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Dynamics and spatiotemporal pattern formations of a homogeneous reaction-diffusion Thomas model

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1149 - 1164, 2017

Hongyan Zhang - (email), Siyu Liu - (email), Yue Zhang - (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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3

Sex-biased prevalence in infections with heterosexual, direct, and vector-mediated transmission: A theoretical analysis

Mathematical Biosciences and Engineering  Volume 15, Issue 2, Pages : 125 - 140, 2017

Andrea Pugliese - (email), Abba B. Gumel - (email), Fabio A. Milner - (email), Jorge X. Velasco-Hernandez - (email)

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4

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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5

Dynamics of a nonlocal dispersal SIS epidemic model

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

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

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6

Stability analysis on an economic epidemiological model with vaccination

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 975 - 999, 2017

Wisdom S. Avusuglo - (email), Kenzu Abdella - (email), Wenying Feng - (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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8

Mixed vaccination strategy for the control of tuberculosis: A case study in China

Mathematical Biosciences and Engineering  Volume 14, Issue 3, Pages : 695 - 708, 2016

Siyu Liu - (email), Yong Li - (email), Yingjie Bi - (email), Qingdao Huang - (email)

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9

The role of TNF-$\alpha$ inhibitor in glioma virotherapy: A mathematical model

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 305 - 319, 2016

Elzbieta Ratajczyk - (email), Urszula Ledzewicz - (email), Maciej Leszczynski - (email), Avner Friedman - (email)

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Global stability of a multistrain SIS model with superinfection

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

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

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11

Type-dependent stochastic Ising model describing the dynamics of a non-symmetric feedback module

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 981 - 998, 2016

Manuel González-Navarrete - (email)

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12

Mathematical and numerical analysis of a mathematical model of mixed immunotherapy and chemotherapy of cancer

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1279 - 1295, 2016

Hsiu-Chuan Wei - (email)

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13

Stochastic epidemic models driven by stochastic algorithms with constant step

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 721 - 736, 2015

Lifeng Chen - (email), Jifa Jiang - (email)

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14

Homotopy invariants methods in the global dynamics of strongly damped wave equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 6, Pages : 3227 - 3250, 2015

Piotr Kokocki - (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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16

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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17

Optimal control and stability analysis of an epidemic model with education campaign and treatment

DCDS Supplements  Volume 2015, Issue special, Pages : 621 - 634, 2015

Sanjukta Hota - (email), Folashade Agusto - (email), Hem Raj Joshi - (email), Suzanne Lenhart - (email)

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18

Stefan problem, traveling fronts, and epidemic spread

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 417 - 436, 2015

Karl P. Hadeler - (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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20

Annihilation of two interfaces in a hybrid system

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 857 - 869, 2015

Shin-Ichiro Ei - (email), Kei Nishi - (email), Yasumasa Nishiura - (email), Takashi Teramoto - (email)

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21

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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22

Codimension 3 B-T bifurcations in an epidemic model with a nonlinear incidence

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 4, Pages : 1107 - 1116, 2015

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

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Mode structure of a semiconductor laser with feedback from two external filters

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 519 - 586, 2015

Piotr Słowiński - (email), Bernd Krauskopf - (email), Sebastian Wieczorek - (email)

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24

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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Steplength thresholds for invariance preserving of discretization methods of dynamical systems on a polyhedron

Discrete and Continuous Dynamical Systems  Volume 35, Issue 7, Pages : 2997 - 3013, 2015

Zoltán Horváth - (email), Yunfei Song - (email), Tamás Terlaky - (email)

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Interaction of media and disease dynamics and its impact on emerging infection management

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 215 - 230, 2014

Qin Wang - (email), Laijun Zhao - (email), Rongbing Huang - (email), Youping Yang - (email), Jianhong Wu - (email)

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27

Bifurcation diagrams and multiplicity for nonlocal elliptic equations modeling gravitating systems based on Fermi--Dirac statistics

Discrete and Continuous Dynamical Systems  Volume 35, Issue 1, Pages : 139 - 154, 2014

Jean Dolbeault - (email), Robert Stańczy - (email)

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Stability and bifurcation analysis of epidemic models with saturated incidence rates: An application to a nonmonotone incidence rate

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 785 - 805, 2014

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

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29

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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30

Rank as a function of measure

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2741 - 2750, 2013

Tomasz Downarowicz - (email), Yonatan Gutman - (email), Dawid Huczek - (email)

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31

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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32

Steady state analysis for a relaxed cross diffusion model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 613 - 633, 2013

Thomas Lepoutre - (email), Salomé Martínez - (email)

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33

A mathematical model for control of vector borne diseases through media campaigns

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 7, Pages : 1909 - 1927, 2013

A. K. Misra - (email), Anupama Sharma - (email), Jia Li - (email)

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34

Periodic points and periods for operators on hilbert space

Discrete and Continuous Dynamical Systems  Volume 33, Issue 9, Pages : 4233 - 4237, 2013

P. Chiranjeevi - (email), V. Kannan - (email), Sharan Gopal - (email)

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35

The explicit nonlinear wave solutions of the generalized $b$-equation

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1029 - 1047, 2012

Liu Rui - (email)

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36

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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37

The impact of school closures on pandemic influenza: Assessing potential repercussions using a seasonal SIR model

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 413 - 430, 2012

Sherry Towers - (email), Katia Vogt Geisse - (email), Chia-Chun Tsai - (email), Qing Han - (email), Zhilan Feng - (email)

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38

Continued fractions, Cantor sets, Hausdorff dimension, and transfer operators and their analytic extension

Discrete and Continuous Dynamical Systems  Volume 32, Issue 7, Pages : 2417 - 2436, 2012

Doug Hensley - (email)

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39

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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40

Drawing the output of dynamical systems by juxtaposing local outputs

DCDS Supplements  Volume 2011, Issue Special, Pages : 145 - 154, 2011

Farida Benmakrouha - (email), Christiane Hespel - (email), Edouard Monnier - (email)

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41

An SEIR epidemic model with constant latency time and infectious period

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 931 - 952, 2011

Edoardo Beretta - (email), Dimitri Breda - (email)

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42

Optimal nutritional intake for fetal growth

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 723 - 732, 2011

Chanakarn Kiataramkul - (email), Graeme Wake - (email), Alona Ben-Tal - (email), Yongwimon Lenbury - (email)

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43

Stability analysis and application of a mathematical cholera model

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 733 - 752, 2011

Shu Liao - (email), Jin Wang - (email)

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44

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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45

Converting a general 3-D autonomous quadratic system to an extended Lorenz-type system

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 475 - 488, 2011

Cuncai Hua - (email), Guanrong Chen - (email), Qunhong Li - (email), Juhong Ge - (email)

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46

Bifurcation analysis of bursting solutions of two Hindmarsh-Rose neurons with joint electrical and synaptic coupling

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 637 - 651, 2011

Feng Zhang - (email), Wei Zhang - (email), Pan Meng - (email), Jianzhong Su - (email)

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47

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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48

Topology and dynamics of boolean networks with strong inhibition

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1565 - 1575, 2010

Yongwu Rong - (email), Chen Zeng - (email), Christina Evans - (email), Hao Chen - (email), Guanyu Wang - (email)

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49

Dynamics and abstract computability: Computing invariant measures

Discrete and Continuous Dynamical Systems  Volume 29, Issue 1, Pages : 193 - 212, 2010

Stefano Galatolo - (email), Mathieu Hoyrup - (email), Cristóbal Rojas - (email)

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50

The vortex core structure inside spherical ferromagnetic particles

Discrete and Continuous Dynamical Systems  Volume 27, Issue 4, Pages : 1259 - 1282, 2010

François Alouges - (email), Sylvain Faure - (email), Jutta Steiner - (email)

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51

Dynamics of an SIS reaction-diffusion epidemic model for disease transmission

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 51 - 66, 2010

Wenzhang Huang - (email), Maoan Han - (email), Kaiyu Liu - (email)

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52

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)

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A model for transmission of partial resistance to anti-malarial drugs

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 649 - 661, 2009

Hengki Tasman - (email), Edy Soewono - (email), Kuntjoro Adji Sidarto - (email), Din Syafruddin - (email), William Oscar Rogers - (email)

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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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Modeling the effect of information campaigns on the HIV epidemic in Uganda

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 757 - 770, 2008

Hem Joshi - (email), Suzanne Lenhart - (email), Kendra Albright - (email), Kevin Gipson - (email)

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Model analysis of a simple aquatic ecosystems with sublethal toxic effects

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 771 - 787, 2008

B. W. Kooi - (email), D. Bontje - (email), M. Liebig - (email)

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Existence of multiple-stable equilibria for a multi-drug-resistant model of mycobacterium tuberculosis

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 437 - 455, 2008

Abba B. Gumel - (email), Baojun Song - (email)

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Stabilization due to predator interference: comparison of different analysis approaches

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 567 - 583, 2008

G.A.K. van Voorn - (email), D. Stiefs - (email), T. Gross - (email), B. W. Kooi - (email), Ulrike Feudel - (email), S.A.L.M. Kooijman - (email)

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Finite rank approximations of expanding maps with neutral singularities

Discrete and Continuous Dynamical Systems  Volume 21, Issue 3, Pages : 749 - 762, 2008

Michael Blank - (email)

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Global stability analysis for SEIS models with n latent classes

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 20 - 33, 2008

Napoleon Bame - (email), Samuel Bowong - (email), Josepha Mbang - (email), Gauthier Sallet - (email), Jean-Jules Tewa - (email)

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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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Optimization and dynamics of gene-environment networks with intervals

Journal of Industrial and Management Optimization  Volume 3, Issue 2, Pages : 357 - 379, 2007

Ö. Uğur - (email), G. W. Weber - (email)

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Complex dynamics of a simple epidemic model with a nonlinear incidence

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 161 - 173, 2007

Jianquan Li - (email), Yicang Zhou - (email), Jianhong Wu - (email), Zhien Ma - (email)

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Delay differential equations via the matrix lambert w function and bifurcation analysis: application to machine tool chatter

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 355 - 368, 2007

Sun Yi - (email), Patrick W. Nelson - (email), A. Galip Ulsoy - (email)

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Stochastic epidemic models with a backward bifurcation

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 445 - 458, 2006

Linda J. S. Allen - (email), P. van den Driessche - (email)

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A note on epidemic models with infective immigrants and vaccination

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 557 - 566, 2006

Eunha Shim - (email)

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Bifurcation analysis to Rayleigh-Bénard convection in finite box with up-down symmetry

Communications on Pure and Applied Analysis  Volume 5, Issue 2, Pages : 383 - 393, 2006

Toshiyuki Ogawa - (email)

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The effect of global travel on the spread of SARS

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 205 - 218, 2005

Shigui Ruan - (email), Wendi Wang - (email), Simon A. Levin - (email)

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A model for disease transmission in a patchy environment

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 1, Pages : 185 - 202, 2005

Mahin Salmani - (email), P. van den Driessche - (email)

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70

Topological method for rigorously computing periodic orbits using Fourier modes

Discrete and Continuous Dynamical Systems  Volume 13, Issue 4, Pages : 901 - 920, 2005

Anthony W. Baker - (email), Michael Dellnitz - (email), Oliver Junge - (email)

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Fisher waves in an epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 4, Pages : 1117 - 1128, 2004

Xiao-Qiang Zhao - (email), Wendi Wang - (email)

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Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 671 - 678, 2004

Wanbiao Ma - (email), Yasuhiro Takeuchi - (email)

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Population dispersal and disease spread

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 797 - 804, 2004

Wendi Wang - (email)

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An epidemiology model that includes a leaky vaccine with a general waning function

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 2, Pages : 479 - 495, 2004

Julien Arino - (email), K.L. Cooke - (email), P. van den Driessche - (email), J. Velasco-Hernández - (email)

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Noncommutative dynamical systems with two generators and their applications in analysis

Discrete and Continuous Dynamical Systems  Volume 9, Issue 6, Pages : 1411 - 1422, 2003

Boris Paneah - (email)

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Wright type delay differential equations with negative Schwarzian

Discrete and Continuous Dynamical Systems  Volume 9, Issue 2, Pages : 309 - 321, 2002

Eduardo Liz - (email), Manuel Pinto - (email), Gonzalo Robledo - (email), Sergei Trofimchuk - (email), Victor Tkachenko - (email)

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Global stability for differential equations with homogeneous nonlinearity and application to population dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 4, Pages : 541 - 560, 2002

Pierre Magal - (email)

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Large optimal truncated low-dimensional dynamical systems

Discrete and Continuous Dynamical Systems  Volume 2, Issue 4, Pages : 559 - 583, 1996

Chui-Jie Wu - (email)

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Estimates on the dimension of an attractor for a nonclassical hyperbolic equation

Electronic Research Announcements of the AMS  Volume 12, Issue 0, Pages : 63 - 70,

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