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On the relationship between the energy shaping and the Lyapunov constraint based methods

Journal of Geometric Mechanics  Volume 9, Issue 4, Pages : 459 - 486, 2017

Sergio Grillo - (email), Leandro Salomone - (email), Marcela Zuccalli - (email)

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Modeling and optimal control of HIV/AIDS prevention through PrEP

Discrete and Continuous Dynamical Systems - Series S  Volume 11, Issue 1, Pages : 119 - 141, 2017

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

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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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Expansivity implies existence of Hölder continuous Lyapunov function

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3575 - 3589, 2017

Łukasz Struski - (email), Jacek Tabor - (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 10, Pages : 3721 - 3747, 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 1, 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 1, Pages : 275 - 298, 2017

Ping Yan - (email)

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12

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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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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14

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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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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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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18

On practical stability of differential inclusions using Lyapunov functions

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 1977 - 1986, 2017

Volodymyr Pichkur - (email)

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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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Stationarity and periodicity of positive solutions to stochastic SEIR epidemic models with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2479 - 2500, 2017

Qun Liu - (email), Daqing Jiang - (email), Ningzhong Shi - (email), Tasawar Hayat - (email), Ahmed Alsaedi - (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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Exponential stability of 1-d wave equation with the boundary time delay based on the interior control

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 3, Pages : 557 - 579, 2017

Yaru Xie - (email), Genqi Xu - (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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Persistence in phage-bacteria communities with nested and one-to-one infection networks

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 859 - 875, 2017

Dan A. Korytowski - (email), Hal L. Smith - (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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Traveling wave solutions in a diffusive producer-scrounger model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 627 - 645, 2016

Junhao Wen - (email), Peixuan Weng - (email)

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A note on the global properties of an age-structured viral dynamic model with multiple target cell populations

Mathematical Biosciences and Engineering  Volume 14, Issue 3, Pages : 805 - 820, 2016

Shaoli Wang - (email), Jianhong Wu - (email), Libin Rong - (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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A multi-group SIR epidemic model with age structure

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3515 - 3550, 2016

Toshikazu Kuniya - (email), Jinliang Wang - (email), Hisashi Inaba - (email)

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31

A singular limit for an age structured mutation problem

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 17 - 30, 2016

Jacek Banasiak - (email), Aleksandra Falkiewicz - (email)

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32

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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33

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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34

On the Muskat problem

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 631 - 645, 2016

Jan Prüss - (email), Gieri Simonett - (email)

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Nonlinear stochastic partial differential equations of hyperbolic type driven by Lévy-type noises

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 9, Pages : 3269 - 3299, 2016

Jiahui Zhu - (email), Zdzisław Brzeźniak - (email)

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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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Analysis of stochastic vector-host epidemic model with direct transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2109 - 2127, 2016

Yanzhao Cao - (email), Dawit Denu - (email)

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38

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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39

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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40

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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41

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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42

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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43

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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44

Finite composite games: Equilibria and dynamics

Journal of Dynamics and Games  Volume 3, Issue 1, Pages : 101 - 120, 2016

Sylvain Sorin - (email), Cheng Wan - (email)

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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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46

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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47

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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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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An almost periodic epidemic model with age structure in a patchy environment

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 291 - 311, 2015

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

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50

Canard-type solutions in epidemiological models

DCDS Supplements  Volume 2015, Issue special, Pages : 85 - 93, 2015

Jacek Banasiak - (email), Eddy Kimba Phongi - (email)

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51

Stabilization of a hyperbolic/elliptic system modelling the viscoelastic-gravitational deformation in a multilayered Earth

DCDS Supplements  Volume 2015, Issue special, Pages : 66 - 74, 2015

Alicia Arjona - (email), Jesús Ildefonso Díaz - (email)

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52

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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53

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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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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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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Age-structured and delay differential-difference model of hematopoietic stem cell dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2765 - 2791, 2015

Mostafa Adimy - (email), Abdennasser Chekroun - (email), Tarik-Mohamed Touaoula - (email)

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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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58

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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Review on computational methods for Lyapunov functions

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2291 - 2331, 2015

Peter Giesl - (email), Sigurdur Hafstein - (email)

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Efficient computation of Lyapunov functions for Morse decompositions

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2419 - 2451, 2015

Arnaud Goullet - (email), Shaun Harker - (email), Konstantin Mischaikow - (email), William D. Kalies - (email), Dinesh Kasti - (email)

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Grid refinement in the construction of Lyapunov functions using radial basis functions

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2453 - 2476, 2015

Najla Mohammed - (email), Peter Giesl - (email)

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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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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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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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Extinction in discrete, competitive, multi-species patch models

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1583 - 1590, 2015

David M. Chan - (email), Matt McCombs - (email), Sarah Boegner - (email), Hye Jin Ban - (email), Suzanne L. Robertson - (email)

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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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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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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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69

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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70

Computation of Lyapunov functions for systems with multiple local attractors

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4019 - 4039, 2015

Jóhann Björnsson - (email), Peter Giesl - (email), Sigurdur F. Hafstein - (email), Christopher M. Kellett - (email)

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71

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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72

Finite-time stabilization and $H_\infty$ control of nonlinear delay systems via output feedback

Journal of Industrial and Management Optimization  Volume 12, Issue 1, Pages : 303 - 315, 2015

Ta T.H. Trang - (email), Vu N. Phat - (email), Adly Samir - (email)

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73

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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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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The threshold of a stochastic SIRS epidemic model in a population with varying size

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1277 - 1295, 2015

Yanan Zhao - (email), Daqing Jiang - (email), Xuerong Mao - (email), Alison Gray - (email)

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76

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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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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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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79

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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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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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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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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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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A singularly perturbed age structured SIRS model with fast recovery

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2383 - 2399, 2014

Jacek Banasiak - (email), Rodrigue Yves M'pika Massoukou - (email)

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85

Optimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equations

Discrete and Continuous Dynamical Systems  Volume 34, Issue 12, Pages : 5325 - 5357, 2014

Ralf W. Wittenberg - (email)

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86

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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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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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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89

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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90

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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91

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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92

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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93

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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94

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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95

Shadowing near nonhyperbolic fixed points

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3761 - 3772, 2014

Alexey A. Petrov - (email), Sergei Yu. Pilyugin - (email)

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96

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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97

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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98

Analysis of a CD4$^+$ T cell viral infection model with a class of saturated infection rate

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 735 - 745, 2014

Zhixing Hu - (email), Weijuan Pang - (email), Fucheng Liao - (email), Wanbiao Ma - (email)

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99

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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100

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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101

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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102

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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103

Epidemic models with age of infection, indirect transmission and incomplete treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2239 - 2265, 2013

Liming Cai - (email), Maia Martcheva - (email), Xue-Zhi Li - (email)

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104

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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105

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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106

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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107

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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108

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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109

Spatiotemporal patterns of a homogeneous diffusive system modeling hair growth: Global asymptotic behavior and multiple bifurcation analysis

Communications on Pure and Applied Analysis  Volume 13, Issue 1, Pages : 347 - 369, 2013

Fengqi Yi - (email), Hua Zhang - (email), Alhaji Cherif - (email), Wenying Zhang - (email)

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110

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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111

A singularly perturbed SIS model with age structure

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 499 - 521, 2013

Jacek Banasiak - (email), Eddy Kimba Phongi - (email), MirosŁaw Lachowicz - (email)

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112

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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113

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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114

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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115

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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116

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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117

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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118

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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119

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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120

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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121

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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122

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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123

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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124

Existence of piecewise linear Lyapunov functions in arbitrary dimensions

Discrete and Continuous Dynamical Systems  Volume 32, Issue 10, Pages : 3539 - 3565, 2012

Peter Giesl - (email), Sigurdur Hafstein - (email)

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125

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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126

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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127

Optimal control of chikungunya disease: Larvae reduction, treatment and prevention

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 369 - 392, 2012

Djamila Moulay - (email), M. A. Aziz-Alaoui - (email), Hee-Dae Kwon - (email)

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128

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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129

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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130

Numerical recipes for investigating endemic equilibria of age-structured SIR epidemics

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2675 - 2699, 2012

Dimitri Breda - (email), Stefano Maset - (email), Rossana Vermiglio - (email)

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131

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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132

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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133

Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction

Mathematical Control and Related Fields  Volume 1, Issue 4, Pages : 469 - 491, 2011

Martin Gugat - (email), Markus Dick - (email)

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134

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)

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135

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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136

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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137

Abstract settings for stabilization of nonlinear parabolic system with a Riccati-based strategy. Application to Navier-Stokes and Boussinesq equations with Neumann or Dirichlet control

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1169 - 1208, 2011

Mehdi Badra - (email)

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138

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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139

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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140

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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141

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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142

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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143

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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144

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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145

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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146

Global dynamics of the chemostat with different removal rates and variable yields

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 827 - 840, 2011

Tewfik Sari - (email), Frederic Mazenc - (email)

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147

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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148

Strict Lyapunov functions for semilinear parabolic partial differential equations

Mathematical Control and Related Fields  Volume 1, Issue 2, Pages : 231 - 250, 2011

Frédéric Mazenc - (email), Christophe Prieur - (email)

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149

A strict $H^1$-Lyapunov function and feedback stabilization for the isothermal Euler equations with friction

Numerical Algebra, Control and Optimization  Volume 1, Issue 2, Pages : 225 - 244, 2011

Markus Dick - (email), Martin Gugat - (email), Günter Leugering - (email)

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150

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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151

Classical solutions and feedback stabilization for the gas flow in a sequence of pipes

Networks and Heterogeneous Media  Volume 5, Issue 4, Pages : 691 - 709, 2010

Markus Dick - (email), Martin Gugat - (email), Günter Leugering - (email)

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152

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)

 Abstract       References       Full Text      Related Articles

153

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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154

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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155

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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156

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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157

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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158

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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159

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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160

Age-dependent equations with non-linear diffusion

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 691 - 712, 2009

Christoph Walker - (email)

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161

Approximating the basin of attraction of time-periodic ODEs by meshless collocation

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1249 - 1274, 2009

Peter Giesl - (email), Holger Wendland - (email)

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162

Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a Cauchy problem

DCDS Supplements  Volume 2009, Issue Special, Pages : 259 - 268, 2009

Peter Giesl - (email), Holger Wendland - (email)

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163

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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164

New comparison principle with Razumikhin condition for impulsive infinite delay differential systems

DCDS Supplements  Volume 2009, Issue Special, Pages : 739 - 743, 2009

Xiaowei Tang - (email), Xilin Fu - (email)

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165

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

166

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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167

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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168

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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169

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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170

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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171

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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172

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)

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173

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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174

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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175

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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176

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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177

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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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)

 Abstract       Full Text      Related Articles      

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

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)

 Abstract       Full Text      Related Articles

181

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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182

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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183

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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184

Modeling and asymptotic stability of a growth factor-dependent stem cell dynamics model with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 19 - 38, 2007

Mostafa Adimy - (email), Fabien Crauste - (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

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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187

Lyapunov's second method for nonautonomous differential equations

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 375 - 403, 2007

Lars Grüne - (email), Peter E. Kloeden - (email), Stefan Siegmund - (email), Fabian R. Wirth - (email)

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188

Blow-up behavior for a quasilinear parabolic equation with nonlinear boundary condition

Discrete and Continuous Dynamical Systems  Volume 18, Issue 1, Pages : 71 - 84, 2007

Jong-Shenq Guo - (email)

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189

Construction of a global Lyapunov function using radial basis functions with a single operator

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 1, Pages : 101 - 124, 2006

Peter Giesl - (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

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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192

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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193

A descent method for the free energy of multicomponent systems

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 505 - 528, 2006

Herbert Gajewski - (email), Jens A. Griepentrog - (email)

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194

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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195

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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196

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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197

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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198

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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199

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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200

Mathematical analysis of an age-structured SIR epidemic model with vertical transmission

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 69 - 96, 2005

Hisashi Inaba - (email)

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201

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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202

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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203

Age-dependent population dynamics diffusive systems

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1233 - 1247, 2004

Bedr'Eddine Ainseba - (email)

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204

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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205

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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206

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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207

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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208

Asymptotic behaviors in a transiently chaotic neural network

Discrete and Continuous Dynamical Systems  Volume 10, Issue 3, Pages : 805 - 826, 2004

Shyan-Shiou Chen - (email), Chih-Wen Shih - (email)

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209

Global attractors for damped semilinear wave equations

Discrete and Continuous Dynamical Systems  Volume 10, Issue 1/2, Pages : 31 - 52, 2003

John M. Ball - (email)

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210

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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211

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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212

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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213

Extended gradient systems: Dimension one

Discrete and Continuous Dynamical Systems  Volume 6, Issue 3, Pages : 503 - 518, 2000

Siniša Slijepčević - (email)

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214

Lyapunov functions and attractors under variable time-step discretization

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 163 - 172, 1996

Peter E. Kloeden - (email), Björn Schmalfuss - (email)

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