 - 2017, 2013

Cameron J. Browne - (email), Sergei S. Pilyugin - (email)

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103

Qualitative analysis of an age- and sex-structured vaccination model for human papillomavirus

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 8, Pages : 2151 - 2174, 2013

Tufail Malik - (email), Abba Gumel - (email), Elamin H. Elbasha - (email)

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104

The impact of an imperfect vaccine and pap cytology screening on the transmission of human papillomavirus and occurrence of associated cervical dysplasia and cancer

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1173 - 1205, 2013

Tufail Malik - (email), Jody Reimer - (email), Abba Gumel - (email), Elamin H. Elbasha - (email), Salaheddin Mahmud - (email)

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105

Mathematical modeling of glioma therapy using oncolytic viruses

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 565 - 578, 2013

Baba Issa Camara - (email), Houda Mokrani - (email), Evans K. Afenya - (email)

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106

A partial differential equation model of metastasized prostatic cancer

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 591 - 608, 2013

Avner Friedman - (email), Harsh Vardhan Jain - (email)

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107

Mathematical modeling of citrus groves infected by huanglongbing

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 705 - 728, 2013

Karly Jacobsen - (email), Jillian Stupiansky - (email), Sergei S. Pilyugin - (email)

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108

Modelling the role of drug barons on the prevalence of drug epidemics

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 843 - 860, 2013

John Boscoh H. Njagarah - (email), Farai Nyabadza - (email)

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109

Modeling prostate cancer response to continuous versus intermittent androgen ablation therapy

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 945 - 967, 2013

Harsh Vardhan Jain - (email), Avner Friedman - (email)

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110

B cell chronic lymphocytic leukemia - A model with immune response

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 1053 - 1076, 2013

Seema Nanda - (email), Lisette dePillis - (email), Ami Radunskaya - (email)

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111

Lyapunov functions and global stability for SIR and SEIR models with age-dependent susceptibility

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 369 - 378, 2013

Andrey V. Melnik - (email), Andrei Korobeinikov - (email)

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112

Mathematical modelling and control of echinococcus in Qinghai province, China

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 425 - 444, 2013

Liumei Wu - (email), Baojun Song - (email), Wen Du - (email), Jie Lou - (email)

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113

Global threshold dynamics in an HIV virus model with nonlinear infection rate and distributed invasion and production delays

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 483 - 498, 2013

Zhaohui Yuan - (email), Xingfu Zou - (email)

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114

Global stability of an age-structured cholera model

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 641 - 665, 2013

Jianxin Yang - (email), Zhipeng Qiu - (email), Xue-Zhi Li - (email)

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115

Global analysis of a simple parasite-host model with homoclinic orbits

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 767 - 784, 2012

Jianquan Li - (email), Yanni Xiao - (email), Yali Yang - (email)

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116

Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 819 - 841, 2012

C. Connell McCluskey - (email)

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117

Dynamics of a dengue fever transmission model with crowding effect in human population and spatial variation

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 147 - 161, 2012

Tzy-Wei Hwang - (email), Feng-Bin Wang - (email)

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118

Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2413 - 2430, 2012

Hongbin Guo - (email), Michael Yi Li - (email)

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119

Stability conditions for a class of delay differential equations in single species population dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2451 - 2464, 2012

Gang Huang - (email), Yasuhiro Takeuchi - (email), Rinko Miyazaki - (email)

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120

Vegetation patterns and desertification waves in semi-arid environments: Mathematical models based on local facilitation in plants

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2815 - 2827, 2012

Jonathan A. Sherratt - (email), Alexios D. Synodinos - (email)

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121

Dynamics of bone cell signaling and PTH treatments of osteoporosis

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2185 - 2200, 2012

David S. Ross - (email), Christina Battista - (email), Antonio Cabal - (email), Khamir Mehta - (email)

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122

Planar traveling waves for nonlocal dispersion equation with monostable nonlinearity

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3621 - 3649, 2012

Rui Huang - (email), Ming Mei - (email), Yong Wang - (email)

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123

Longtime behavior of one-dimensional biofilm models with shear dependent detachment rates

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 215 - 239, 2012

Fazal Abbas - (email), Rangarajan Sudarsan - (email), Hermann J. Eberl - (email)

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124

Global stability for epidemic model with constant latency and infectious periods

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 297 - 312, 2012

Gang Huang - (email), Edoardo Beretta - (email), Yasuhiro Takeuchi - (email)

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125

Impact of heterogeneity on the dynamics of an SEIR epidemic model

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 393 - 411, 2012

Zhisheng Shuai - (email), P. van den Driessche - (email)

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126

Analysis of a model for the effects of an external toxin on anaerobic digestion

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 445 - 459, 2012

Marion Weedermann - (email)

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127

Global stability and convergence rate of traveling waves for a nonlocal model in periodic media

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 993 - 1007, 2012

Zigen Ouyang - (email), Chunhua Ou - (email)

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128

Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes

Mathematical Biosciences and Engineering  Volume 9, Issue 1, Pages : 165 - 174, 2011

Cruz Vargas-De-León - (email)

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129

Optimal control of a vector-host epidemics model

Mathematical Control and Related Fields  Volume 1, Issue 4, Pages : 493 - 508, 2011

Qingkai Kong - (email), Zhipeng Qiu - (email), Zi Sang - (email), Yun Zou - (email)

 Abstract       References       Full Text      Related Articles

130

Global stability for a HIV-1 infection model with cell-mediated immune response and intracellular delay

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 1, Pages : 297 - 302, 2011

Jinliang Wang - (email), Lijuan Guan - (email)

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131

A passivity-based stability criterion for reaction diffusion systems with interconnected structure

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 1, Pages : 303 - 323, 2011

Liming Wang - (email)

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132

A mathematical model for the spread of streptococcus pneumoniae with transmission due to sequence type

DCDS Supplements  Volume 2011, Issue Special, Pages : 553 - 567, 2011

David Greenhalgh - (email), Karen E. Lamb - (email), Chris Robertson - (email)

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133

Asymptotic behavior of Maxwell's equation in one-space dimension with thermal effect

DCDS Supplements  Volume 2011, Issue Special, Pages : 754 - 762, 2011

Yuri Kalinin - (email), Volker Reitmann - (email), Nayil Yumaguzin - (email)

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134

Qualitative analysis and travelling wave solutions for the SI model with vertical transmission

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 97 - 113, 2011

Arnaud Ducrot - (email), Michel Langlais - (email), Pierre Magal - (email)

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135

Effects of spatial structure and diffusion on the performances of the chemostat

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 953 - 971, 2011

Ihab Haidar - (email), Alain Rapaport - (email), Frédéric Gérard - (email)

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136

The Within-Host dynamics of malaria infection with immune response

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 999 - 1018, 2011

Yilong Li - (email), Shigui Ruan - (email), Dongmei Xiao - (email)

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137

Global asymptotic properties of staged models with multiple progression pathways for infectious diseases

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 1019 - 1034, 2011

Andrey V. Melnik - (email), Andrei Korobeinikov - (email)

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138

A note for the global stability of a delay differential equation of hepatitis B virus infection

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 689 - 694, 2011

Bao-Zhu Guo - (email), Li-Ming Cai - (email)

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139

Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 695 - 709, 2011

Hongbin Guo - (email), Jianhong Wu - (email)

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140

Modeling the effects of carriers on transmission dynamics of infectious diseases

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 711 - 722, 2011

Darja Kalajdzievska - (email), Michael Yi Li - (email)

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141

Sveir epidemiological model with varying infectivity and distributed delays

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 875 - 888, 2011

Jinliang Wang - (email), Gang Huang - (email), Yasuhiro Takeuchi - (email), Shengqiang Liu - (email)

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142

An integrated approach for the operations of distribution and lateral transshipment for seasonal products - A case study in household product industry

Journal of Industrial and Management Optimization  Volume 7, Issue 2, Pages : 401 - 424, 2011

Ming-Jong Yao - (email), James T. Lin - (email), Chen-Hao Yang - (email)

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143

A perspective on the 2009 A/H1N1 influenza pandemic in Mexico

Mathematical Biosciences and Engineering  Volume 8, Issue 1, Pages : 223 - 238, 2011

Rodolfo Acuňa-Soto - (email), Luis Castaňeda-Davila - (email), Gerardo Chowell - (email)

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144

A model of varicella-zoster reactivation

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 765 - 777, 2010

Jonathan E. Forde - (email), Bailey Meeker - (email)

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145

A stoichiometrically derived algal growth model and its global analysis

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 825 - 836, 2010

Xiong Li - (email), Hao Wang - (email)

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146

Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 837 - 850, 2010

C. Connell McCluskey - (email)

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147

Global properties of a general predator-prey model with non-symmetric attack and consumption rate

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1095 - 1103, 2010

Andrei Korobeinikov - (email)

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148

Rational exemption to vaccination for non-fatal SIS diseases: Globally stable and oscillatory endemicity

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 561 - 578, 2010

Bruno Buonomo - (email), Alberto d’Onofrio - (email), Deborah Lacitignola - (email)

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149

Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 675 - 685, 2010

Shengqiang Liu - (email), Lin Wang - (email)

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150

Vector control for the Chikungunya disease

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 313 - 345, 2010

Yves Dumont - (email), Frederic Chiroleu - (email)

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151

Mathematically modeling PCR: An asymptotic approximation with potential for optimization

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 363 - 384, 2010

Martha Garlick - (email), James Powell - (email), David Eyre - (email), Thomas Robbins - (email)

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152

Global asymptotic dynamics of a model for quarantine and isolation

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 1, Pages : 209 - 231, 2010

Mohammad A. Safi - (email), Abba B. Gumel - (email)

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153

Modeling the interaction of cytotoxic T lymphocytes and influenza virus infected epithelial cells

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 171 - 185, 2010

Abdessamad Tridane - (email), Yang Kuang - (email)

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154

Theoretical assessment of avian influenza vaccine

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 1, Pages : 1 - 25, 2009

Folashade B. Agusto - (email), Abba B. Gumel - (email)

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155

An improved optimistic three-stage model for the spread of HIV amongst injecting intravenous drug users

DCDS Supplements  Volume 2009, Issue Special, Pages : 286 - 299, 2009

David Greenhalgh - (email), Wafa Al-Fwzan - (email)

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156

A simple model of two interacting signaling pathways in embryonic Xenopus laevis

DCDS Supplements  Volume 2009, Issue Special, Pages : 753 - 760, 2009

Edwin Tecarro - (email), Tung Bui - (email), Marsida Lisi - (email), Amy Sater - (email), Akif Uzman - (email)

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157

A simplified mathematical model of solid tumor regrowth with therapies

DCDS Supplements  Volume 2009, Issue Special, Pages : 771 - 779, 2009

Jianjun Paul Tian - (email), Kendall Stone - (email), Thomas John Wallin - (email)

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158

Distributed susceptibility: A challenge to persistence theory in infectious disease models

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 865 - 882, 2009

Horst R. Thieme - (email)

 Abstract       Full Text      Related Articles

159

Nonlinear stability of boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equation in the half space

Kinetic and Related Models  Volume 2, Issue 3, Pages : 521 - 550, 2009

Hui Yin - (email), Huijiang Zhao - (email)

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160

Global asymptotic properties for a Leslie-Gower food chain model

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 585 - 590, 2009

Andrei Korobeinikov - (email), William T. Lee - (email)

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161

Global stability for an SEIR epidemiological model with varying infectivity and infinite delay

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 603 - 610, 2009

C. Connell McCluskey - (email)

 Abstract       Full Text      Related Articles

162

Feedback stabilization for a chemostat with delayed output

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 629 - 647, 2009

Gonzalo Robledo - (email)

 Abstract       Full Text      Related Articles

163

Stability of constant states and qualitative behavior of solutions to a one dimensional hyperbolic model of chemotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 39 - 76, 2009

Francesca Romana Guarguaglini - (email), Corrado Mascia - (email), Roberto Natalini - (email), Magali Ribot - (email)

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164

The reproduction number $R_t$ in structured and nonstructured populations

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 239 - 259, 2009

Tom Burr - (email), Gerardo Chowell - (email)

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165

The estimation of the effective reproductive number from disease outbreak data

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 261 - 282, 2009

Ariel Cintrón-Arias - (email), Carlos Castillo-Chávez - (email), Luís M. A. Bettencourt - (email), Alun L. Lloyd - (email), H. T. Banks - (email)

 Abstract       Full Text      Related Articles      

166

The dynamics of a delay model of hepatitis B virus infection with logistic hepatocyte growth

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 283 - 299, 2009

Steffen Eikenberry - (email), Sarah Hews - (email), John D. Nagy - (email), Yang Kuang - (email)

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167

Epidemic models with differential susceptibility and staged progression and their dynamics

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 321 - 332, 2009

James M. Hyman - (email), Jia Li - (email)

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168

On the eradicability of infections with partially protective vaccination in models with backward bifurcation

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 395 - 407, 2009

Muntaser Safan - (email), Klaus Dietz - (email)

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169

A model for the transmission of malaria

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 2, Pages : 479 - 496, 2008

Hui Wan - (email), Jing-An Cui - (email)

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170

A malaria model with partial immunity in humans

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 789 - 801, 2008

Jia Li - (email)

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171

Global dynamics of a Predator-Prey model with Hassell-Varley Type functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 4, Pages : 857 - 871, 2008

Sze-Bi Hsu - (email), Tzy-Wei Hwang - (email), Yang Kuang - (email)

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172

Modeling the rapid spread of avian influenza (H5N1) in India

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 523 - 537, 2008

Arni S.R. Srinivasa Rao - (email)

 Abstract       Full Text      Related Articles

173

Optimal control of vaccine distribution in a rabies metapopulation model

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 219 - 238, 2008

Erika Asano - (email), Louis J. Gross - (email), Suzanne Lenhart - (email), Leslie A. Real - (email)

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174

Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 1 - 20, 2008

Linda J. S. Allen - (email), B. M. Bolker - (email), Yuan Lou - (email), A. L. Nevai - (email)

 Abstract       Full Text      Related Articles

175

A passivity-based stability criterion for a class of biochemical reaction networks

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 1 - 19, 2008

Murat Arcak - (email), Eduardo D. Sontag - (email)

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176

The role of leaf height in plant competition for sunlight: analysis of a canopy partitioning model

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 101 - 124, 2008

Andrew L. Nevai - (email), Richard R. Vance - (email)

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177

Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 145 - 174, 2008

Oluwaseun Sharomi - (email), Chandra N. Podder - (email), Abba B. Gumel - (email), Baojun Song - (email)

 Abstract       Full Text      Related Articles

178

Multi-compartment models

DCDS Supplements  Volume 2007, Issue Special, Pages : 506 - 519, 2007

Abderrahman Iggidr - (email), Josepha Mbang - (email), Gauthier Sallet - (email), Jean-Jules Tewa - (email)

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179

Global stability of equilibria in a tick-borne disease model

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 567 - 572, 2007

Shangbing Ai - (email)

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180

Final and peak epidemic sizes for SEIR models with quarantine and isolation

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 675 - 686, 2007

Z. Feng - (email)

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181

Global stability of two epidemic models

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 2, Pages : 333 - 345, 2007

Qingming Gou - (email), Wendi Wang - (email)

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182

A competition-diffusion system with a refuge

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 2, Pages : 435 - 454, 2007

Daozhou Gao - (email), Xing Liang - (email)

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183

Estimating the reproduction number from the initial phase of the Spanish flu pandemic waves in Geneva, Switzerland

Mathematical Biosciences and Engineering  Volume 4, Issue 3, Pages : 457 - 470, 2007

Gerardo Chowell - (email), Catherine E. Ammon - (email), Nicolas W. Hengartner - (email), James M. Hyman - (email)

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184

General models of host-parasite systems. Global analysis

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 1 - 17, 2007

P. Adda - (email), J. L. Dimi - (email), A. Iggidir - (email), J. C. Kamgang - (email), G. Sallet - (email), J. J. Tewa - (email)

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185

Polytopic Lyapunov functions for persistence analysis of competing species

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 73 - 93, 2007

Frédéric Grognard - (email), Frédéric Mazenc - (email), Alain Rapaport - (email)

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186

A model of HIV-1 infection with HAART therapy and intracellular delays

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 229 - 240, 2007

Rachid Ouifki - (email), Gareth Witten - (email)

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187

Competitive exclusion and coexistence in a nonlinear refuge-mediated selection model

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 683 - 698, 2007

Azmy S. Ackleh - (email), Youssef M. Dib - (email), S. R.-J. Jang - (email)

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188

Modeling cell movement in anisotropic and heterogeneous network tissues

Networks and Heterogeneous Media  Volume 2, Issue 2, Pages : 333 - 357, 2007

A. Chauviere - (email), T. Hillen - (email), L. Preziosi - (email)

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189

Modeling diseases with latency and relapse

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 205 - 219, 2007

P. van den Driessche - (email), Lin Wang - (email), Xingfu Zou - (email)

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190

Local stability implies global stability in some one-dimensional discrete single-species models

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 191 - 199, 2006

Eduardo Liz - (email)

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191

Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 571 - 582, 2006

Heiko Enderling - (email), Alexander R.A. Anderson - (email), Mark A.J. Chaplain - (email), Glenn W.A. Rowe - (email)

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192

Lyapunov functions for tuberculosis models with fast and slow progression

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 603 - 614, 2006

C. Connell Mccluskey - (email)

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193

Modeling the potential impact of rectal microbicides to reduce HIV transmission in bathhouses

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 459 - 466, 2006

Romulus Breban - (email), Ian McGowan - (email), Chad Topaz - (email), Elissa J. Schwartz - (email), Peter Anton - (email), Sally Blower - (email)

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194

The influence of infectious diseases on population genetics

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 467 - 483, 2006

Zhilan Feng - (email), Carlos Castillo-Chavez - (email)

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195

Global dynamics of a staged progression model for infectious diseases

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 513 - 525, 2006

Hongbin Guo - (email), Michael Yi Li - (email)

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196

Mathematical epidemiology of HIV/AIDS in cuba during the period 1986-2000

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 545 - 556, 2006

Brandy Rapatski - (email), Petra Klepac - (email), Stephen Dueck - (email), Maoxing Liu - (email), Leda Ivic Weiss - (email)

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197

Global stability of traveling curved fronts in the Allen-Cahn equations

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 819 - 832, 2006

Hirokazu Ninomiya - (email), Masaharu Taniguchi - (email)

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198

Analysis of a nonlinear system for community intervention in mosquito control

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 3, Pages : 605 - 622, 2006

M. Predescu - (email), R. Levins - (email), T. Awerbuch-Friedlander - (email)

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199

An allelopathic competition model with quorum sensing and delayed toxicant production

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 37 - 50, 2005

Paolo Fergola - (email), Marianna Cerasuolo - (email), Edoardo Beretta - (email)

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200

Differential susceptibility and infectivity epidemic models

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 89 - 100, 2005

James M. Hyman - (email), Jia Li - (email)

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201

Modeling spatial spread of west nile virus and impact of directional dispersal of birds

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 145 - 160, 2005

Rongsong Liu - (email), Jiangping Shuai - (email), Jianhong Wu - (email), Huaiping Zhu - (email)

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202

Stability, delay, and chaotic behavior in a Lotka-Volterra predator-prey system

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 173 - 187, 2005

S. Nakaoka - (email), Y. Saito - (email), Y. Takeuchi - (email)

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203

Competing species models with an infectious disease

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 219 - 235, 2005

Roberto A. Saenz - (email), Herbert W. Hethcote - (email)

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204

Host Extinction Dynamics in a Simple Parasite-Host Interaction Model

Mathematical Biosciences and Engineering  Volume 2, Issue 4, Pages : 743 - 751, 2005

Tzy-Wei Hwang - (email), Yang Kuang - (email)

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205

The Role of Vaccination in the Control of SARS

Mathematical Biosciences and Engineering  Volume 2, Issue 4, Pages : 753 - 769, 2005

Julijana Gjorgjieva - (email), Kelly Smith - (email), Gerardo Chowell - (email), Fabio Sánchez - (email), Jessica Snyder - (email), Carlos Castillo-Chavez - (email)

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206

A Mathematical Model for Fibroblast Growth Factor Competition Based on Enzyme

Mathematical Biosciences and Engineering  Volume 2, Issue 4, Pages : 789 - 810, 2005

Justin P. Peters - (email), Khalid Boushaba - (email), Marit Nilsen-Hamilton - (email)

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207

A two-strain HIV-1 mathematical model to assess the effects of chemotherapy on disease parameters

Mathematical Biosciences and Engineering  Volume 2, Issue 4, Pages : 811 - 832, 2005

Tinevimbo Shiri - (email), Winston Garira - (email), Senelani D. Musekwa - (email)

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208

Interactions of Neanderthals and Modern Humans: What Can Be Inferred from Mitochondrial DNA?

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 487 - 498, 2005

Krzysztof A. Cyran - (email), Marek Kimmel - (email)

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209

Critical-Point Analysis For Three-Variable Cancer Angiogenesis Models

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 511 - 525, 2005

Urszula Foryś - (email), Yuri Kheifetz - (email), Yuri Kogan - (email)

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210

A Metapopulation Model Of Granuloma Formation In The Lung During Infection With Mycobacterium Tuberculosis

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 535 - 560, 2005

Suman Ganguli - (email), David Gammack - (email), Denise E. Kirschner - (email)

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211

Global stability in a regulated logistic growth model

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 2, Pages : 461 - 468, 2005

E. Trofimchuk - (email), Sergei Trofimchuk - (email)

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212

On the stability of a nonlinear maturity structured model of cellular proliferation

Discrete and Continuous Dynamical Systems  Volume 12, Issue 3, Pages : 501 - 522, 2004

Mostafa Adimy - (email), Fabien Crauste - (email), Laurent Pujo-Menjouet - (email)

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213

The Effect of Different Forms for the Delay in A Model of the Nephron

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 97 - 109, 2004

Anne C. Skeldon - (email), Ian Purvey - (email)

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214

Communication and Synchronization in Disconnected Networks with Dynamic Topology: Moving Neighborhood Networks

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 347 - 359, 2004

Joseph D. Skufca - (email), Erik M. Bollt - (email)

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215

Stability analysis for SIS epidemic models with vaccination and constant population size

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 635 - 642, 2004

Jianquan Li - (email), Zhien Ma - (email)

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216

Global stability of an age-structured SIRS epidemic model with vaccination

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 643 - 652, 2004

Geni Gupur - (email), Xue-Zhi Li - (email)

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217

Global stability for a chemostat-type model with delayed nutrient recycling

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 663 - 670, 2004

Zhiqi Lu - (email)

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218

Stability analysis of a simplified model for the control of testosterone secretion

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 729 - 738, 2004

Hongshan Ren - (email)

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219

Critical role of nosocomial transmission in the Toronto SARS outbreak

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 1 - 13, 2004

Glenn Webb - (email), Martin J. Blaser - (email), Huaiping Zhu - (email), Sten Ardal - (email), Jianhong Wu - (email)

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220

A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 57 - 60, 2004

Andrei Korobeinikov - (email), Philip K. Maini - (email)

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221

Influence of backward bifurcation on interpretation of $R_0$ in a model of epidemic tuberculosis with reinfection

Mathematical Biosciences and Engineering  Volume 1, Issue 1, Pages : 81 - 93, 2004

Benjamin H. Singer - (email), Denise E. Kirschner - (email)

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222

A mathematical model of tumor-immune evasion and siRNA treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 39 - 58, 2003

J.C. Arciero - (email), T.L. Jackson - (email), D.E. Kirschner - (email)

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223

A mathematical model of prostate tumor growth and androgen-independent relapse

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 187 - 201, 2003

T.L. Jackson - (email)

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224

Dynamics of a model for brain tumors reveals a small window for therapeutic intervention

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 289 - 295, 2003

Kristin R. Swanson - (email), Ellsworth C. Alvord, Jr - (email), J. D. Murray - (email)

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225

A free boundary problem model of ductal carcinoma in situ

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 337 - 348, 2003

Yongzhi Xu - (email)

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226

Yorke and Wright 3/2-stability theorems from a unified point of view

DCDS Supplements  Volume 2003, Issue Special, Pages : 580 - 589, 2003

Eduardo Liz - (email), Victor Tkachenko - (email), Sergei Trofimchuk - (email)

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227

Optimal control of treatments in a two-strain tuberculosis model

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 4, Pages : 473 - 482, 2002

E. Jung - (email), Suzanne Lenhart - (email), Z. Feng - (email)

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228

Analysis of a chemostat model for bacteria and virulent bacteriophage

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 4, Pages : 495 - 520, 2002

Edoardo Beretta - (email), Fortunata Solimano - (email), Yanbin Tang - (email)

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229

A 3/2 stability result for a regulated logistic growth model

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 2, Pages : 265 - 278, 2002

Xianhua Tang - (email), Xingfu Zou - (email)

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