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Stability analysis on an economic epidemiological model with vaccination

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 7 - 7, 2017

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

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Dynamics of a nonlocal SIS epidemic model with free boundary

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 247 - 266, 2016

Jia-Feng Cao - (email), Wan-Tong Li - (email), Fei-Ying Yang - (email)

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3

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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4

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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5

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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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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On the homogenization of multicomponent transport

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 8, Pages : 2527 - 2551, 2015

Grégoire Allaire - (email), Harsha Hutridurga - (email)

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8

Spatial population dynamics in a producer-scrounger model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1591 - 1607, 2015

Chris Cosner - (email), Andrew L. Nevai - (email)

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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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10

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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11

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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12

Feedback control of nonlinear dissipative systems by finite determining parameters - A reaction-diffusion paradigm

Evolution Equations and Control Theory  Volume 3, Issue 4, Pages : 579 - 594, 2014

Abderrahim Azouani - (email), Edriss S. Titi - (email)

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13

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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14

The stability of steady-state hot-spot patterns for a reaction-diffusion model of urban crime

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 5, Pages : 1373 - 1410, 2014

Theodore Kolokolnikov - (email), Michael J. Ward - (email), Juncheng Wei - (email)

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15

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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Traveling spots and traveling fingers in singular limit problems of reaction-diffusion systems

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 697 - 714, 2014

Yan-Yu Chen - (email), Yoshihito Kohsaka - (email), Hirokazu Ninomiya - (email)

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17

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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18

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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19

Traveling fronts guided by the environment for reaction-diffusion equations

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 79 - 114, 2013

Henri Berestycki - (email), Guillemette Chapuisat - (email)

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20

Wavespeed selection in the heterogeneous Fisher equation: Slowly varying inhomogeneity

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 343 - 378, 2013

John R. King - (email)

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21

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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22

Modeling of the kinetics of vitamin D$_3$ in osteoblastic cells

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 319 - 344, 2013

Robert P. Gilbert - (email), Philippe Guyenne - (email), Ying Liu - (email)

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23

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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A vector-bias malaria model with incubation period and diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2615 - 2634, 2012

Zhiting Xu - (email), Xiao-Qiang Zhao - (email)

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On the dependence of population size upon random dispersal rate

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2771 - 2788, 2012

Song Liang - (email), Yuan Lou - (email)

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Evolution of mixed dispersal in periodic environments

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 2047 - 2072, 2012

Chiu-Yen Kao - (email), Yuan Lou - (email), Wenxian Shen - (email)

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27

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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28

Optimal control of advective direction in reaction-diffusion population models

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 81 - 107, 2012

Heather Finotti - (email), Suzanne Lenhart - (email), Tuoc Van Phan - (email)

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29

Macrotransport in nonlinear, reactive, shear flows

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2125 - 2146, 2012

Eric S. Wright - (email)

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30

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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31

Wavelet analysis of phase clusters in a distributed biochemical system

DCDS Supplements  Volume 2011, Issue Special, Pages : 1404 - 1412, 2011

Andrey Yu. Verisokin - (email), Darya V. Verveyko - (email), Eugene B. Postnikov - (email), Anastasia I. Lavrova - (email)

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32

Demography in epidemics modelling

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 61 - 82, 2011

Jacques Demongeot - (email), Jean Gaudart - (email), Julie Mintsa - (email), Mustapha Rachdi - (email)

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33

Uniqueness from pointwise observations in a multi-parameter inverse problem

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 173 - 188, 2011

Michel Cristofol - (email), Jimmy Garnier - (email), François Hamel - (email), Lionel Roques - (email)

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34

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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35

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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36

A central limit theorem for pulled fronts in a random medium

Networks and Heterogeneous Media  Volume 6, Issue 2, Pages : 167 - 194, 2011

James Nolen - (email)

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37

Approximating the large time asymptotic reaction zone solution for fractional order kinetics $A^n B^m$

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 1, Pages : 219 - 234, 2011

Philip M. J. Trevelyan - (email)

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38

Multiple stable steady states of a reaction-diffusion model on zebrafish dorsal-ventral patterning

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1413 - 1428, 2010

Wenrui Hao - (email), Jonathan D. Hauenstein - (email), Bei Hu - (email), Yuan Liu - (email), Andrew J. Sommese - (email), Yong-Tao Zhang - (email)

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39

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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40

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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41

Stationary patterns for an adsorbate-induced phase transition model I: Existence

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1105 - 1117, 2010

Kousuke Kuto - (email), Tohru Tsujikawa - (email)

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42

Random dispersal vs. non-local dispersal

Discrete and Continuous Dynamical Systems  Volume 26, Issue 2, Pages : 551 - 596, 2009

Chiu-Yen Kao - (email), Yuan Lou - (email), Wenxian Shen - (email)

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43

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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44

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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45

Interface conditions for a singular reaction-diffusion system

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 3, Pages : 631 - 643, 2009

Thomas I. Seidman - (email)

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46

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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47

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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48

Entropy methods for reaction-diffusion systems

DCDS Supplements  Volume 2007, Issue Special, Pages : 304 - 312, 2007

Laurent Desvillettes - (email), Klemens Fellner - (email)

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Turing patterns on growing spheres: the exponential case

DCDS Supplements  Volume 2007, Issue Special, Pages : 436 - 445, 2007

Julijana Gjorgjieva - (email), Jon Jacobsen - (email)

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50

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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The stability of stationary fronts for a discrete nerve axon model

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 113 - 129, 2006

Christopher E. Elmer - (email)

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Dirichlet boundary conditions can prevent blow-up in reaction-diffusion equations and systems

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 63 - 74, 2005

Marek Fila - (email), Hirokazu Ninomiya - (email), Juan-Luis Vázquez - (email)

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Fitzhugh-Nagumo equations in a nonhomogeneous medium

DCDS Supplements  Volume 2005, Issue Special, Pages : 216 - 224, 2005

Arnold Dikansky - (email)

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54

Transition layers and spikes for a reaction-diffusion equation with bistable nonlinearity

DCDS Supplements  Volume 2005, Issue Special, Pages : 868 - 877, 2005

Michio Urano - (email), Kimie Nakashima - (email), Yoshio Yamada - (email)

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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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A reaction-diffusion system modeling the spread of resistance to an antimalarial drug

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 227 - 238, 2005

Nicolas Bacaër - (email), Cheikh Sokhna - (email)

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A Simple Epidemic Model with Surprising Dynamics

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 133 - 152, 2004

F. Berezovskaya - (email), G. Karev - (email), Baojun Song - (email), Carlos Castillo-Chavez - (email)

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58

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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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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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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61

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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