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Time--periodic and stable patterns of a two--competing--species Keller--Segel chemotaxis model: Effect of cellular growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3547 - 3574, 2017

Qi Wang - (email), Jingyue Yang - (email), Lu Zhang - (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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Asymptotic behaviour of an age and infection age structured model for the propagation of fungal diseases in plants

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 7, Pages : 2879 - 2905, 2017

Jean-Baptiste Burie - (email), Arnaud Ducrot - (email), Abdoul Aziz Mbengue - (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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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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Dynamics of epidemic models with asymptomatic infection and seasonal succession

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1407 - 1424, 2017

Yilei Tang - (email), Dongmei Xiao - (email), Weinian Zhang - (email), Di Zhu - (email)

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Image segmentation with dynamic artifacts detection and bias correction

Inverse Problems and Imaging  Volume 11, Issue 3, Pages : 577 - 600, 2017

Dominique Zosso - (email), Jing An - (email), James Stevick - (email), Nicholas Takaki - (email), Morgan Weiss - (email), Liane S. Slaughter - (email), Huan H. Cao - (email), Paul S. Weiss - (email), Andrea L. Bertozzi - (email)

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Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2365 - 2387, 2017

Hui Miao - (email), Zhidong Teng - (email), Chengjun Kang - (email)

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Individual based models and differential equations models of nosocomial epidemics in hospital intensive care units

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 1145 - 1166, 2017

Glenn F. Webb - (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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A minimal surface criterion for graph partitioning

Inverse Problems and Imaging  Volume 10, Issue 4, Pages : 1149 - 1180, 2016

Dominique Zosso - (email), Braxton Osting - (email)

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A reaction-convection-diffusion model for cholera spatial dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2785 - 2809, 2016

Xueying Wang - (email), Drew Posny - (email), Jin Wang - (email)

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Modeling the spread of bed bug infestation and optimal resource allocation for disinfestation

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 969 - 980, 2016

Ali Gharouni - (email), Lin Wang - (email)

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Attractors and entropy bounds for a nonlinear RDEs with distributed delay in unbounded domains

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1259 - 1277, 2016

Dalibor Pražák - (email), Jakub Slavík - (email)

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A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 6, Pages : 1079 - 1101, 2015

Tomás Caraballo - (email), Xiaoying Han - (email)

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16

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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17

Modeling the intrinsic dynamics of foot-and-mouth disease

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 425 - 442, 2015

Steady Mushayabasa - (email), Drew Posny - (email), Jin Wang - (email)

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Global behavior of delay differential equations model of HIV infection with apoptosis

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 103 - 119, 2015

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

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An almost periodic epidemic model in a patchy environment

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 271 - 289, 2015

Bin-Guo Wang - (email), Wan-Tong Li - (email), Lizhong Qiang - (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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Dynamics of harmful algae with seasonal temperature variations in the cove-main lake

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 313 - 335, 2015

Feng-Bin Wang - (email), Sze-Bi Hsu - (email), Wendi Wang - (email)

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22

Spread of phage infection of bacteria in a petri dish

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 471 - 496, 2015

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

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Growth of single phytoplankton species with internal storage in a water column

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 607 - 620, 2015

Linfeng Mei - (email), Sze-Bi Hsu - (email), Feng-Bin Wang - (email)

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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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Global stability of a delayed multi-group SIRS epidemic model with nonlinear incidence rates and relapse of infection

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3057 - 3091, 2015

Yoshiaki Muroya - (email), Toshikazu Kuniya - (email), Yoichi Enatsu - (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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29

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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30

Global stability of a multi-group model with vaccination age, distributed delay and random perturbation

Mathematical Biosciences and Engineering  Volume 12, Issue 5, Pages : 1083 - 1106, 2015

Jinhu Xu - (email), Yicang Zhou - (email)

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31

A nosocomial epidemic model with infection of patients due to contaminated rooms

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 761 - 787, 2015

Cameron Browne - (email), Glenn F. Webb - (email)

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32

A mathematical model of HTLV-I infection with two time delays

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 432 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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A mathematical model of HTLV-I infection with two time delays

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 431 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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34

Threshold dynamics of a periodic SIR model with delay in an infected compartment

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 555 - 564, 2015

Zhenguo Bai - (email)

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35

Some well-posedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 457 - 491, 2014

Aissa Guesmia - (email), Nasser-eddine Tatar - (email)

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36

A periodic Ross-Macdonald model in a patchy environment

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 10, Pages : 3133 - 3145, 2014

Daozhou Gao - (email), Yijun Lou - (email), Shigui Ruan - (email)

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37

Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1375 - 1393, 2014

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

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38

Asymptotic stability of Webster-Lokshin equation

Mathematical Control and Related Fields  Volume 4, Issue 4, Pages : 481 - 500, 2014

Denis Matignon - (email), Christophe Prieur - (email)

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39

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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40

Localization, smoothness, and convergence to equilibrium for a thin film equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4537 - 4553, 2014

Eric A. Carlen - (email), Süleyman Ulusoy - (email)

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41

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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42

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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43

Asymptotic pattern of a migratory and nonmonotone population model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1171 - 1195, 2014

Chufen Wu - (email), Dongmei Xiao - (email), Xiao-Qiang Zhao - (email)

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44

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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45

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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46

A mathematical model of multistage hematopoietic cell lineages

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 1 - 26, 2013

Mostafa Adimy - (email), Oscar Angulo - (email), Catherine Marquet - (email), Leila Sebaa - (email)

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47

Multiple equilibrium points in global attractor for the weakly damped wave equation with critical exponent

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 217 - 230, 2013

Fengjuan Meng - (email), Chengkui Zhong - (email)

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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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49

Global analysis of age-structured within-host virus model

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

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

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50

Spread of viral infection of immobilized bacteria

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 327 - 342, 2013

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

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51

Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 3, Pages : 821 - 845, 2012

Youshan Tao - (email), Lihe Wang - (email), Zhi-An Wang - (email)

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52

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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53

Memory relaxation of type III thermoelastic extensible beams and Berger plates

Evolution Equations and Control Theory  Volume 1, Issue 2, Pages : 251 - 270, 2012

Filippo Dell'Oro - (email), Vittorino Pata - (email)

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Uniform $L^1$-stability of the relativistic Boltzmann equation near vacuum

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1141 - 1161, 2012

Seung-Yeal Ha - (email), Eunhee Jeong - (email), Robert M. Strain - (email)

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55

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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56

Avian influenza dynamics in wild birds with bird mobility and spatial heterogeneous environment

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2829 - 2848, 2012

Naveen K. Vaidya - (email), Feng-Bin Wang - (email), Xingfu Zou - (email)

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57

Global properties of a delayed SIR epidemic model with multiple parallel infectious stages

Mathematical Biosciences and Engineering  Volume 9, Issue 3, Pages : 685 - 695, 2012

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

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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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59

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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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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61

On the global stability of an SIRS epidemic model with distributed delays

DCDS Supplements  Volume 2011, Issue Special, Pages : 1119 - 1128, 2011

Yukihiko Nakata - (email), Yoichi Enatsu - (email), Yoshiaki Muroya - (email)

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62

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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Dynamical behavior of a ratio dependent predator-prey system with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 719 - 738, 2011

Canan Çelik - (email)

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Stability of linear differential equations with a distributed delay

Communications on Pure and Applied Analysis  Volume 10, Issue 5, Pages : 1361 - 1375, 2011

Leonid Berezansky - (email), Elena Braverman - (email)

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Global and exponential attractors for a Ginzburg-Landau model of superfluidity

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 2, Pages : 247 - 271, 2010

Alessia Berti - (email), Valeria Berti - (email), Ivana Bochicchio - (email)

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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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Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 61 - 74, 2010

Yoichi Enatsu - (email), Yukihiko Nakata - (email), Yoshiaki Muroya - (email)

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68

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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Global stability for a class of discrete SIR epidemic models

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 347 - 361, 2010

Yoichi Enatsu - (email), Yukihiko Nakata - (email), Yoshiaki Muroya - (email)

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70

Stability implications of delay distribution for first-order and second-order systems

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 2, Pages : 327 - 345, 2009

Gábor Kiss - (email), Bernd Krauskopf - (email)

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71

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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72

A necessary and sufficient condition for the existence of periodic solutions of linear impulsive differential equations with distributed delay

DCDS Supplements  Volume 2007, Issue Special, Pages : 35 - 43, 2007

Jehad O. Alzabut - (email)

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73

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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Pullback and forward attractors for a 3D LANS$-\alpha$ model with delay

Discrete and Continuous Dynamical Systems  Volume 15, Issue 2, Pages : 559 - 578, 2006

Tomás Caraballo - (email), Antonio M. Márquez-Durán - (email), José Real - (email)

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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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The stability of an SIR epidemic model with time delays

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 101 - 109, 2005

Zhen Jin - (email), Zhien Ma - (email)

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Sufficient conditions for stability of linear differential equations with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 1, Issue 2, Pages : 233 - 256, 2001

Samuel Bernard - (email), Jacques Bélair - (email), Michael C Mackey - (email)

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