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Sharp interface limit in a phase field model of cell motility

Networks and Heterogeneous Media  Volume 12, Issue 4, Pages : 551 - 590, 2017

Leonid Berlyand - (email), Mykhailo Potomkin - (email), Volodymyr Rybalko - (email)

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Traveling wave solutions of a reaction-diffusion predator-prey model

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1063 - 1078, 2017

Jiang Liu - (email), Xiaohui Shang - (email), Zengji Du - (email)

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Ebola model and optimal control with vaccination constraints

Journal of Industrial and Management Optimization  Volume 13, Issue 2, Pages : 54 - 54, 2017

Iván Area - (email), Faïçal Ndaïrou - (email), Juan J. Nieto - (email), Cristiana J. Silva - (email), Delfim F. M. Torres - (email)

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An exact approach to calibrating infectious disease models to surveillance data: The case of HIV and HSV-2

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : 153 - 179, 2017

David J. Gerberry - (email)

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Three-level global resource allocation model for hiv control: A hierarchical decision system approach

Mathematical Biosciences and Engineering  Volume 15, Issue 1, Pages : 255 - 273, 2017

Semu Mitiku Kassa - (email)

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A bacteriophage model based on CRISPR/Cas immune system in a chemostat

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1361 - 1377, 2017

Mengshi Shu - (email), Rui Fu - (email), Wendi Wang - (email)

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Traveling waves in a three species competition-cooperation system

Communications on Pure and Applied Analysis  Volume 16, Issue 4, Pages : 1103 - 1119, 2017

Xiaojie Hou - (email), Yi Li - (email)

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Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2813 - 2827, 2017

Chin-Chin Wu - (email)

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Traveling wave solutions for a one dimensional model Of cell-to-cell adhesion and diffusion with monostable reaction term

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 3, Pages : 395 - 412, 2017

Lianzhang Bao - (email), Zhengfang Zhou - (email)

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Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 895 - 911, 2017

Chengxia Lei - (email), Yihong Du - (email)

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Optimisation modelling of cancer growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 1, Pages : 115 - 123, 2016

Tiffany A. Jones - (email), Lou Caccetta - (email), Volker Rehbock - (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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13

On the mathematical modelling of cellular (discontinuous) precipitation

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 963 - 982, 2016

Oliver Penrose - (email)

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Emergence of spatial patterns in a mathematical model for the co-culture dynamics of epithelial-like and mesenchymal-like cells

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 79 - 93, 2016

Marcello Delitala - (email), Tommaso Lorenzi - (email)

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Altruistic aging: The evolutionary dynamics balancing longevity and evolvability

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 455 - 465, 2016

Minette Herrera - (email), Aaron Miller - (email), Joel Nishimura - (email)

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16

Modelling chemistry and biology after implantation of a drug-eluting stent. Part I: Drug transport

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 491 - 509, 2016

Tuoi Vo - (email), William Lee - (email), Adam Peddle - (email), Martin Meere - (email)

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On the symmetry of spatially periodic two-dimensional water waves

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 7057 - 7061, 2016

Florian Kogelbauer - (email)

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Immune response in virus model structured by cell infection-age

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

Cameron Browne - (email)

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Mathematical analysis of an in-host model of viral dynamics with spatial heterogeneity

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 4, Pages : 1237 - 1257, 2016

Stephen Pankavich - (email), Christian Parkinson - (email)

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Stability of interacting traveling waves in reaction-convection-diffusion systems

DCDS Supplements  Volume 2015, Issue special, Pages : 258 - 266, 2015

Grigori Chapiro - (email), Lucas Furtado - (email), Dan Marchesin - (email), Stephen Schecter - (email)

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21

Reduction of a kinetic model of active export of importins

DCDS Supplements  Volume 2015, Issue special, Pages : 705 - 722, 2015

Sarbaz H. A. Khoshnaw - (email)

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An in-host model of HIV incorporating latent infection and viral mutation

DCDS Supplements  Volume 2015, Issue special, Pages : 913 - 922, 2015

Stephen Pankavich - (email), Deborah Shutt - (email)

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Modelling HIV superinfection among men who have sex with men

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

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Multidimensional stability of planar traveling waves for the scalar nonlocal Allen-Cahn equation

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2473 - 2496, 2015

Grégory Faye - (email)

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Order reduction for an RNA virus evolution model

Mathematical Biosciences and Engineering  Volume 12, Issue 5, Pages : 1007 - 1016, 2015

Andrei Korobeinikov - (email), Aleksei Archibasov - (email), Vladimir Sobolev - (email)

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The evolutionary dynamics of a population model with a strong Allee effect

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 643 - 660, 2015

Jim M. Cushing - (email)

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An age-structured model for the coupled dynamics of HIV and HSV-2

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 803 - 840, 2015

Georgi Kapitanov - (email), Christina Alvey - (email), Katia Vogt-Geisse - (email), Zhilan Feng - (email)

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Global stability of a multiple delayed viral infection model with general incidence rate and an application to HIV infection

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 525 - 536, 2015

Yu Ji - (email)

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A double age-structured model of the co-infection of tuberculosis and HIV

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 23 - 40, 2014

Georgi Kapitanov - (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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Traveling waves of a mutualistic model of mistletoes and birds

Discrete and Continuous Dynamical Systems  Volume 35, Issue 4, Pages : 1743 - 1765, 2014

Chuncheng Wang - (email), Rongsong Liu - (email), Junping Shi - (email), Carlos Martinez del Rio - (email)

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Optimal migratory behavior in spatially-explicit seasonal environments

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 10, Pages : 3359 - 3378, 2014

Timothy C. Reluga - (email), Allison K. Shaw - (email)

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A survey of migration-selection models in population genetics

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 883 - 959, 2014

Reinhard Bürger - (email)

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34

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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35

Steady-states and traveling-wave solutions of the generalized Constantin--Lax--Majda equation

Discrete and Continuous Dynamical Systems  Volume 34, Issue 8, Pages : 3155 - 3170, 2014

Hisashi Okamoto - (email), Takashi Sakajo - (email), Marcus Wunsch - (email)

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36

Constructing set-valued fundamental diagrams from Jamiton solutions in second order traffic models

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 745 - 772, 2013

Benjamin Seibold - (email), Morris R. Flynn - (email), Aslan R. Kasimov - (email), Rodolfo R. Rosales - (email)

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37

Reaction-diffusion-advection models for the effects and evolution of dispersal

Discrete and Continuous Dynamical Systems  Volume 34, Issue 5, Pages : 1701 - 1745, 2013

Chris Cosner - (email)

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38

Spreading speed and traveling waves for a two-species weak competition system with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2441 - 2455, 2013

Chang-Hong Wu - (email)

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39

Existence and linear stability of solutions of the ballistic VSC model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 1, Pages : 35 - 51, 2013

Joost Hulshof - (email), Robert Nolet - (email), Georg Prokert - (email)

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40

A relaxation method for one dimensional traveling waves of singular and nonlocal equations

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 5, Pages : 1459 - 1491, 2013

Weiran Sun - (email), Min Tang - (email)

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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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42

Two-dimensional stability analysis in a HIV model with quadratic logistic growth term

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1813 - 1844, 2013

Claude-Michel Brauner - (email), Xinyue Fan - (email), Luca Lorenzi - (email)

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43

Explicit upper and lower bounds for the traveling wave solutions of Fisher-Kolmogorov type equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 8, Pages : 3567 - 3582, 2013

Armengol Gasull - (email), Hector Giacomini - (email), Joan Torregrosa - (email)

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44

A Lattice model on somitogenesis of zebrafish

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2789 - 2814, 2012

Kang-Ling Liao - (email), Chih-Wen Shih - (email)

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45

Spreading speeds and traveling waves for non-cooperative integro-difference systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2243 - 2266, 2012

Haiyan Wang - (email), Carlos Castillo-Chavez - (email)

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46

Effect of branchings on blood flow in the system of human coronary arteries

Mathematical Biosciences and Engineering  Volume 9, Issue 1, Pages : 199 - 214, 2011

Benchawan Wiwatanapataphee - (email), Yong Hong Wu - (email), Thanongchai Siriapisith - (email), Buraskorn Nuntadilok - (email)

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47

Multi-dimensional traveling fronts in bistable reaction-diffusion equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 3, Pages : 1011 - 1046, 2011

Masaharu Taniguchi - (email)

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48

Traveling wave solution for a lattice dynamical system with convolution type nonlinearity

Discrete and Continuous Dynamical Systems  Volume 32, Issue 1, Pages : 101 - 124, 2011

Jong-Shenq Guo - (email), Ying-Chih Lin - (email)

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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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Stability of traveling waves for systems of nonlinear integral recursions in spatial population biology

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 895 - 925, 2011

Judith R. Miller - (email), Huihui Zeng - (email)

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Existence of traveling wavefront for discrete bistable competition model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 973 - 984, 2011

Chin-Chin Wu - (email)

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Persistence and emergence of X4 virus in HIV infection

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 605 - 626, 2011

Ariel D. Weinberger - (email), Alan S. Perelson - (email)

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Traveling waves in Fermi-Pasta-Ulam lattices with saturable nonlinearities

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 835 - 849, 2011

Alexander Pankov - (email), Vassilis M. Rothos - (email)

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Existence and uniqueness of traveling waves in a class of unidirectional lattice differential equations

Discrete and Continuous Dynamical Systems  Volume 30, Issue 1, Pages : 137 - 167, 2011

Aaron Hoffman - (email), Benjamin Kennedy - (email)

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Traveling waves and their stability in a coupled reaction diffusion system

Communications on Pure and Applied Analysis  Volume 10, Issue 1, Pages : 141 - 160, 2010

Xiaojie Hou - (email), Wei Feng - (email)

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Traveling wave solutions for Lotka-Volterra system re-visited

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 171 - 196, 2010

Anthony W. Leung - (email), Xiaojie Hou - (email), Wei Feng - (email)

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A mathematical study of a syntrophic relationship of a model of anaerobic digestion process

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 641 - 656, 2010

Miled El Hajji - (email), Frédéric Mazenc - (email), Jérôme Harmand - (email)

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A comparison of nonlinear filtering approaches in the context of an HIV model

Mathematical Biosciences and Engineering  Volume 7, Issue 2, Pages : 213 - 236, 2010

H. Thomas Banks - (email), Shuhua Hu - (email), Zackary R. Kenz - (email), Hien T. Tran - (email)

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Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a two-dimensional spatial lattice

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 3, Pages : 559 - 575, 2010

Cui-Ping Cheng - (email), Wan-Tong Li - (email), Zhi-Cheng Wang - (email)

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A model of sympatric speciation through reinforcement

Kinetic and Related Models  Volume 3, Issue 1, Pages : 143 - 163, 2010

Johan Henriksson - (email), Torbjörn Lundh - (email), Bernt Wennberg - (email)

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Front propagation for a two-dimensional periodic monostable lattice dynamical system

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 197 - 223, 2009

Jong-Shenq Guo - (email), Chang-Hong Wu - (email)

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Traveling wave solutions for a reaction diffusion equation with double degenerate nonlinearities

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 265 - 290, 2009

Xiaojie Hou - (email), Yi Li - (email), Kenneth R. Meyer - (email)

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Modeling TB and HIV co-infections

Mathematical Biosciences and Engineering  Volume 6, Issue 4, Pages : 815 - 837, 2009

Lih-Ing W. Roeger - (email), Z. Feng - (email), Carlos Castillo-Chávez - (email)

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64

Dependence of propagation speed on invader species: The effect of the predatory commensalism in two-prey, one-predator system with diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 4, Pages : 797 - 825, 2009

Sungrim Seirin Lee - (email)

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Mathematical modelling of internal HIV dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 2, Pages : 305 - 321, 2009

Nirav Dalal - (email), David Greenhalgh - (email), Xuerong Mao - (email)

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Some remarks on traveling wave solutions in competition models

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 2, Pages : 389 - 399, 2009

Bingtuan Li - (email)

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Novel design of drug delivery in stented arteries: A numerical comparative study

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 493 - 508, 2009

Mario Grassi - (email), Giuseppe Pontrelli - (email), Luciano Teresi - (email), Gabriele Grassi - (email), Lorenzo Comel - (email), Alessio Ferluga - (email), Luigi Galasso - (email)

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Spatial spread of sexually transmitted diseases within susceptible populations at demographic steady state

Mathematical Biosciences and Engineering  Volume 5, Issue 4, Pages : 713 - 727, 2008

Carlos Castillo-Chavez - (email), Bingtuan Li - (email)

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Modelling the immunopathogenesis of HIV-1 infection and the effect of multidrug therapy: The role of fusion inhibitors in HAART

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 485 - 504, 2008

Gesham Magombedze - (email), Winston Garira - (email), Eddie Mwenje - (email)

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Traveling waves to a reaction-diffusion equation

DCDS Supplements  Volume 2007, Issue Special, Pages : 382 - 390, 2007

Zhaosheng Feng - (email)

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71

On the basic reproduction number $R_0$ in sexual activity models for HIV/AIDS epidemics: Example from Yunnan, China

Mathematical Biosciences and Engineering  Volume 4, Issue 4, Pages : 595 - 607, 2007

Nicolas Bacaër - (email), Xamxinur Abdurahman - (email), Jianli Ye - (email), Pierre Auger - (email)

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

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

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

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Approximate solution of the Burgers-Korteweg-de Vries equation

Communications on Pure and Applied Analysis  Volume 6, Issue 2, Pages : 429 - 440, 2007

Zhaosheng Feng - (email), Yu Huang - (email)

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Exogenous control of vascular network formation in vitro: a mathematical model

Networks and Heterogeneous Media  Volume 1, Issue 4, Pages : 621 - 637, 2006

V. Lanza - (email), D. Ambrosi - (email), L. Preziosi - (email)

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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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Simulation of Pulsatile Flow of Blood in Stenosed Coronary Artery Bypass with Graft

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 371 - 383, 2006

B. Wiwatanapataphee - (email), D. Poltem - (email), Yong Hong Wu - (email), Y. Lenbury - (email)

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Use Of A Periodic Vaccination Strategy To Control The Spread Of Epidemics With Seasonally Varying Contact Rate

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 591 - 611, 2005

Islam A. Moneim - (email), David Greenhalgh - (email)

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Structure of a class of traveling waves in delayed cellular neural networks

Discrete and Continuous Dynamical Systems  Volume 13, Issue 2, Pages : 339 - 359, 2005

Cheng-Hsiung Hsu - (email), Suh-Yuh Yang - (email)

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Two-Species Competition with High Dispersal: The Winning Strategy

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 345 - 362, 2005

S.A. Gourley - (email), Yang Kuang - (email)

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Dynamical Models of Tuberculosis and Their Applications

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 361 - 404, 2004

Carlos Castillo-Chavez - (email), Baojun Song - (email)

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An Age-Structured Model of HIV Infection that Allows for Variations in the Production Rate of Viral Particles and the Death Rate of Productively Infected Cells

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 267 - 288, 2004

Patrick W. Nelson - (email), Michael A. Gilchrist - (email), Daniel Coombs - (email), James M. Hyman - (email), Alan S. Perelson - (email)

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A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium

Discrete and Continuous Dynamical Systems  Volume 10, Issue 4, Pages : 925 - 940, 2004

Jonathan E. Rubin - (email)

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Travelling waves for solid-gas reaction-diffusion systems

DCDS Supplements  Volume 2003, Issue Special, Pages : 872 - 879, 2003

C. van der Mee - (email), Stella Vernier Piro - (email)

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Traveling waves for a diffusive Lotka-Volterra competition model I: singular perturbations

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 1, Pages : 79 - 95, 2002

Yuzo Hosono - (email)

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Existence of semi-discrete shocks

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 163 - 190, 2001

Sylvie Benzoni-Gavage - (email), Pierre Huot - (email)

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Mutation, selection, and recombination in a model of phenotype evolution

Discrete and Continuous Dynamical Systems  Volume 6, Issue 1, Pages : 221 - 236, 1999

P. Magal - (email), G. F. Webb - (email)

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