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Morse indices and symmetry breaking for the Gelfand equation in expanding annuli

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1509 - 1523, 2017

Linfeng Mei - (email), Zongming Guo - (email)

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Global dynamics of a coupled epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1575 - 1585, 2017

Hongying Shu - (email), Xiang-Sheng Wang - (email)

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Traveling fronts bifurcating from stable layers in the presence of conservation laws

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2619 - 2651, 2017

Alin Pogan - (email), Arnd Scheel - (email)

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Global dynamics of solutions with group invariance for the nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 557 - 590, 2017

Takahisa Inui - (email)

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Effect of harvesting quota and protection zone in a reaction-diffusion model arising from fishery management

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 791 - 807, 2017

Renhao Cui - (email), Haomiao Li - (email), Linfeng Mei - (email), Junping Shi - (email)

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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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7

Direct approach to detect the heteroclinic bifurcation of the planar nonlinear system

Discrete and Continuous Dynamical Systems  Volume 37, Issue 1, Pages : 591 - 604, 2016

Ling-Hao Zhang - (email), Wei Wang - (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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Computer-assisted equilibrium validation for the diblock copolymer model

Discrete and Continuous Dynamical Systems  Volume 37, Issue 2, Pages : 1075 - 1107, 2016

Thomas Wanner - (email)

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Optimal control of a tuberculosis model with state and control delays

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 321 - 337, 2016

Cristiana J. Silva - (email), Helmut Maurer - (email), Delfim F. M. Torres - (email)

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On the Bonheure-Noris-Weth conjecture in the case of linearly bounded nonlinearities

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2649 - 2662, 2016

Ruyun Ma - (email), Tianlan Chen - (email), Yanqiong Lu - (email)

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12

Complex dynamics of a nutrient-plankton system with nonlinear phytoplankton mortality and allelopathy

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 8, Pages : 2703 - 2728, 2016

Zhipeng Qiu - (email), Huaiping Zhu - (email)

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Bifurcation and one-sign solutions of the $p$-Laplacian involving a nonlinearity with zeros

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5323 - 5345, 2016

Guowei Dai - (email)

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14

Bifurcation of rotating patches from Kirchhoff vortices

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5401 - 5422, 2016

Taoufik Hmidi - (email), Joan Mateu - (email)

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Exact multiplicity of stationary limiting problems of a cell polarization model

Discrete and Continuous Dynamical Systems  Volume 36, Issue 10, Pages : 5627 - 5655, 2016

Tatsuki Mori - (email), Kousuke Kuto - (email), Tohru Tsujikawa - (email), Shoji Yotsutani - (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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A model of infectious salmon anemia virus with viral diffusion between wild and farmed patches

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1869 - 1893, 2016

Evan Milliken - (email), Sergei S. Pilyugin - (email)

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Can the 'stick-slip' phenomenon be explained by a bifurcation in the steady sliding frictional contact problem?

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 2, Pages : 363 - 381, 2016

Patrick Ballard - (email)

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Cellular instabilities analyzed by multi-scale Fourier series: A review

Discrete and Continuous Dynamical Systems - Series S  Volume 9, Issue 2, Pages : 585 - 597, 2016

Michel Potier-Ferry - (email), Foudil Mohri - (email), Fan Xu - (email), Noureddine Damil - (email), Bouazza Braikat - (email), Khadija Mhada - (email), Heng Hu - (email), Qun Huang - (email), Saeid Nezamabadi - (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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Global stability and optimal control for a tuberculosis model with vaccination and treatment

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 1009 - 1022, 2016

Yali Yang - (email), Sanyi Tang - (email), Xiaohong Ren - (email), Huiwen Zhao - (email), Chenping Guo - (email)

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Errata: Evolutionary dynamics of a multi-trait semelparous model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 1023 - 1026, 2016

Amy Veprauskas - (email), J. M. Cushing - (email)

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Global stability for an $SEI$ model of infectious disease with age structure and immigration of infecteds

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 381 - 400, 2015

C. Connell McCluskey - (email)

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The Nehari solutions and asymmetric minimizers

DCDS Supplements  Volume 2015, Issue special, Pages : 562 - 568, 2015

Armands Gritsans - (email), Felix Sadyrbaev - (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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Evolutionary dynamics of a multi-trait semelparous model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 655 - 676, 2015

Amy Veprauskas - (email), J. M. Cushing - (email)

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On a two-patch predator-prey model with adaptive habitancy of predators

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 677 - 697, 2015

Xiaoying Wang - (email), Xingfu Zou - (email)

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Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 699 - 719, 2015

Dongmei Xiao - (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

Xiaodan Sun - (email), Yanni Xiao - (email), Zhihang Peng - (email)

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30

Nonlinear Neumann problems with indefinite potential and concave terms

Communications on Pure and Applied Analysis  Volume 14, Issue 6, Pages : 2561 - 2616, 2015

Shouchuan Hu - (email), Nikolaos S. Papageorgiou - (email)

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31

Reduced model from a reaction-diffusion system of collective motion of camphor boats

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 847 - 856, 2015

Shin-Ichiro Ei - (email), Kota Ikeda - (email), Masaharu Nagayama - (email), Akiyasu Tomoeda - (email)

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32

Stationary solutions for some shadow system of the Keller-Segel model with logistic growth

Discrete and Continuous Dynamical Systems - Series S  Volume 8, Issue 5, Pages : 1023 - 1034, 2015

Tohru Tsujikawa - (email), Kousuke Kuto - (email), Yasuhito Miyamoto - (email), Hirofumi Izuhara - (email)

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33

Chaos in a model for masting

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 1917 - 1932, 2015

Kaijen Cheng - (email), Kenneth Palmer - (email)

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34

Protection zone in a modified Lotka-Volterra model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 7, Pages : 2027 - 2038, 2015

Xiao He - (email), Sining Zheng - (email)

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35

Partial differential equations with Robin boundary condition in online social networks

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1609 - 1624, 2015

Guowei Dai - (email), Ruyun Ma - (email), Haiyan Wang - (email), Feng Wang - (email), Kuai Xu - (email)

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36

Discrete time dynamic oligopolies with adjustment constraints

Journal of Dynamics and Games  Volume 2, Issue 1, Pages : 65 - 87, 2015

Chrystie Burr - (email), Laura Gardini - (email), Ferenc Szidarovszky - (email)

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37

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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38

Chaos in a model for masting

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

Kaijen Cheng - (email), Kenneth Palmer - (email)

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A TB-HIV/AIDS coinfection model and optimal control treatment

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4639 - 4663, 2015

Cristiana J. Silva - (email), Delfim F. M. Torres - (email)

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40

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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41

Regions of stability for a linear differential equation with two rationally dependent delays

Discrete and Continuous Dynamical Systems  Volume 35, Issue 10, Pages : 4955 - 4986, 2015

Joseph M. Mahaffy - (email), Timothy C. Busken - (email)

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42

A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation

Communications on Pure and Applied Analysis  Volume 14, Issue 4, Pages : 1481 - 1531, 2015

Satoshi Masaki - (email)

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43

Essential perturbations of polynomial vector fields with a period annulus

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 1073 - 1095, 2015

Adriana Buică - (email), Jaume Giné - (email), Maite Grau - (email)

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44

Chaos control in a pendulum system with excitations

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 373 - 383, 2015

Xianwei Chen - (email), Zhujun Jing - (email), Xiangling Fu - (email)

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45

Dynamical complexity of a prey-predator model with nonlinear predator harvesting

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 2, Pages : 423 - 443, 2015

R. P. Gupta - (email), Peeyush Chandra - (email), Malay Banerjee - (email)

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46

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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47

The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 3, Pages : 875 - 887, 2015

Thai Son Doan - (email), Martin Rasmussen - (email), Peter E. Kloeden - (email)

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48

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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49

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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50

Delayed population models with Allee effects and exploitation

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 83 - 97, 2014

Eduardo Liz - (email), Alfonso Ruiz-Herrera - (email)

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51

Qualitative analysis of a Lotka-Volterra competition system with advection

Discrete and Continuous Dynamical Systems  Volume 35, Issue 3, Pages : 1239 - 1284, 2014

Qi Wang - (email), Chunyi Gai - (email), Jingda Yan - (email)

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52

Stochastically perturbed sliding motion in piecewise-smooth systems

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2889 - 2913, 2014

D. J. W. Simpson - (email), R. Kuske - (email)

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53

Global dynamics of a piece-wise epidemic model with switching vaccination strategy

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 9, Pages : 2915 - 2940, 2014

Aili Wang - (email), Yanni Xiao - (email), Robert A. Cheke - (email)

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54

Bifurcation values for a family of planar vector fields of degree five

Discrete and Continuous Dynamical Systems  Volume 35, Issue 2, Pages : 669 - 701, 2014

Johanna D. García-Saldaña - (email), Armengol Gasull - (email), Hector Giacomini - (email)

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55

Global dynamics of a non-local delayed differential equation in the half plane

Communications on Pure and Applied Analysis  Volume 13, Issue 6, Pages : 2475 - 2492, 2014

Tao Wang - (email)

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56

Duffing-van der Pol-type oscillator systems

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1231 - 1257, 2014

Zhaosheng Feng - (email)

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57

Stoichiometric producer-grazer models with varying nitrogen pools and ammonia toxicity

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1305 - 1320, 2014

Hao Liu - (email), Aaron Packer - (email), Yang Kuang - (email)

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58

On bursting solutions near chaotic regimes in a neuron model

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1363 - 1383, 2014

Feng Zhang - (email), Alice Lubbe - (email), Qishao Lu - (email), Jianzhong Su - (email)

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59

Quadratic perturbations of a quadratic reversible Lotka-Volterra system with two centers

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4807 - 4826, 2014

Linping Peng - (email), Zhaosheng Feng - (email), Changjian Liu - (email)

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60

On effects of sampling radius for the nonlocal Patlak-Keller-Segel chemotaxis model

Discrete and Continuous Dynamical Systems  Volume 34, Issue 11, Pages : 4911 - 4946, 2014

Tian Xiang - (email)

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61

A continuous phenotype space model of RNA virus evolution within a host

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 919 - 927, 2014

Andrei Korobeinikov - (email), Conor Dempsey - (email)

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62

Global dynamics for two-species competition in patchy environment

Mathematical Biosciences and Engineering  Volume 11, Issue 4, Pages : 947 - 970, 2014

Kuang-Hui Lin - (email), Yuan Lou - (email), Chih-Wen Shih - (email), Tze-Hung Tsai - (email)

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63

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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64

Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 3, Pages : 747 - 760, 2014

Michael Y. Li - (email), Xihui Lin - (email), Hao Wang - (email)

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65

A simple epidemiological model for populations in the wild with Allee effects and disease-modified fitness

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 89 - 130, 2013

Yun Kang - (email), Carlos Castillo-Chávez - (email)

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66

Bifurcation to positive solutions in BVPs of logistic type with nonlinear indefinite mixed boundary conditions

DCDS Supplements  Volume 2013, Issue special, Pages : 95 - 104, 2013

Santiago Cano-Casanova - (email)

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67

Analysis of a mathematical model for jellyfish blooms and the cambric fish invasion

DCDS Supplements  Volume 2013, Issue special, Pages : 663 - 672, 2013

Florian Rupp - (email), Jürgen Scheurle - (email)

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68

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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69

A study on the positive nonconstant steady states of nonlocal chemotaxis systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2457 - 2485, 2013

Tian Xiang - (email)

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70

A nonlinear diffusion problem arising in population genetics

Discrete and Continuous Dynamical Systems  Volume 34, Issue 2, Pages : 821 - 841, 2013

Peng Zhou - (email), Jiang Yu - (email), Dongmei Xiao - (email)

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71

Different types of backward bifurcations due to density-dependent treatments

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1651 - 1668, 2013

Baojun Song - (email), Wen Du - (email), Jie Lou - (email)

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72

Darwinian dynamics of a juvenile-adult model

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1017 - 1044, 2013

J. M. Cushing - (email), Simon Maccracken Stump - (email)

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73

Global dynamics of boundary droplets

Discrete and Continuous Dynamical Systems  Volume 34, Issue 1, Pages : 1 - 17, 2013

Peter W. Bates - (email), Jiayin Jin - (email)

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74

Bifurcation of isolated closed orbits from degenerated singularity in $\mathbb{R}^{3}$

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 2861 - 2883, 2013

Jianfeng Huang - (email), Yulin Zhao - (email)

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75

Geometry of stationary solutions for a system of vortex filaments: A dynamical approach

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 3011 - 3042, 2013

Francesco Paparella - (email), Alessandro Portaluri - (email)

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76

Uniqueness of limit cycles and multiple attractors in a Gause-type predator-prey model with nonmonotonic functional response and Allee effect on prey

Mathematical Biosciences and Engineering  Volume 10, Issue 2, Pages : 345 - 367, 2013

Eduardo González-Olivares - (email), Betsabé González-Yañez - (email), Jaime Mena-Lorca - (email), José D. Flores - (email)

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77

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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78

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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79

An infinite dimensional bifurcation problem with application to a class of functional differential equations of neutral type

Communications on Pure and Applied Analysis  Volume 12, Issue 5, Pages : 1845 - 1859, 2013

Jean-François Couchouron - (email), Mikhail Kamenskii - (email), Paolo Nistri - (email)

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80

Application of the subharmonic Melnikov method to piecewise-smooth systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 5, Pages : 2189 - 2209, 2012

Kazuyuki Yagasaki - (email)

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81

Topology and homoclinic trajectories of discrete dynamical systems

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 4, Pages : 1077 - 1094, 2012

Jacobo Pejsachowicz - (email), Robert Skiba - (email)

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82

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

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

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

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83

Canard explosion in chemical and optical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 2, Pages : 495 - 512, 2012

Elena Shchepakina - (email), Olga Korotkova - (email)

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84

Global analysis of a simple parasite-host model with homoclinic orbits

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 767 - 784, 2012

Jianquan Li - (email), Yanni Xiao - (email), Yali Yang - (email)

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85

Low viral persistence of an immunological model

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 809 - 817, 2012

Suqi Ma - (email)

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86

Global stability for an SEI epidemiological model with continuous age-structure in the exposed and infectious classes

Mathematical Biosciences and Engineering  Volume 9, Issue 4, Pages : 819 - 841, 2012

C. Connell McCluskey - (email)

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87

On the periodic solutions of a class of Duffing differential equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 277 - 282, 2012

Jaume Llibre - (email), Luci Any Roberto - (email)

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88

Continuation and bifurcation of multi-symmetric solutions in reversible Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 359 - 363, 2012

André Vanderbauwhede - (email)

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89

Optimal control strategies for tuberculosis treatment: A case study in Angola

Numerical Algebra, Control and Optimization  Volume 2, Issue 3, Pages : 601 - 617, 2012

Cristiana J. Silva - (email), Delfim F. M. Torres - (email)

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90

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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91

On limit systems for some population models with cross-diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 8, Pages : 2745 - 2769, 2012

Kousuke Kuto - (email), Yoshio Yamada - (email)

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A comparison of computational efficiencies of stochastic algorithms in terms of two infection models

Mathematical Biosciences and Engineering  Volume 9, Issue 3, Pages : 487 - 526, 2012

H. Thomas Banks - (email), Shuhua Hu - (email), Michele Joyner - (email), Anna Broido - (email), Brandi Canter - (email), Kaitlyn Gayvert - (email), Kathryn Link - (email)

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93

Anti-angiogenic therapy based on the binding to receptors

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 3871 - 3894, 2012

Manuel Delgado - (email), Cristian Morales-Rodrigo - (email), Antonio Suárez - (email)

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94

Infinite dimensional relaxation oscillation in aggregation-growth systems

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 6, Pages : 1859 - 1887, 2012

Shin-Ichiro Ei - (email), Hirofumi Izuhara - (email), Masayasu Mimura - (email)

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95

Evaluating cyclicity of cubic systems with algorithms of computational algebra

Communications on Pure and Applied Analysis  Volume 11, Issue 5, Pages : 2023 - 2035, 2012

Viktor Levandovskyy - (email), Gerhard Pfister - (email), Valery G. Romanovski - (email)

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96

On a chemotaxis model with saturated chemotactic flux

Kinetic and Related Models  Volume 5, Issue 1, Pages : 51 - 95, 2012

Alina Chertock - (email), Alexander Kurganov - (email), Xuefeng Wang - (email), Yaping Wu - (email)

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97

A lattice model for resonance in open periodic waveguides

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 5, Pages : 989 - 1020, 2012

Natalia Ptitsyna - (email), Stephen P. Shipman - (email)

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98

A bifurcation for a generalized Burgers' equation in dimension one

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 3, Pages : 683 - 706, 2011

Jean-François Rault - (email)

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99

Box dimension and bifurcations of one-dimensional discrete dynamical systems

Discrete and Continuous Dynamical Systems  Volume 32, Issue 4, Pages : 1287 - 1307, 2011

Lana Horvat Dmitrović - (email)

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100

Bifurcation and bursting in Morris-Lecar model for class I and class II excitability

DCDS Supplements  Volume 2011, Issue Special, Pages : 391 - 399, 2011

Lixia Duan - (email), Dehong Zhai - (email), Qishao Lu - (email)

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101

The geometry of limit cycle bifurcations in polynomial dynamical systems

DCDS Supplements  Volume 2011, Issue Special, Pages : 447 - 456, 2011

Valery A. Gaiko - (email)

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102

Heterogeneity-induced spot dynamics for a three-component reaction-diffusion system

Communications on Pure and Applied Analysis  Volume 11, Issue 1, Pages : 307 - 338, 2011

Yasumasa Nishiura - (email), Takashi Teramoto - (email), Xiaohui Yuan - (email)

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103

A mathematical model for cellular immunology of tuberculosis

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 973 - 986, 2011

Eduardo Ibarguen-Mondragon - (email), Lourdes Esteva - (email), Leslie Chávez-Galán - (email)

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104

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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105

Persistent high incidence of tuberculosis among immigrants in a low-incidence country: Impact of immigrants with early or late latency

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 695 - 709, 2011

Hongbin Guo - (email), Jianhong Wu - (email)

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106

Bursting and two-parameter bifurcation in the Chay neuronal model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 445 - 456, 2011

Lixia Duan - (email), Zhuoqin Yang - (email), Shenquan Liu - (email), Dunwei Gong - (email)

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107

Firing control of ink gland motor cells in Aplysia californica

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 529 - 545, 2011

Xiangying Meng - (email), Quanbao Ji - (email), John Rinzel - (email)

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108

The bifurcation of interfacial capillary-gravity waves under O(2) symmetry

Communications on Pure and Applied Analysis  Volume 10, Issue 4, Pages : 1183 - 1204, 2011

Mark Jones - (email)

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109

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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110

Dynamic phase transition for binary systems in cylindrical geometry

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 1, Pages : 173 - 188, 2011

I-Liang Chern - (email), Chun-Hsiung Hsia - (email)

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111

Stability of positive constant steady states and their bifurcation in a biological depletion model

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 849 - 865, 2011

Yan'e Wang - (email), Jianhua Wu - (email)

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112

Nongeneric bifurcations near heterodimensional cycles with inclination flip in $\mathbb{R}^4$

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1511 - 1532, 2010

Dan Liu - (email), Shigui Ruan - (email), Deming Zhu - (email)

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113

Study on the stability and bifurcations of limit cycles in higher-dimensional nonlinear autonomous systems

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 1, Pages : 231 - 254, 2010

Jianhe Shen - (email), Shuhui Chen - (email), Kechang Lin - (email)

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114

Imperfect bifurcations in nonlinear elliptic equations on spherical caps

Communications on Pure and Applied Analysis  Volume 9, Issue 5, Pages : 1189 - 1208, 2010

C. Bandle - (email), Y. Kabeya - (email), Hirokazu Ninomiya - (email)

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115

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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116

Multistability, oscillations and bifurcations in feedback loops

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 83 - 97, 2010

Maria Conceição A. Leite - (email), Yunjiao Wang - (email)

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117

Dynamics of a plant-herbivore model with toxin-induced functional response

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 149 - 169, 2010

Ya Li - (email), Z. Feng - (email)

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118

Flow driven dynamics of sheared flowing polymer-particulate nanocomposites

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1359 - 1382, 2009

Jun Li - (email), Qi Wang - (email)

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119

Generation of homoclinic tangencies by $C^1$-perturbations

Discrete and Continuous Dynamical Systems  Volume 26, Issue 1, Pages : 1 - 42, 2009

Nikolaz Gourmelon - (email)

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120

Existence and stability of high frequency standing waves for a nonlinear Schrödinger equation

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1229 - 1247, 2009

François Genoud - (email)

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121

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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122

Evidence of chaos in eco-epidemic models

Mathematical Biosciences and Engineering  Volume 6, Issue 4, Pages : 855 - 871, 2009

Dirk Stiefs - (email), Ezio Venturino - (email), Ulrike Feudel - (email)

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123

Asymptotical dynamics of the modified Schnackenberg equations

DCDS Supplements  Volume 2009, Issue Special, Pages : 857 - 868, 2009

Yuncheng You - (email)

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124

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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125

Reaction-diffusion equations for population dynamics with forced speed II - cylindrical-type domains

Discrete and Continuous Dynamical Systems  Volume 25, Issue 1, Pages : 19 - 61, 2009

Henri Berestycki - (email), Luca Rossi - (email)

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126

Global bifurcation for discrete competitive systems in the plane

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 133 - 149, 2009

M. R. S. Kulenović - (email), Orlando Merino - (email)

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127

Mathematical modelling of tuberculosis epidemics

Mathematical Biosciences and Engineering  Volume 6, Issue 2, Pages : 209 - 237, 2009

Juan Pablo Aparicio - (email), Carlos Castillo-Chávez - (email)

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128

Precise range of the existence of positive solutions of a nonlinear, indefinite in sign Neumann problem

Communications on Pure and Applied Analysis  Volume 8, Issue 3, Pages : 999 - 1018, 2009

Vladimir Lubyshev - (email)

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129

Random walk in the three-body problem and applications

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 519 - 540, 2008

Edward Belbruno - (email)

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130

On the spatial central configurations of the 5--body problem and their bifurcations

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 505 - 518, 2008

Martha Alvarez - (email), Joaquin Delgado - (email), Jaume Llibre - (email)

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131

Erratum

Discrete and Continuous Dynamical Systems  Volume 22, Issue 3, Pages : 816 - 816, 2008

Freddy Dumortier - (email), Robert Roussarie - (email)

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132

Existence and multiplicity of solutions for a weakly coupled radial system in a ball

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 787 - 793, 2008

E. N. Dancer - (email), Sanjiban Santra - (email)

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133

Global attractor of the Gray-Scott equations

Communications on Pure and Applied Analysis  Volume 7, Issue 4, Pages : 947 - 970, 2008

Yuncheng You - (email)

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134

Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves

Discrete and Continuous Dynamical Systems  Volume 21, Issue 1, Pages : 137 - 186, 2008

François Genoud - (email), Charles A. Stuart - (email)

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135

Mathematical analysis of the transmission dynamics of HIV/TB coinfection in the presence of treatment

Mathematical Biosciences and Engineering  Volume 5, Issue 1, Pages : 145 - 174, 2008

Oluwaseun Sharomi - (email), Chandra N. Podder - (email), Abba B. Gumel - (email), Baojun Song - (email)

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136

Bifurcation of relaxation oscillations in dimension two

Discrete and Continuous Dynamical Systems  Volume 19, Issue 4, Pages : 631 - 674, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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137

Seventeen limit cycles bifurcations of a fifth system

DCDS Supplements  Volume 2007, Issue Special, Pages : 1070 - 1081, 2007

Yunming Zhou - (email), Desheng Shang - (email), Tonghua Zhang - (email)

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138

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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139

Vector p-Laplacian like operators, pseudo-eigenvalues, and bifurcation

Discrete and Continuous Dynamical Systems  Volume 19, Issue 2, Pages : 299 - 321, 2007

Marta García-Huidobro - (email), Raul Manásevich - (email), J. R. Ward - (email)

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140

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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141

Dynamics of a predator-prey model with non-monotonic response function

Discrete and Continuous Dynamical Systems  Volume 18, Issue 2/3, Pages : 221 - 251, 2007

H. W. Broer - (email), K. Saleh - (email), V. Naudot - (email), R. Roussarie - (email)

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142

Modeling diseases with latency and relapse

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 205 - 219, 2007

P. van den Driessche - (email), Lin Wang - (email), Xingfu Zou - (email)

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143

Canard cycles with two breaking parameters

Discrete and Continuous Dynamical Systems  Volume 17, Issue 4, Pages : 787 - 806, 2007

Freddy Dumortier - (email), Robert Roussarie - (email)

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144

The dynamics of a stoichiometric plant-herbivore model and its discrete analog

Mathematical Biosciences and Engineering  Volume 4, Issue 1, Pages : 29 - 46, 2006

Guangyu Sui - (email), Meng Fan - (email), Irakli Loladze - (email), Yang Kuang - (email)

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145

The dynamics of a Prey-Predator model with impulsive state feedback control

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 6, Pages : 1301 - 1320, 2006

Guirong Jiang - (email), Qishao Lu - (email)

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146

Lyapunov functions for tuberculosis models with fast and slow progression

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 603 - 614, 2006

C. Connell Mccluskey - (email)

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147

On a Burgers' type equation

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 5, Pages : 1121 - 1139, 2006

Chun-Hsiung Hsia - (email), Xiaoming Wang - (email)

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148

Global dynamics of a staged progression model for infectious diseases

Mathematical Biosciences and Engineering  Volume 3, Issue 3, Pages : 513 - 525, 2006

Hongbin Guo - (email), Michael Yi Li - (email)

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149

Dynamic bifurcation theory of Rayleigh-Bénard convection with infinite Prandtl number

Discrete and Continuous Dynamical Systems - Series B  Volume 6, Issue 3, Pages : 591 - 604, 2006

Jungho Park - (email)

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150

Nonlinear semelparous Leslie models

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 17 - 36, 2005

J. M. Cushing - (email)

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151

Raves, clubs and ecstasy: the impact of peer pressure

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 249 - 266, 2005

Baojun Song - (email), Melissa Castillo-Garsow - (email), Karen R. Ríos-Soto - (email), Marcin Mejran - (email), Leilani Henso - (email), Carlos Castillo-Chavez - (email)

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152

Behaviors of solutions to a scalar-field equation involving the critical Sobolev exponent with the Robin condition

Discrete and Continuous Dynamical Systems  Volume 14, Issue 1, Pages : 117 - 134, 2005

Y. Kabeya - (email)

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153

Kinks in stripe forming systems under traveling wave forcing

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 4, Pages : 1027 - 1042, 2005

S. Rüdiger - (email), J. Casademunt - (email), L. Kramer - (email)

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154

Impulsive Ecological Control Of A Stage-Structured Pest Management System

Mathematical Biosciences and Engineering  Volume 2, Issue 2, Pages : 329 - 344, 2005

Guirong Jiang - (email), Qishao Lu - (email), Linping Peng - (email)

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155

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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156

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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157

Impulsive vaccination of sir epidemic models with nonlinear incidence rates

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 595 - 605, 2004

Jing Hui - (email), Lansun Chen - (email)

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158

The impact of state feedback control on a predator-prey model with functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 607 - 614, 2004

Haiying Jing - (email), Zhaoyu Yang - (email)

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159

A hierarchy of cancer models and their mathematical challenges

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 147 - 159, 2003

Avner Friedman - (email)

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160

Factor analysis of nonlinear mappings: p-regularity theory

Communications on Pure and Applied Analysis  Volume 2, Issue 4, Pages : 425 - 445, 2003

Jerrold E. Marsden - (email), Alexey Tret'yakov - (email)

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161

Cylindrical shell buckling: a characterization of localization and periodicity

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 4, Pages : 505 - 518, 2003

G.W. Hunt - (email), Gabriel J. Lord - (email), Mark A. Peletier - (email)

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162

Bifurcation from a homoclinic orbit in partial functional differential equations

Discrete and Continuous Dynamical Systems  Volume 9, Issue 5, Pages : 1293 - 1322, 2003

Shigui Ruan - (email), Junjie Wei - (email), Jianhong Wu - (email)

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163

Degenerate resonances in forced oscillators

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 3, Pages : 423 - 438, 2003

Kazuyuki Yagasaki - (email)

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164

Stochastic global bifurcation in perturbed Hamiltonian systems

DCDS Supplements  Volume 2003, Issue Special, Pages : 123 - 132, 2003

Lora Billings - (email), Erik M. Bollt - (email), David Morgan - (email), Ira B. Schwartz - (email)

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165

A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles

Discrete and Continuous Dynamical Systems  Volume 9, Issue 1, Pages : 209 - 224, 2002

Russell Johnson - (email), Francesca Mantellini - (email)

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166

Optimal control of treatments in a two-strain tuberculosis model

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 4, Pages : 473 - 482, 2002

E. Jung - (email), Suzanne Lenhart - (email), Z. Feng - (email)

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167

On subharmonics bifurcation in equations with homogeneous nonlinearities

Discrete and Continuous Dynamical Systems  Volume 7, Issue 4, Pages : 747 - 762, 2001

Alexander Krasnosel'skii - (email), Alexei Pokrovskii - (email)

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168

Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 559 - 571, 2001

Junping Shi - (email), Ratnasingham Shivaji - (email)

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169

Bifurcating vortex solutions of the complex Ginzburg-Landau equation

Discrete and Continuous Dynamical Systems  Volume 5, Issue 4, Pages : 871 - 880, 1999

Hans G. Kaper - (email), Peter Takáč - (email)

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170

Bifurcation from degenerate homoclinics in periodically forced systems

Discrete and Continuous Dynamical Systems  Volume 5, Issue 2, Pages : 359 - 374, 1999

Michal Fečkan - (email)

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171

A result in global bifurcation theory using the Conley index

Discrete and Continuous Dynamical Systems  Volume 2, Issue 3, Pages : 387 - 396, 1996

Todd Young - (email)

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