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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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2

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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3

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

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : 299 - 321, 2017

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

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4

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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5

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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6

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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7

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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8

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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9

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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10

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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11

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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12

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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13

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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14

Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models

Kinetic and Related Models  Volume 10, Issue 3, Pages : 587 - 612, 2016

María J. Cáceres - (email), Ricarda Schneider - (email)

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15

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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16

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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17

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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18

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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19

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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20

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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21

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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22

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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23

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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24

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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25

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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26

On control synthesis for uncertain dynamical discrete-time systems through polyhedral techniques

DCDS Supplements  Volume 2015, Issue special, Pages : 723 - 732, 2015

Elena K. Kostousova - (email)

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27

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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28

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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29

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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30

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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31

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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32

Steady state bifurcations for the Kuramoto-Sivashinsky equation: A computer assisted proof

Journal of Computational Dynamics  Volume 2, Issue 1, Pages : 95 - 142, 2015

Piotr Zgliczyński - (email)

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33

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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34

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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35

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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36

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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37

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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38

A weak condition for global stability of delayed neural networks

Journal of Industrial and Management Optimization  Volume 12, Issue 2, Pages : 505 - 514, 2015

Ricai Luo - (email), Honglei Xu - (email), Wu-Sheng Wang - (email), Jie Sun - (email), Wei Xu - (email)

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39

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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40

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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41

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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42

Rigorous numerics for nonlinear operators with tridiagonal dominant linear part

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4765 - 4789, 2015

Maxime Breden - (email), Laurent Desvillettes - (email), Jean-Philippe Lessard - (email)

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43

Subgradient-based neural network for nonconvex optimization problems in support vector machines with indefinite kernels

Journal of Industrial and Management Optimization  Volume 12, Issue 1, Pages : 285 - 301, 2015

Fengqiu Liu - (email), Xiaoping Xue - (email)

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44

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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45

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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46

Continuous separation for monotone skew-product semiflows: From theoretical to numerical results

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 3, Pages : 915 - 944, 2015

Juan A. Calzada - (email), Rafael Obaya - (email), Ana M. Sanz - (email)

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47

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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48

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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49

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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50

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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51

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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52

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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53

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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54

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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55

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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56

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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57

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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58

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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59

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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60

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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61

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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62

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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63

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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64

Average criteria for periodic neural networks with delay

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 761 - 773, 2014

Benedetta Lisena - (email)

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65

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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66

Grasping force based manipulation for multifingered hand-arm Robot using neural networks

Numerical Algebra, Control and Optimization  Volume 4, Issue 1, Pages : 59 - 74, 2013

Chun-Hsu Ko - (email), Jing-Kun Chen - (email)

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67

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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68

On a voltage-conductance kinetic system for integrate & fire neural networks

Kinetic and Related Models  Volume 6, Issue 4, Pages : 841 - 864, 2013

Benoît Perthame - (email), Delphine Salort - (email)

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69

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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70

Designing neural networks for modeling biological data: A statistical perspective

Mathematical Biosciences and Engineering  Volume 11, Issue 2, Pages : 331 - 342, 2013

Michele La Rocca - (email), Cira Perna - (email)

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71

Structural phase transitions in neural networks

Mathematical Biosciences and Engineering  Volume 11, Issue 1, Pages : 139 - 148, 2013

Tatyana S. Turova - (email)

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72

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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73

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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74

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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75

Model for hepatitis C virus transmissions

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1045 - 1065, 2013

Elamin H. Elbasha - (email)

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76

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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77

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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78

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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79

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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80

Unique periodic orbits of a delay differential equation with piecewise linear feedback function

Discrete and Continuous Dynamical Systems  Volume 33, Issue 6, Pages : 2369 - 2387, 2012

Ábel Garab - (email)

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81

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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82

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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83

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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84

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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85

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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86

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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87

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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88

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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89

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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90

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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91

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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92

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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93

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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94

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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95

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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96

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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97

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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98

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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99

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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100

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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101

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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102

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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103

New passivity analysis of continuous-time recurrent neural networks with multiple discrete delays

Journal of Industrial and Management Optimization  Volume 7, Issue 2, Pages : 283 - 289, 2011

Zhigang Zeng - (email), Tingwen Huang - (email)

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104

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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105

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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106

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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107

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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108

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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109

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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110

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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111

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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112

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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113

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)

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114

Feedback stabilization for a chemostat with delayed output

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

Gonzalo Robledo - (email)

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115

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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116

Attractor minimal sets for nonautonomous type-K competitive and semi-convex delay differential equations with applications

Discrete and Continuous Dynamical Systems  Volume 24, Issue 2, Pages : 589 - 611, 2009

Wan-Tong Li - (email), Bin-Guo Wang - (email)

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117

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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118

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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119

A Lohner-type algorithm for control systems and ordinary differential inclusions

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 2, Pages : 365 - 385, 2008

Tomasz Kapela - (email), Piotr Zgliczyński - (email)

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120

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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121

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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122

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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123

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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124

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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125

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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126

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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127

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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128

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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129

Exponential stability in non-autonomous delayed equations with applications to neural networks

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 517 - 536, 2007

Sylvia Novo - (email), Rafael Obaya - (email), Ana M. Sanz - (email)

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130

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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131

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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132

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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133

Rigorous numerical models for the dynamics of complex Hénon mappings on their chain recurrent sets

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 529 - 558, 2006

Suzanne Lynch Hruska - (email)

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134

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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135

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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136

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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137

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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138

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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139

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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140

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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141

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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142

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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143

A simple delayed neural network with large capacity for associative memory

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 851 - 863, 2004

Jianhong Wu - (email), Ruyuan Zhang - (email)

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144

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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145

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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146

Learning theory applied to Sigmoid network classification of protein biological function using primary protein structure

DCDS Supplements  Volume 2003, Issue Special, Pages : 898 - 904, 2003

D. Warren - (email), K Najarian - (email)

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147

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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148

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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