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The spatial dynamics of a zebrafish model with cross-diffusions

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 10 - 10, 2017

Hongyong Zhao - (email), Qianjin Zhang - (email), Linhe Zhu - (email)

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Periodic solutions for a superlinear fractional problem without the Ambrosetti-Rabinowitz condition

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2265 - 2284, 2017

Vincenzo Ambrosio - (email)

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Periodic solutions for a prescribed-energy problem of singular Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2705 - 2715, 2017

Mitsuru Shibayama - (email)

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Condensing operators and periodic solutions of infinite delay impulsive evolution equations

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 3, Pages : 475 - 485, 2017

Jin Liang - (email), James H. Liu - (email), Ti-Jun Xiao - (email)

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Hopf-pitchfork bifurcation analysis in a coupled FHN neurons model with delay

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 3, Pages : 523 - 542, 2017

Runxia Wang - (email), Haihong Liu - (email), Fang Yan - (email), Xiaohui Wang - (email)

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Macroalgal allelopathy in the emergence of coral diseases

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 741 - 762, 2017

Joydeb Bhattacharyya - (email), Samares Pal - (email)

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7

The bifurcation analysis of turing pattern formation induced by delay and diffusion in the Schnakenberg system

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 2, Pages : 647 - 668, 2016

Fengqi Yi - (email), Eamonn A. Gaffney - (email), Sungrim Seirin-Lee - (email)

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8

Bifurcation and spatiotemporal patterns in a Bazykin predator-prey model with self and cross diffusion and Beddington-DeAngelis response

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 3, Pages : 717 - 740, 2016

Eric Avila-Vales - (email), Gerardo García-Almeida - (email), Erika Rivero-Esquivel - (email)

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Multiple periodic solutions of Hamiltonian systems confined in a box

Discrete and Continuous Dynamical Systems  Volume 37, Issue 3, Pages : 1425 - 1436, 2016

Alessandro Fonda - (email), Andrea Sfecci - (email)

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An existence proof of a symmetric periodic orbit in the octahedral six-body problem

Discrete and Continuous Dynamical Systems  Volume 37, Issue 4, Pages : 1903 - 1922, 2016

Anete S. Cavalcanti - (email)

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Complex dynamics in the segmented disc dynamo

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3301 - 3314, 2016

Jianghong Bao - (email)

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12

Hopf bifurcation in a model of TGF-$\beta$ in regulation of the Th 17 phenotype

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 10, Pages : 3575 - 3602, 2016

Jisun Lim - (email), Seongwon Lee - (email), Yangjin Kim - (email)

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13

Angiogenesis model with Erlang distributed delays

Mathematical Biosciences and Engineering  Volume 14, Issue 1, Pages : 1 - 15, 2016

Emad Attia - (email), Marek Bodnar - (email), Urszula Foryś - (email)

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14

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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15

Dynamical analysis of a toxin-producing phytoplankton-zooplankton model with refuge

Mathematical Biosciences and Engineering  Volume 14, Issue 2, Pages : 529 - 557, 2016

Juan Li - (email), Yongzhong Song - (email), Hui Wan - (email), Huaiping Zhu - (email)

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Normal forms of planar switching systems

Discrete and Continuous Dynamical Systems  Volume 36, Issue 12, Pages : 6715 - 6736, 2016

Xingwu Chen - (email), Weinian Zhang - (email)

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Remark on an elastic plate interacting with a gas in a semi-infinite tube: Periodic solutions

Evolution Equations and Control Theory  Volume 5, Issue 4, Pages : 561 - 566, 2016

Igor Chueshov - (email)

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Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems

Communications on Pure and Applied Analysis  Volume 15, Issue 5, Pages : 1625 - 1642, 2016

Xiao-Fei Zhang - (email), Fei Guo - (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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Hopf periodic orbits for a ratio--dependent predator--prey model with stage structure

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 6, Pages : 1859 - 1867, 2016

Jaume Llibre - (email), Claudio Vidal - (email)

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21

Bifurcation analysis of a diffusive plant-wrack model with tide effect on the wrack

Mathematical Biosciences and Engineering  Volume 13, Issue 4, Pages : 857 - 885, 2016

Jun Zhou - (email)

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Dynamics in a Rosenzweig-Macarthur predator-prey system with quiescence

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 909 - 918, 2016

Jinfeng Wang - (email), Hongxia Fan - (email)

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Backward bifurcation of an HTLV-I model with immune response

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 863 - 881, 2016

Sumei Li - (email), Yicang Zhou - (email)

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Detecting periodic orbits in some 3D chaotic quadratic polynomial differential systems

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 1 - 11, 2015

Tiago de Carvalho - (email), Rodrigo Donizete Euzébio - (email), Jaume Llibre - (email), Durval José Tonon - (email)

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Delay-induced mixed-mode oscillations in a 2D Hindmarsh-Rose-type model

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 37 - 53, 2015

Shyan-Shiou Chen - (email), Chang-Yuan Cheng - (email)

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Bifurcation analysis of HIV-1 infection model with cell-to-cell transmission and immune response delay

Mathematical Biosciences and Engineering  Volume 13, Issue 2, Pages : 343 - 367, 2015

Jinhu Xu - (email), Yicang Zhou - (email)

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Microbial disease in coral reefs: An ecosystem in transition

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 373 - 398, 2015

Joydeb Bhattacharyya - (email), Samares Pal - (email)

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Oscillations in age-structured models of consumer-resource mutualisms

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 2, Pages : 537 - 555, 2015

Zhihua Liu - (email), Pierre Magal - (email), Shigui Ruan - (email)

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Age-structured and delay differential-difference model of hematopoietic stem cell dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 9, Pages : 2765 - 2791, 2015

Mostafa Adimy - (email), Abdennasser Chekroun - (email), Tarik-Mohamed Touaoula - (email)

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Hopf bifurcation for a spatially and age structured population dynamics model

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 6, Pages : 1735 - 1757, 2015

Zhihua Liu - (email), Hui Tang - (email), Pierre Magal - (email)

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On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points

Discrete and Continuous Dynamical Systems  Volume 36, Issue 1, Pages : 217 - 244, 2015

Jifa Jiang - (email), Lei Niu - (email)

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32

Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions

Mathematical Biosciences and Engineering  Volume 12, Issue 4, Pages : 699 - 715, 2015

Lin Wang - (email), James Watmough - (email), Fang Yu - (email)

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33

Qualitative analysis of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 1127 - 1145, 2015

Jun Zhou - (email)

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34

A mathematical model of HTLV-I infection with two time delays

Communications on Pure and Applied Analysis  Volume 14, Issue 3, Pages : 432 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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35

A mathematical model of HTLV-I infection with two time delays

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 431 - 449, 2015

Xuejuan Lu - (email), Lulu Hui - (email), Shengqiang Liu - (email), Jia Li - (email)

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36

The effect of time delay in plant--pathogen interactions with host demography

Mathematical Biosciences and Engineering  Volume 12, Issue 3, Pages : 473 - 490, 2015

Bruno Buonomo - (email), Marianna Cerasuolo - (email)

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37

Hopf bifurcation in an age-structured population model with two delays

Communications on Pure and Applied Analysis  Volume 14, Issue 2, Pages : 657 - 676, 2014

Xianlong Fu - (email), Zhihua Liu - (email), Pierre Magal - (email)

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38

Virus dynamics model with intracellular delays and immune response

Mathematical Biosciences and Engineering  Volume 12, Issue 1, Pages : 185 - 208, 2014

Haitao Song - (email), Weihua Jiang - (email), Shengqiang Liu - (email)

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39

Radial stability of periodic solutions of the Gylden-Meshcherskii-type problem

Discrete and Continuous Dynamical Systems  Volume 35, Issue 5, Pages : 1921 - 1932, 2014

Jifeng Chu - (email), Pedro J. Torres - (email), Feng Wang - (email)

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40

Quiescent phases and stability in discrete time dynamical systems

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 1, Pages : 129 - 152, 2014

Karl P. Hadeler - (email)

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41

Modeling the impact of twitter on influenza epidemics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1337 - 1356, 2014

Kasia A. Pawelek - (email), Anne Oeldorf-Hirsch - (email), Libin Rong - (email)

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42

A new model with delay for mosquito population dynamics

Mathematical Biosciences and Engineering  Volume 11, Issue 6, Pages : 1395 - 1410, 2014

Hui Wan - (email), Huaiping Zhu - (email)

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43

On the existence of weighted asymptotically constant solutions of Volterra difference equations of nonconvolution type

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 8, Pages : 2681 - 2690, 2014

Ewa Schmeidel - (email), Karol Gajda - (email), Tomasz Gronek - (email)

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44

Impact of delay on HIV-1 dynamics of fighting a virus with another virus

Mathematical Biosciences and Engineering  Volume 11, Issue 5, Pages : 1181 - 1198, 2014

Yun Tian - (email), Yu Bai - (email), Pei Yu - (email)

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45

Multiple positive periodic solutions to a predator-prey model with Leslie-Gower Holling-type II functional response and harvesting terms

Discrete and Continuous Dynamical Systems - Series S  Volume 7, Issue 6, Pages : 1203 - 1214, 2014

Zengji Du - (email), Xiao Chen - (email), Zhaosheng Feng - (email)

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46

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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47

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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48

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

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

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

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49

Periodic solutions of El Niño model through the Vallis differential system

Discrete and Continuous Dynamical Systems  Volume 34, Issue 9, Pages : 3455 - 3469, 2014

Rodrigo Donizete Euzébio - (email), Jaume Llibre - (email)

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50

Mathematical modeling on helper T cells in a tumor immune system

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 1, Pages : 55 - 72, 2013

Yueping Dong - (email), Rinko Miyazaki - (email), Yasuhiro Takeuchi - (email)

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51

A theorem on chaotic dynamics and its application to differential delay equations

DCDS Supplements  Volume 2001, Issue Special, Pages : 362 - 365, 2013

Roman Srzednicki - (email)

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52

Quasilinear retarded differential equations with functional dependence on piecewise constant argument

Communications on Pure and Applied Analysis  Volume 13, Issue 2, Pages : 929 - 947, 2013

Marat Akhmet - (email)

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53

Pattern formation of the attraction-repulsion Keller-Segel system

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 10, Pages : 2597 - 2625, 2013

Ping Liu - (email), Junping Shi - (email), Zhi-An Wang - (email)

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54

Dynamics of a ratio-dependent predator-prey system with a strong Allee effect

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 9, Pages : 2283 - 2313, 2013

Yujing Gao - (email), Bingtuan Li - (email)

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55

Bifurcation analysis of a discrete SIS model with bilinear incidence depending on new infection

Mathematical Biosciences and Engineering  Volume 10, Issue 5/6, Pages : 1399 - 1417, 2013

Hui Cao - (email), Yicang Zhou - (email), Zhien Ma - (email)

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56

Stability and Hopf bifurcation in a diffusive predator-prey system incorporating a prey refuge

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 979 - 996, 2013

Xiaoyuan Chang - (email), Junjie Wei - (email)

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57

Modelling seasonal HFMD with the recessive infection in Shandong, China

Mathematical Biosciences and Engineering  Volume 10, Issue 4, Pages : 1159 - 1171, 2013

Yangjun Ma - (email), Maoxing Liu - (email), Qiang Hou - (email), Jinqing Zhao - (email)

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58

Hopf bifurcation for a size-structured model with resting phase

Discrete and Continuous Dynamical Systems  Volume 33, Issue 11/12, Pages : 4891 - 4921, 2013

Jixun Chu - (email), Pierre Magal - (email)

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59

Gompertz model with delays and treatment: Mathematical analysis

Mathematical Biosciences and Engineering  Volume 10, Issue 3, Pages : 551 - 563, 2013

Marek Bodnar - (email), Monika Joanna Piotrowska - (email), Urszula Foryś - (email)

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60

On the stability of periodic orbits in delay equations with large delay

Discrete and Continuous Dynamical Systems  Volume 33, Issue 7, Pages : 3109 - 3134, 2013

Jan Sieber - (email), Matthias Wolfrum - (email), Mark Lichtner - (email), Serhiy Yanchuk - (email)

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61

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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62

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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63

Model of tumour angiogenesis -- analysis of stability with respect to delays

Mathematical Biosciences and Engineering  Volume 10, Issue 1, Pages : 19 - 35, 2012

Marek Bodnar - (email), Monika Joanna Piotrowska - (email), Urszula Foryś - (email), Ewa Nizińska - (email)

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64

Oscillatory dynamics in a reaction-diffusion system in the presence of 0:1:2 resonance

Networks and Heterogeneous Media  Volume 7, Issue 4, Pages : 893 - 926, 2012

Toshiyuki Ogawa - (email), Takashi Okuda - (email)

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Periodic solutions of second order Lagrangian difference systems with bounded or singular $\phi$-Laplacian and periodic potential

Discrete and Continuous Dynamical Systems - Series S  Volume 6, Issue 4, Pages : 1065 - 1076, 2012

Jean Mawhin - (email)

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66

Existence of periodic solutions with nonconstant sign in a class of generalized Abel equations

Discrete and Continuous Dynamical Systems  Volume 33, Issue 4, Pages : 1603 - 1614, 2012

Josep M. Olm - (email), Xavier Ros-Oton - (email)

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67

Subharmonic solutions for nonlinear second order equations in presence of lower and upper solutions

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 89 - 110, 2012

Alberto Boscaggin - (email), Fabio Zanolin - (email)

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68

Periodic solutions of first order systems

Discrete and Continuous Dynamical Systems  Volume 33, Issue 1, Pages : 381 - 389, 2012

J. R. Ward - (email)

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69

The effect of delay on a diffusive predator-prey system with Holling Type-II predator functional response

Communications on Pure and Applied Analysis  Volume 12, Issue 1, Pages : 481 - 501, 2012

Shanshan Chen - (email), Junping Shi - (email), Junjie Wei - (email)

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70

Limit cycles of non-autonomous scalar ODEs with two summands

Communications on Pure and Applied Analysis  Volume 12, Issue 2, Pages : 1091 - 1102, 2012

José-Luis Bravo - (email), Manuel Fernández - (email)

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71

Slow passage through multiple bifurcation points

Discrete and Continuous Dynamical Systems - Series B  Volume 18, Issue 1, Pages : 95 - 107, 2012

Younghae Do - (email), Juan M. Lopez - (email)

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72

Mathematical analysis of a HIV model with quadratic logistic growth term

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 7, Pages : 2359 - 2385, 2012

Xinyue Fan - (email), Claude-Michel Brauner - (email), Linda Wittkop - (email)

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73

Multiplicity of solutions of variational systems involving $\phi$-Laplacians with singular $\phi$ and periodic nonlinearities

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4015 - 4026, 2012

Jean Mawhin - (email)

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74

Periodic solutions for a class of second order ODEs with a Nagumo cubic type nonlinearity

Discrete and Continuous Dynamical Systems  Volume 32, Issue 11, Pages : 4045 - 4067, 2012

Chiara Zanini - (email), Fabio Zanolin - (email)

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75

Qualitative analysis of a model for co-culture of bacteria and amoebae

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 259 - 279, 2012

Laura Fumanelli - (email), Pierre Magal - (email), Dongmei Xiao - (email), Xiao Yu - (email)

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76

Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions

Mathematical Biosciences and Engineering  Volume 9, Issue 2, Pages : 347 - 368, 2012

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

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77

Finding periodic orbits in state-dependent delay differential equations as roots of algebraic equations

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2607 - 2651, 2012

Jan Sieber - (email)

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78

Dynamics of a delay differential equation with multiple state-dependent delays

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2701 - 2727, 2012

A. R. Humphries - (email), O. A. DeMasi - (email), F. M. G. Magpantay - (email), F. Upham - (email)

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79

The singular limit of a Hopf bifurcation

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2805 - 2823, 2012

John Guckenheimer - (email), Hinke M. Osinga - (email)

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80

Feed-forward networks, center manifolds, and forcing

Discrete and Continuous Dynamical Systems  Volume 32, Issue 8, Pages : 2913 - 2935, 2012

Martin Golubitsky - (email), Claire Postlethwaite - (email)

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81

Schubart-like orbits in the Newtonian collinear four-body problem: A variational proof

Discrete and Continuous Dynamical Systems  Volume 32, Issue 5, Pages : 1763 - 1774, 2012

Hsin-Yuan Huang - (email)

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82

Three nonzero periodic solutions for a differential inclusion

Discrete and Continuous Dynamical Systems - Series S  Volume 5, Issue 4, Pages : 779 - 788, 2011

Francesca Faraci - (email), Antonio Iannizzotto - (email)

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83

Stability and Hopf bifurcations for a delayed diffusion system in population dynamics

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 1, Pages : 367 - 399, 2011

Xiang-Ping Yan - (email), Wan-Tong Li - (email)

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Coupled cell networks: Hopf bifurcation and interior symmetry

DCDS Supplements  Volume 2011, Issue Special, Pages : 71 - 78, 2011

Fernando Antoneli - (email), Ana Paula S. Dias - (email), Rui Paiva - (email)

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85

Convergence versus periodicity in a single-loop positive-feedback system 2. Periodic solutions

DCDS Supplements  Volume 2011, Issue Special, Pages : 941 - 952, 2011

Monica Lazzo - (email), Paul G. Schmidt - (email)

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86

Periodic solutions for some fully nonlinear fourth order differential equations

DCDS Supplements  Volume 2011, Issue Special, Pages : 1068 - 1077, 2011

Feliz Minhós - (email)

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87

Dynamics of a delay Schistosomiasis model in snail infections

Mathematical Biosciences and Engineering  Volume 8, Issue 4, Pages : 1099 - 1115, 2011

Chunhua Shan - (email), Hongjun Gao - (email), Huaiping Zhu - (email)

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The replicability of oncolytic virus: Defining conditions in tumor virotherapy

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 841 - 860, 2011

Jianjun Paul Tian - (email)

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89

Time-varying delayed feedback control for an internet congestion control model

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 653 - 668, 2011

Shu Zhang - (email), Jian Xu - (email)

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90

Periodic solutions of resonant systems with rapidly rotating nonlinearities

Discrete and Continuous Dynamical Systems  Volume 31, Issue 2, Pages : 373 - 383, 2011

Pablo Amster - (email), Mónica Clapp - (email)

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91

Dynamical behavior of a ratio dependent predator-prey system with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 3, Pages : 719 - 738, 2011

Canan Çelik - (email)

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92

Finding a stable solution of a system of nonlinear equations arising from dynamic systems

Journal of Industrial and Management Optimization  Volume 7, Issue 2, Pages : 497 - 521, 2011

Carl. T. Kelley - (email), Liqun Qi - (email), Xiaojiao Tong - (email), Hongxia Yin - (email)

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93

Existence of nonstationary periodic solutions for $\Gamma$-symmetric Lotka-Volterra type systems

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 709 - 735, 2011

Norimichi Hirano - (email), Wieslaw Krawcewicz - (email), Haibo Ruan - (email)

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94

Hopf bifurcation for some analytic differential systems in $\R^3$ via averaging theory

Discrete and Continuous Dynamical Systems  Volume 30, Issue 3, Pages : 779 - 790, 2011

Jaume Llibre - (email), Clàudia Valls - (email)

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95

Novel dynamics of a simple Daphnia-microparasite model with dose-dependent infection

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1599 - 1610, 2010

Kaifa Wang - (email), Yang Kuang - (email)

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96

Periodic solutions of parabolic problems with hysteresis on the boundary

Discrete and Continuous Dynamical Systems  Volume 29, Issue 3, Pages : 1041 - 1083, 2010

Pavel Gurevich - (email)

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97

A model of varicella-zoster reactivation

Mathematical Biosciences and Engineering  Volume 7, Issue 4, Pages : 765 - 777, 2010

Jonathan E. Forde - (email), Bailey Meeker - (email)

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98

On permanent regimes for non-autonomous linear evolution equations in Banach spaces with applications to transport theory

Kinetic and Related Models  Volume 3, Issue 3, Pages : 473 - 499, 2010

Mustapha Mokhtar-Kharroubi - (email)

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99

A class of doubly degenerate parabolic equations with periodic sources

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 3, Pages : 1199 - 1210, 2010

Jiebao Sun - (email), Boying Wu - (email), Jing Li - (email), Dazhi Zhang - (email)

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100

Rotating Boussinesq equations: Dynamic stability and transitions

Discrete and Continuous Dynamical Systems  Volume 28, Issue 1, Pages : 99 - 130, 2010

Chun-Hsiung Hsia - (email), Tian Ma - (email), Shouhong Wang - (email)

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101

Phase portraits, Hopf bifurcations and limit cycles of Leslie-Gower predator-prey systems with harvesting rates

Discrete and Continuous Dynamical Systems - Series B  Volume 14, Issue 1, Pages : 289 - 306, 2010

C. R. Zhu - (email), K. Q. Lan - (email)

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102

Models for the spread and persistence of hantavirus infection in rodents with direct and indirect transmission

Mathematical Biosciences and Engineering  Volume 7, Issue 1, Pages : 195 - 211, 2010

Curtis L. Wesley - (email), Linda J. S. Allen - (email), Michel Langlais - (email)

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103

Existence and uniqueness of strong periodic solutions of the primitive equations of the ocean

Discrete and Continuous Dynamical Systems  Volume 26, Issue 4, Pages : 1491 - 1508, 2009

T. Tachim Medjo - (email)

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104

Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models

Discrete and Continuous Dynamical Systems - Series B  Volume 13, Issue 1, Pages : 195 - 211, 2009

Yu Yang - (email), Dongmei Xiao - (email)

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105

Birth of canard cycles

Discrete and Continuous Dynamical Systems - Series S  Volume 2, Issue 4, Pages : 723 - 781, 2009

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

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106

Polynomial differential equations with small coefficients

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1129 - 1141, 2009

M. A. M. Alwash - (email)

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107

$3$ - dimensional Hopf bifurcation via averaging theory of second order

Discrete and Continuous Dynamical Systems  Volume 25, Issue 4, Pages : 1287 - 1295, 2009

Jaume Llibre - (email), Amar Makhlouf - (email), Sabrina Badi - (email)

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108

Stability analysis and bifurcations in a diffusive predator-prey system

DCDS Supplements  Volume 2009, Issue Special, Pages : 92 - 100, 2009

Leonid Braverman - (email), Elena Braverman - (email)

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109

Generating functions for Hopf bifurcation with $ S_n$-symmetry

Discrete and Continuous Dynamical Systems  Volume 25, Issue 3, Pages : 823 - 842, 2009

Ana Paula S. Dias - (email), Paul C. Matthews - (email), Ana Rodrigues - (email)

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110

Periodic solutions of a class of Newtonian equations

Communications on Pure and Applied Analysis  Volume 8, Issue 6, Pages : 1795 - 1801, 2009

Dixiang Cheng - (email), Zhengrong Liu - (email), Xin Huang - (email)

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111

Stability, bifurcation analysis in a neural network model with delay and diffusion

DCDS Supplements  Volume 2009, Issue Special, Pages : 367 - 376, 2009

Rui Hu - (email), Yuan Yuan - (email)

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112

Threshold dynamics in a time-delayed periodic SIS epidemic model

Discrete and Continuous Dynamical Systems - Series B  Volume 12, Issue 1, Pages : 169 - 186, 2009

Yijun Lou - (email), Xiao-Qiang Zhao - (email)

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113

Lyapunov coefficients for non-symmetrically coupled identical dynamical systems. Application to coupled advertising models

Discrete and Continuous Dynamical Systems - Series B  Volume 11, Issue 3, Pages : 785 - 803, 2009

Denis de Carvalho Braga - (email), Luis Fernando Mello - (email), Carmen Rocşoreanu - (email), Mihaela Sterpu - (email)

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114

Linear evolution operators on spaces of periodic functions

Communications on Pure and Applied Analysis  Volume 8, Issue 1, Pages : 5 - 36, 2008

Wolfgang Arendt - (email), Patrick J. Rabier - (email)

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115

The mass dependence of the period of the periodic solutions of the Sitnikov problem

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 4, Pages : 597 - 609, 2008

Marcelo Marchesin - (email)

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116

An extension of the Beretta-Kuang model of viral diseases

Mathematical Biosciences and Engineering  Volume 5, Issue 3, Pages : 549 - 565, 2008

Ivo Siekmann - (email), Horst Malchow - (email), Ezio Venturino - (email)

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117

A Variational proof of the existence of Von Schubart's orbit

Discrete and Continuous Dynamical Systems - Series B  Volume 10, Issue 2/3, September, Pages : 699 - 717, 2008

Andrea Venturelli - (email)

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118

Delayed feedback control near Hopf bifurcation

Discrete and Continuous Dynamical Systems - Series S  Volume 1, Issue 2, Pages : 197 - 205, 2008

Fatihcan M. Atay - (email)

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119

A two-parameter geometrical criteria for delay differential equations

Discrete and Continuous Dynamical Systems - Series B  Volume 9, Issue 2, Pages : 397 - 413, 2007

Suqi Ma - (email), Zhaosheng Feng - (email), Qishao Lu - (email)

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120

On the rate of convergence of periodic solutions in perturbed autonomous systems as the perturbation vanishes

Communications on Pure and Applied Analysis  Volume 7, Issue 1, Pages : 49 - 61, 2007

Oleg Makarenkov - (email), Paolo Nistri - (email)

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121

Periodic solutions of Birkhoff-Lewis type for the nonlinear wave equation

DCDS Supplements  Volume 2007, Issue Special, Pages : 102 - 109, 2007

Luca Biasco - (email), Laura Di Gregorio - (email)

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122

Existence of periodic solutions for enzyme-catalysed reactions with periodic substrate input

DCDS Supplements  Volume 2007, Issue Special, Pages : 551 - 557, 2007

Guy Katriel - (email)

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123

Modeling and asymptotic stability of a growth factor-dependent stem cell dynamics model with distributed delay

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 19 - 38, 2007

Mostafa Adimy - (email), Fabien Crauste - (email)

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124

An age and spatially structured model of tumor invasion with haptotaxis

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 45 - 60, 2007

Janet Dyson - (email), Eva Sánchez - (email), Rosanna Villella-Bressan - (email), Glenn F. Webb - (email)

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125

Interaction of diffusion and delay

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 95 - 105, 2007

Karl Peter Hadeler - (email), Shigui Ruan - (email)

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126

Modeling the rock - scissors - paper game between bacteriocin producing bacteria by Lotka-Volterra equations

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 207 - 228, 2007

Gunter Neumann - (email), Stefan Schuster - (email)

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127

Evolutionary dynamics of prey-predator systems with Holling type II functional response

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 221 - 237, 2007

Jian Zu - (email), Wendi Wang - (email), Bo Zu - (email)

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128

A mathematical model for M-phase specific chemotherapy including the $G_0$-phase and immunoresponse

Mathematical Biosciences and Engineering  Volume 4, Issue 2, Pages : 239 - 259, 2007

Wenxiang Liu - (email), Thomas Hillen - (email), H. I. Freedman - (email)

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129

3-dimensional Hopf bifurcation via averaging theory

Discrete and Continuous Dynamical Systems  Volume 17, Issue 3, Pages : 529 - 540, 2006

Jaume Llibre - (email), Claudio A. Buzzi - (email), Paulo R. da Silva - (email)

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130

A variational approach to resonance for asymmetric oscillators

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 163 - 181, 2006

D. Bonheure - (email), C. Fabry - (email)

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131

Periodic solutions of a periodic scalar piecewise ode

Communications on Pure and Applied Analysis  Volume 6, Issue 1, Pages : 213 - 228, 2006

José Luis Bravo - (email), Manuel Fernández - (email), Antonio Tineo - (email)

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132

Hopf bifurcation at infinity for planar vector fields

Discrete and Continuous Dynamical Systems  Volume 17, Issue 2, Pages : 247 - 258, 2006

Begoña Alarcón - (email), Víctor Guíñez - (email), Carlos Gutierrez - (email)

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133

On the stabilizing effect of cannibalism in stage-structured population models

Mathematical Biosciences and Engineering  Volume 3, Issue 4, Pages : 717 - 731, 2006

Bruno Buonomo - (email), Deborah Lacitignola - (email)

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134

Periodic solutions for a 3x 3 competitive system with cross-diffusion

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 725 - 746, 2006

Salomé Martínez - (email), Wei-Ming Ni - (email)

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135

Collisionless orbits of singular and nonsingular dynamical systems

Discrete and Continuous Dynamical Systems  Volume 15, Issue 3, Pages : 747 - 757, 2006

Daniel Franco - (email), J. R. L. Webb - (email)

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136

Modeling Cancer in HIV-1 Infected Individuals: Equilibria, Cycles and Chaotic Behavior

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 313 - 324, 2006

Jie Lou - (email), Tommaso Ruggeri - (email), Claudio Tebaldi - (email)

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137

Global Asymptotic Stability and Hopf Bifurcation for a Blood Cell Production Model

Mathematical Biosciences and Engineering  Volume 3, Issue 2, Pages : 325 - 346, 2006

Fabien Crauste - (email)

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138

Averaging of time - periodic systems without a small parameter

Discrete and Continuous Dynamical Systems  Volume 14, Issue 4, Pages : 753 - 782, 2006

Mickael Chekroun - (email), Michael Ghil - (email), Jean Roux - (email), Ferenc Varadi - (email)

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139

Lindstedt series for periodic solutions of beam equations with quadratic and velocity dependent nonlinearities

Communications on Pure and Applied Analysis  Volume 5, Issue 1, Pages : 1 - 28, 2005

V. Mastropietro - (email), Michela Procesi - (email)

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140

New periodic solutions for three or four identical vortices on a plane and a sphere

DCDS Supplements  Volume 2005, Issue Special, Pages : 110 - 120, 2005

A.V. Borisov - (email), I.S. Mamaev - (email), A.A. Kilin - (email)

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141

Coexistence states for a prey-predator model with cross-diffusion

DCDS Supplements  Volume 2005, Issue Special, Pages : 536 - 545, 2005

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

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142

The Role Of Time Delays, Slow Processes And Chaos In Modulating The Cell-Cycle Clock

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 625 - 642, 2005

E.V. Presnov - (email), Z. Agur - (email)

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143

Existence of periodic solution for a class of systems involving nonlinear wave equations

Communications on Pure and Applied Analysis  Volume 4, Issue 3, Pages : 487 - 498, 2005

Claudianor O. Alves - (email)

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144

Discrete May-Leonard competition models II

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 841 - 860, 2005

Lih-Ing W. Roeger - (email)

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145

Dynamics of a logistic population model with maturation delay and nonlinear birth rate

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 3, Pages : 735 - 752, 2005

Suqi Ma - (email), Qishao Lu - (email), Shuli Mei - (email)

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146

Hopf bifurcations of ODE systems along the singular direction in the parameter plane

Communications on Pure and Applied Analysis  Volume 4, Issue 2, Pages : 445 - 461, 2005

Ruyuan Zhang - (email)

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147

Forced periodic solutions for piezoelectric crystals

Communications on Pure and Applied Analysis  Volume 4, Issue 2, Pages : 475 - 485, 2005

Giovanni Cimatti - (email)

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148

Existence and location of periodic solutions to convex and non coercive Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 12, Issue 5, Pages : 983 - 996, 2005

Giuseppe Cordaro - (email)

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149

The exponential behavior of Navier-Stokes equations with time delay external force

Discrete and Continuous Dynamical Systems  Volume 12, Issue 5, Pages : 997 - 1018, 2005

Takeshi Taniguchi - (email)

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150

Branches of periodic orbits for the planar restricted 3-body problem

Discrete and Continuous Dynamical Systems  Volume 11, Issue 4, Pages : 745 - 755, 2004

Gianni Arioli - (email)

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151

Periodic solutions for three-dimensional non-monotone cyclic systems with time delays

Discrete and Continuous Dynamical Systems  Volume 11, Issue 2/3, Pages : 667 - 692, 2004

Anatoli F. Ivanov - (email), Bernhard Lani-Wayda - (email)

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152

Convergence of Lindstedt series for the non linear wave equation

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 509 - 514, 2004

G. Gentile - (email), V. Mastropietro - (email)

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153

Twelve limit cycles in a cubic order planar system with $Z_2$- symmetry

Communications on Pure and Applied Analysis  Volume 3, Issue 3, Pages : 515 - 526, 2004

P. Yu - (email), M. Han - (email)

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154

Periodic solutions of a class of nonautonomous discrete time semi-ratio-dependent predator-prey systems

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 563 - 574, 2004

Meng Fan - (email), Qian Wang - (email)

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155

Biological stoichiometry of tumor dynamics: Mathematical models and analysis

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 1, Pages : 221 - 240, 2003

Yang Kuang - (email), John D. Nagy - (email), James J. Elser - (email)

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156

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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157

Attractiveness and Hopf bifurcation for retarded differential equations

Communications on Pure and Applied Analysis  Volume 2, Issue 2, Pages : 147 - 158, 2003

R. Ouifki - (email), M. L. Hbid - (email), O. Arino - (email)

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158

Homoclinic orbits in a disease transmission model with nonlinear incidence and nonconstant population

Discrete and Continuous Dynamical Systems - Series B  Volume 3, Issue 2, Pages : 299 - 309, 2003

W.R. Derrick - (email), P. van den Driessche - (email)

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159

Oscillations in a second-order discontinuous system with delay

Discrete and Continuous Dynamical Systems  Volume 9, Issue 2, Pages : 339 - 358, 2002

Eugenii Shustin - (email), Emilia Fridman - (email), Leonid Fridman - (email)

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160

Bifurcations of periodics from homoclinics in singular O.D.E.: applications to discretizations of travelling waves of P.D.E.

Communications on Pure and Applied Analysis  Volume 1, Issue 4, Pages : 475 - 483, 2002

Michal Fečkan - (email), Vassilis Rothos - (email)

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161

Families of periodic orbits for some PDE’s in higher dimensions

Communications on Pure and Applied Analysis  Volume 1, Issue 2, Pages : 269 - 279, 2002

Dario Bambusi - (email), Simone Paleari - (email)

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162

Asymptotic tracking in DC-to-DC nonlinear power converters

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 2, Pages : 295 - 307, 2002

E. Fossas-Colet - (email), J.M. Olm-Miras - (email)

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163

Guiding-like functions for periodic or bounded solutions of ordinary differential equations

Discrete and Continuous Dynamical Systems  Volume 8, Issue 1, Pages : 39 - 54, 2001

Jean Mawhin - (email), James R. Ward Jr - (email)

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164

Equations with a $p$-Laplacian and an asymmetric nonlinear term

Discrete and Continuous Dynamical Systems  Volume 7, Issue 3, Pages : 545 - 557, 2001

C. Fabry - (email), Raul Manásevich - (email)

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165

Positively homogeneous equations in the plane

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 475 - 482, 2000

Alessandro Fonda - (email), Rafael Ortega - (email)

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166

Qualitative analysis of periodic oscillations of an earth satellite with magnetic attitude stabilization

Discrete and Continuous Dynamical Systems  Volume 6, Issue 2, Pages : 293 - 297, 2000

Alexandr A. Zevin - (email), Mark A. Pinsky - (email)

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167

An infinite-dimensional extension of a Poincaré's result concerning the continuation of periodic orbits

Discrete and Continuous Dynamical Systems  Volume 3, Issue 3, Pages : 401 - 418, 1997

Paolo Perfetti - (email)

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168

Multiple periodic solutions of second order equations with asymmetric nonlinearities

Discrete and Continuous Dynamical Systems  Volume 3, Issue 1, Pages : 25 - 34, 1996

C. Rebelo - (email)

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169

Existence and non-existence of homoclinic trajectories of the Liénard system

Discrete and Continuous Dynamical Systems  Volume 2, Issue 2, Pages : 237 - 254, 1996

Jitsuro Sugie - (email), Tadayuki Hara - (email)

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170

Critical values and minimal periods for autonomous Hamiltonian systems

Discrete and Continuous Dynamical Systems  Volume 1, Issue 3, Pages : 389 - 400, 1995

K. Tintarev - (email)

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171

Periodic solutions to unbounded Hamiltonian system

Discrete and Continuous Dynamical Systems  Volume 1, Issue 2, Pages : 277 - 283, 1995

V. Barbu - (email)

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