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Wave breaking and persistent decay of solution to a shallow water wave equation

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 6, Pages : 2149 - 2165, 2016

Xue Yang - (email), Xinglong Wu - (email)

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Traveling waves in an SEIR epidemic model with the variable total population

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3723 - 3742, 2016

Zhiting Xu - (email)

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A non-local bistable reaction-diffusion equation with a gap

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 685 - 723, 2016

Henri Berestycki - (email), Nancy Rodríguez - (email)

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Competition with high number of agents and a major one

Journal of Dynamics and Games  Volume 3, Issue 4, Pages : 319 - 334, 2016

Valeria De Mattei - (email)

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Modeling and control of local outbreaks of West Nile virus in the United States

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2423 - 2449, 2016

Jing Chen - (email), Jicai Huang - (email), John C. Beier - (email), Robert Stephen Cantrell - (email), Chris Cosner - (email), Douglas O. Fuller - (email), Guoyan Zhang - (email), Shigui Ruan - (email)

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6

Bounded traveling wave solutions for MKdV-Burgers equation with the negative dispersive coefficient

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2883 - 2903, 2016

Weiguo Zhang - (email), Yujiao Sun - (email), Zhengming Li - (email), Shengbing Pei - (email), Xiang Li - (email)

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The shape derivative for an optimization problem in lithotripsy

Evolution Equations and Control Theory  Volume 5, Issue 3, Pages : 399 - 430, 2016

Barbara Kaltenbacher - (email), Gunther Peichl - (email)

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Adjoint sensitivity analysis of a tumor growth model and its application to spatiotemporal radiotherapy optimization

Mathematical Biosciences and Engineering  Volume 13, Issue 6, Pages : 1131 - 1142, 2016

Krzysztof Fujarewicz - (email), Krzysztof Łakomiec - (email)

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A nonlocal sample dependence SDE-PDE system modeling proton dynamics in a tumor

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 7, Pages : 2233 - 2254, 2016

Peter E. Kloeden - (email), Stefanie Sonner - (email), Christina Surulescu - (email)

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Development of a computational model of glucose toxicity in the progression of diabetes mellitus

Mathematical Biosciences and Engineering  Volume 13, Issue 5, Pages : 1043 - 1058, 2016

Danilo T. Pérez-Rivera - (email), Verónica L. Torres-Torres - (email), Abraham E. Torres-Colón - (email), Mayteé Cruz-Aponte - (email)

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Traveling waves for a diffusive SEIR epidemic model

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 871 - 892, 2016

Zhiting Xu - (email)

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On a hyperbolic Keller-Segel system with degenerate nonlinear fractional diffusion

Networks and Heterogeneous Media  Volume 11, Issue 1, Pages : 181 - 201, 2016

Kenneth H. Karlsen - (email), Süleyman Ulusoy - (email)

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Mathematics of nonlinear acoustics

Evolution Equations and Control Theory  Volume 4, Issue 4, Pages : 447 - 491, 2015

Barbara Kaltenbacher - (email)

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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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A model of malignant gliomas throug symmetry reductions

DCDS Supplements  Volume 2015, Issue special, Pages : 974 - 980, 2015

María Rosa - (email), María S. Bruzón - (email), M. L. Gandarias - (email)

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16

On the Cauchy problem of a three-component Camassa--Holm equations

Discrete and Continuous Dynamical Systems  Volume 36, Issue 5, Pages : 2827 - 2854, 2015

Xinglong Wu - (email)

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Pseudo-polynomial time algorithms for combinatorial food mixture packing problems

Journal of Industrial and Management Optimization  Volume 12, Issue 3, Pages : 1057 - 1073, 2015

Shinji Imahori - (email), Yoshiyuki Karuno - (email), Kenju Tateishi - (email)

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Quantitative analysis of time delays of glucose - insulin dynamics using artificial pancreas

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 3115 - 3129, 2015

Saloni Rathee - (email), Nilam - (email)

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Integrating release and dispatch policies in production models

Networks and Heterogeneous Media  Volume 10, Issue 3, Pages : 511 - 526, 2015

Dieter Armbruster - (email), Michael Herty - (email), Xinping Wang - (email), Lindu Zhao - (email)

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20

Parameters identification for a model of T cell homeostasis

Mathematical Biosciences and Engineering  Volume 12, Issue 5, Pages : 917 - 936, 2015

Houssein Ayoub - (email), Bedreddine Ainseba - (email), Michel Langlais - (email), Rodolphe Thiébaut - (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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Traveling wave phenomena of a diffusive and vector-bias malaria model

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 923 - 940, 2015

Zhiting Xu - (email), Yiyi Zhang - (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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24

A two or three compartments hyperbolic reaction-diffusion model for the aquatic food chain

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 451 - 472, 2015

Elvira Barbera - (email), Giancarlo Consolo - (email), Giovanna Valenti - (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 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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Paralic confinement computations in coastal environment with interlocked areas

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 1, Pages : 45 - 54, 2014

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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Exact wavefronts and periodic patterns in a competition system with nonlinear diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 6, Pages : 1589 - 1600, 2014

M. Guedda - (email), R. Kersner - (email), M. Klincsik - (email), E. Logak - (email)

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Sensor deployment for pipeline leakage detection via optimal boundary control strategies

Journal of Industrial and Management Optimization  Volume 11, Issue 1, Pages : 199 - 216, 2014

Chao Xu - (email), Yimeng Dong - (email), Zhigang Ren - (email), Huachen Jiang - (email), Xin Yu - (email)

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Mathematical modeling of Glassy-winged sharpshooter population

Mathematical Biosciences and Engineering  Volume 11, Issue 3, Pages : 667 - 677, 2014

Jeong-Mi Yoon - (email), Volodymyr Hrynkiv - (email), Lisa Morano - (email), Anh Tuan Nguyen - (email), Sara Wilder - (email), Forrest Mitchell - (email)

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31

Development of traveling waves in an interacting two-species chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 7, Pages : 2907 - 2927, 2013

Tai-Chia Lin - (email), Zhi-An Wang - (email)

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32

Algebraic characterization of autonomy and controllability of behaviours of spatially invariant systems

Mathematical Control and Related Fields  Volume 4, Issue 1, Pages : 115 - 124, 2013

Amol Sasane - (email)

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Modeling confinement in Étang de Thau: Numerical simulations and multi-scale aspects

DCDS Supplements  Volume 2013, Issue special, Pages : 69 - 76, 2013

Jean-Philippe Bernard - (email), Emmanuel Frénod - (email), Antoine Rousseau - (email)

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34

Fluid-structure interaction with and without internal dissipation of the structure: A contrast study in stability

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 563 - 598, 2013

George Avalos - (email), Roberto Triggiani - (email)

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35

Uniqueness and Hölder type stability of continuation for the linear thermoelasticity system with residual stress

Evolution Equations and Control Theory  Volume 2, Issue 4, Pages : 679 - 693, 2013

Nanhee Kim - (email)

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36

A dynamical two-dimensional traffic model in an anisotropic network

Networks and Heterogeneous Media  Volume 8, Issue 3, Pages : 663 - 684, 2013

Tibye Saumtally - (email), Jean-Patrick Lebacque - (email), Habib Haj-Salem - (email)

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37

The mathematical and theoretical biology institute - a model of mentorship through research

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1351 - 1363, 2013

Erika T. Camacho - (email), Christopher M. Kribs-Zaleta - (email), Stephen Wirkus - (email)

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38

Modeling contact inhibition of growth: Traveling waves

Networks and Heterogeneous Media  Volume 8, Issue 1, Pages : 131 - 147, 2013

Michiel Bertsch - (email), Masayasu Mimura - (email), Tohru Wakasa - (email)

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39

An introduction to migration-selection PDE models

Discrete and Continuous Dynamical Systems  Volume 33, Issue 10, Pages : 4349 - 4373, 2013

Yuan Lou - (email), Thomas Nagylaki - (email), Wei-Ming Ni - (email)

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40

Rational decay rates for a PDE heat--structure interaction: A frequency domain approach

Evolution Equations and Control Theory  Volume 2, Issue 2, Pages : 233 - 253, 2013

George Avalos - (email), Roberto Triggiani - (email)

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41

Mathematical modeling of regulatory T cell effects on renal cell carcinoma treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 4, Pages : 915 - 943, 2013

Lisette dePillis - (email), Trevor Caldwell - (email), Elizabeth Sarapata - (email), Heather Williams - (email)

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42

A multiple time-scale computational model of a tumor and its micro environment

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 121 - 150, 2012

Christopher DuBois - (email), Jesse Farnham - (email), Eric Aaron - (email), Ami Radunskaya - (email)

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43

Coupling of non-local driving behaviour with fundamental diagrams

Kinetic and Related Models  Volume 5, Issue 4, Pages : 843 - 855, 2012

Michael Herty - (email), Reinhard Illner - (email)

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44

A division-dependent compartmental model for computing cell numbers in CFSE-based lymphocyte proliferation assays

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 699 - 736, 2012

H. Thomas Banks - (email), W. Clayton Thompson - (email), Cristina Peligero - (email), Sandra Giest - (email), Jordi Argilaguet - (email), Andreas Meyerhans - (email)

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45

Lyapunov inequalities for partial differential equations at radial higher eigenvalues

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 111 - 122, 2012

Antonio Cañada - (email), Salvador Villegas - (email)

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46

Local well-posedness of quasi-linear systems generalizing KdV

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 899 - 921, 2012

Timur Akhunov - (email)

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Modeling the effects of introducing a new antibiotic in a hospital setting: A case study

Mathematical Biosciences and Engineering  Volume 9, Issue 3, Pages : 601 - 625, 2012

Michele L. Joyner - (email), Cammey C. Manning - (email), Brandi N. Canter - (email)

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Adaptation of an ecological territorial model to street gang spatial patterns in Los Angeles

Discrete and Continuous Dynamical Systems  Volume 32, Issue 9, Pages : 3223 - 3244, 2012

Laura M. Smith - (email), Andrea L. Bertozzi - (email), P. Jeffrey Brantingham - (email), George E. Tita - (email), Matthew Valasik - (email)

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49

Compactness of discrete approximate solutions to parabolic PDEs - Application to a turbulence model

Communications on Pure and Applied Analysis  Volume 11, Issue 6, Pages : 2371 - 2391, 2012

T. Gallouët - (email), J.-C. Latché - (email)

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50

Carleman estimates for some anisotropic elasticity systems and applications

Evolution Equations and Control Theory  Volume 1, Issue 1, Pages : 141 - 154, 2012

Victor Isakov - (email)

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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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52

Existence of traveling waves with transition layers for some degenerate cross-diffusion systems

Communications on Pure and Applied Analysis  Volume 11, Issue 3, Pages : 911 - 934, 2011

Yanxia Wu - (email), Yaping Wu - (email)

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53

Controlling malaria with indoor residual spraying in spatially heterogenous environments

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 889 - 914, 2011

Mo'tassem Al-Arydah - (email), Robert Smith? - (email)

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Robustness of signaling gradient in drosophila wing imaginal disc

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 835 - 866, 2011

Jinzhi Lei - (email), Frederic Y. M. Wan - (email), Arthur D. Lander - (email), Qing Nie - (email)

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55

Unbounded solutions of the nonlocal heat equation

Communications on Pure and Applied Analysis  Volume 10, Issue 6, Pages : 1663 - 1686, 2011

C. Brändle - (email), E. Chasseigne - (email), Raúl Ferreira - (email)

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56

Nirenberg's contributions to complex analysis

Discrete and Continuous Dynamical Systems  Volume 30, Issue 2, Pages : 537 - 545, 2011

Joseph J Kohn - (email)

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An effective design method to produce stationary chemical reaction-diffusion patterns

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 189 - 207, 2010

Patrick De Kepper - (email), István Szalai - (email)

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A method for analyzing the stability of the resting state for a model of pacemaker cells surrounded by stable cells

Mathematical Biosciences and Engineering  Volume 7, Issue 3, Pages : 505 - 526, 2010

Robert Artebrant - (email), Aslak Tveito - (email), Glenn T. Lines - (email)

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59

Discrete and continuous random water wave dynamics

Discrete and Continuous Dynamical Systems  Volume 28, Issue 4, Pages : 1603 - 1633, 2010

André Nachbin - (email)

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On the regularity of minimizers to degenerate functionals

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1311 - 1318, 2010

P. Di Gironimo - (email), L. D’Onofrio - (email)

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61

Analytical and numerical investigations of refined macroscopic traffic flow models

Kinetic and Related Models  Volume 3, Issue 2, Pages : 311 - 333, 2010

Michael Herty - (email), Reinhard Illner - (email)

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Level set based brain aneurysm capturing in 3D

Inverse Problems and Imaging  Volume 4, Issue 2, Pages : 241 - 255, 2010

Bin Dong - (email), Aichi Chien - (email), Yu Mao - (email), Jian Ye - (email), Fernando Vinuela - (email), Stanley Osher - (email)

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63

Traveling wave fronts in reaction-diffusion systems with spatio-temporal delay and applications

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 3, Pages : 709 - 728, 2010

Zhi-Xian Yu - (email), Rong Yuan - (email)

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A novel model for intersections of vehicular traffic flow

Networks and Heterogeneous Media  Volume 4, Issue 4, Pages : 813 - 826, 2009

Michael Herty - (email), J.-P. Lebacque - (email), S. Moutari - (email)

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Modeling dynamic changes in type 1 diabetes progression: Quantifying $\beta$-cell variation after the appearance of islet-specific autoimmune responses

Mathematical Biosciences and Engineering  Volume 6, Issue 4, Pages : 753 - 778, 2009

Patrick Nelson - (email), Noah Smith - (email), Stanca Ciupe - (email), Weiping Zou - (email), Gilbert S. Omenn - (email), Massimo Pietropaolo - (email)

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Predicting the drug release kinetics of matrix tablets

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 2, Pages : 261 - 277, 2009

Boris Baeumer - (email), Lipika Chatterjee - (email), Peter Hinow - (email), Thomas Rades - (email), Ami Radunskaya - (email), Ian Tucker - (email)

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A spatial model of tumor-host interaction: Application of chemotherapy

Mathematical Biosciences and Engineering  Volume 6, Issue 3, Pages : 521 - 546, 2009

Peter Hinow - (email), Philip Gerlee - (email), Lisa J. McCawley - (email), Vito Quaranta - (email), Madalina Ciobanu - (email), Shizhen Wang - (email), Jason M. Graham - (email), Bruce P. Ayati - (email), Jonathan Claridge - (email), Kristin R. Swanson - (email), Mary Loveless - (email), Alexander R. A. Anderson - (email)

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Global well-posedness and non-linear stability of periodic traveling waves for a Schrödinger-Benjamin-Ono system

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 815 - 844, 2009

Jaime Angulo - (email), Carlos Matheus - (email), Didier Pilod - (email)

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"Traveling wave'' solutions of Fitzhugh model with cross-diffusion

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 239 - 260, 2008

F. Berezovskaya - (email), Erika Camacho - (email), Stephen Wirkus - (email), Georgy Karev - (email)

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The role of feedback in the formation of morphogen territories

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 277 - 298, 2008

David Iron - (email), Adeela Syed - (email), Heidi Theisen - (email), Tamas Lukacsovich - (email), Mehrangiz Naghibi - (email), Lawrence J. Marsh - (email), Frederic Y. M. Wan - (email), Qing Nie - (email)

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Morphogenesis of the tumor patterns

Mathematical Biosciences and Engineering  Volume 5, Issue 2, Pages : 299 - 313, 2008

Elena Izquierdo-Kulich - (email), José Manuel Nieto-Villar - (email)

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Mathematical analysis of a PDE epidemiological model applied to scrapie transmission

Communications on Pure and Applied Analysis  Volume 7, Issue 3, Pages : 659 - 675, 2008

Najat Ziyadi - (email), Said Boulite - (email), M. Lhassan Hbid - (email), Suzanne Touzeau - (email)

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Multiphase modeling and qualitative analysis of the growth of tumor cords

Networks and Heterogeneous Media  Volume 3, Issue 1, Pages : 43 - 83, 2008

Andrea Tosin - (email)

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The effect of the remains of the carcass in a two-prey, one-predator model

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 353 - 374, 2007

Sungrim Seirin Lee - (email), Tsuyoshi Kajiwara - (email)

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An existence result for a P.D.E. with hysteresis, convection and a nonlinear boundary condition

DCDS Supplements  Volume 2007, Issue Special, Pages : 344 - 353, 2007

Michela Eleuteri - (email)

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76

An asymptotic convergence result for a system of partial differential equations with hysteresis

Communications on Pure and Applied Analysis  Volume 6, Issue 4, Pages : 1131 - 1143, 2007

Michela Eleuteri - (email), Pavel Krejčí - (email)

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Traveling wave solutions of a generalized curvature flow equation in the plane

DCDS Supplements  Volume 2007, Issue Special, Pages : 687 - 693, 2007

Bendong Lou - (email)

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78

The changes of air gap in inductive engines as vibration indicator aided by mathematical model and artificial neural network

DCDS Supplements  Volume 2007, Issue Special, Pages : 1005 - 1012, 2007

Boguslaw Twarog - (email), Robert Pekala - (email), Jacek Bartman - (email), Zbigniew Gomolka - (email)

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79

Renormalization group analysis of nonlinear diffusion equations with time dependent coefficients: Analytical results

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 4, Pages : 699 - 715, 2007

G. A. Braga - (email), Frederico Furtado - (email), Jussara M. Moreira - (email), Leonardo T. Rolla - (email)

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Brain anatomical feature detection by solving partial differential equations on general manifolds

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 605 - 618, 2007

Lok Ming Lui - (email), Yalin Wang - (email), Tony F. Chan - (email), Paul M. Thompson - (email)

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Simple climate modeling

Discrete and Continuous Dynamical Systems - Series B  Volume 7, Issue 3, Pages : 651 - 660, 2007

Ka Kit Tung - (email)

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Visualisation of the numerical solution of partial differential equation systems in three space dimensions and its importance for mathematical models in biology

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 571 - 582, 2006

Heiko Enderling - (email), Alexander R.A. Anderson - (email), Mark A.J. Chaplain - (email), Glenn W.A. Rowe - (email)

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Optimal feedback production for a single-echelon supply chain

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1431 - 1444, 2006

K.H. Wong - (email), Chi Kin Chan - (email), H. W.J. Lee - (email)

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Analysis of Blood Flow Velocity and Pressure Signals using the Multipulse Method

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 419 - 440, 2006

Derek H. Justice - (email), H. Joel Trussell - (email), Mette S. Olufsen - (email)

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Controllability of couette flows

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 201 - 211, 2005

Michael Schmidt - (email), Emmanuel Trélat - (email)

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Renormalization group calculation of asymptotically self-similar dynamics

DCDS Supplements  Volume 2005, Issue Special, Pages : 131 - 141, 2005

G. A. Braga - (email), Frederico Furtado - (email), Vincenzo Isaia - (email)

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87

Using Mathematical Modeling as a Resource in Clinical Trials

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 421 - 436, 2005

Evans K. Afenya - (email)

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Spatially Distributed Morphogen Production and Morphogen Gradient Formation

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 239 - 262, 2005

Arthur D. Lander - (email), Qing Nie - (email), Frederic Y. M. Wan - (email)

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A mathematical model for treatment-resistant mutations of HIV

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 363 - 380, 2005

Helen Moore - (email), Weiqing Gu - (email)

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The Effects of Affinity Mediated Clonal Expansion of Premigrant Thymocytes on the Periphery T-Cell Repertoire

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 153 - 168, 2004

Guanyu Wang - (email)

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A General Mathematical Method for Investigating the Thymic Microenvironment, Thymocyte Development, and Immunopathogenesis

Mathematical Biosciences and Engineering  Volume 1, Issue 2, Pages : 289 - 305, 2004

Guanyu Wang - (email), Gerhard R. F. Krueger - (email)

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Analysis and numerical approximation of a class of two-way diffusions

Communications on Pure and Applied Analysis  Volume 2, Issue 1, Pages : 91 - 99, 2002

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Global existence of solutions to a reaction diffusion system based upon carbonate reaction kinetics

Communications on Pure and Applied Analysis  Volume 1, Issue 1, Pages : 77 - 84, 2001

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On Maxwell's system with a thermal effect

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