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Stability and bifurcation on predator-prey systems with nonlocal prey competition

Discrete and Continuous Dynamical Systems  Volume 38, Issue 1, Pages : 43 - 62, 2017

Shanshan Chen - (email), Jianshe Yu - (email)

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2

Averaging approach to cyclicity of Hopf bifurcation in planar linear-quadratic polynomial discontinuous differential systems

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 10, Pages : 3953 - 3965, 2017

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

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3

Time--periodic and stable patterns of a two--competing--species Keller--Segel chemotaxis model: Effect of cellular growth

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 9, Pages : 3547 - 3574, 2017

Qi Wang - (email), Jingyue Yang - (email), Lu Zhang - (email)

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4

Tumor growth dynamics with nutrient limitation and cell proliferation time delay

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 10, Pages : 3771 - 3782, 2017

Ahuod Alsheri - (email), Ebraheem O. Alzahrani - (email), Asim Asiri - (email), Mohamed M. El-Dessoky - (email), Yang Kuang - (email)

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5

Global Hopf bifurcation of a population model with stage structure and strong Allee effect

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 973 - 993, 2017

Pengmiao Hao - (email), Xuechen Wang - (email), Junjie Wei - (email)

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6

Pattern dynamics of a delayed eco-epidemiological model with disease in the predator

Discrete and Continuous Dynamical Systems - Series S  Volume 10, Issue 5, Pages : 1025 - 1042, 2017

Jing Li - (email), Zhen Jin - (email), Gui-Quan Sun - (email), Li-Peng Song - (email)

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7

Global dynamics of a microorganism flocculation model with time delay

Communications on Pure and Applied Analysis  Volume 16, Issue 5, Pages : 1883 - 1891, 2017

Songbai Guo - (email), Wanbiao Ma - (email)

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8

Global dynamics of a delay virus model with recruitment and saturation effects of immune responses

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1233 - 1246, 2017

Cuicui Jiang - (email), Kaifa Wang - (email), Lijuan Song - (email)

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9

An SEI infection model incorporating media impact

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1317 - 1335, 2017

Xuejuan Lu - (email), Shaokai Wang - (email), Shengqiang Liu - (email), Jia Li - (email)

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10

Modeling transcriptional co-regulation of mammalian circadian clock

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1447 - 1462, 2017

Yanqin Wang - (email), Xin Ni - (email), Jie Yan - (email), Ling Yang - (email)

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11

Onset and termination of oscillation of disease spread through contaminated environment

Mathematical Biosciences and Engineering  Volume 14, Issue 5/6, Pages : 1515 - 1533, 2017

Xue Zhang - (email), Shuni Song - (email), Jianhong Wu - (email)

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12

Sliding Hopf bifurcation in interval systems

Discrete and Continuous Dynamical Systems  Volume 37, Issue 7, Pages : 3545 - 3566, 2017

Edward Hooton - (email), Zalman Balanov - (email), Wieslaw Krawcewicz - (email), Dmitrii Rachinskii - (email)

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13

Macroalgal allelopathy in the emergence of coral diseases

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 5, Pages : 26 - 26, 2017

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

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14

Cucker-Smale model with normalized communication weights and time delay

Kinetic and Related Models  Volume 10, Issue 4, Pages : 1011 - 1033, 2017

Young-Pil Choi - (email), Jan Haskovec - (email)

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15

Stability and traveling wavefronts for a convolution model of mistletoes and birds with nonlocal diffusion

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2207 - 2231, 2017

Huimin Liang - (email), Peixuan Weng - (email), Yanling Tian - (email)

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16

The spatial dynamics of a zebrafish model with cross-diffusions

Mathematical Biosciences and Engineering  Volume 14, Issue 4, Pages : 1035 - 1054, 2017

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

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17

Stability and Hopf bifurcation of an HIV infection model with saturation incidence and two delays

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 6, Pages : 2365 - 2387, 2017

Hui Miao - (email), Zhidong Teng - (email), Chengjun Kang - (email)

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18

Optimal harvesting of a stochastic delay competitive model

Discrete and Continuous Dynamical Systems - Series B  Volume 22, Issue 4, Pages : 1493 - 1508, 2017

Meng Liu - (email), Chuanzhi Bai - (email)

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19

Population dynamical behavior of a two-predator one-prey stochastic model with time delay

Discrete and Continuous Dynamical Systems  Volume 37, Issue 5, Pages : 2513 - 2538, 2017

Meng Liu - (email), Chuanzhi Bai - (email), Yi Jin - (email)

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20

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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21

Diffusive predator-prey models with stage structure on prey and Beddington-DeAngelis functional responses

Communications on Pure and Applied Analysis  Volume 16, Issue 2, Pages : 427 - 441, 2017

Seong Lee - (email), Inkyung Ahn - (email)

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22

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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23

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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24

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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25

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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26

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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27

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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28

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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29

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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30

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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31

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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32

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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33

A class of virus dynamic model with inhibitory effect on the growth of uninfected T cells caused by infected T cells and its stability analysis

Communications on Pure and Applied Analysis  Volume 15, Issue 3, Pages : 795 - 806, 2016

Wenbo Cheng - (email), Wanbiao Ma - (email), Songbai Guo - (email)

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34

Stability analysis of a delayed social epidemics model with general contact rate and its optimal control

Journal of Industrial and Management Optimization  Volume 12, Issue 4, Pages : 1267 - 1285, 2016

Xun-Yang Wang - (email), Khalid Hattaf - (email), Hai-Feng Huo - (email), Hong Xiang - (email)

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35

A prey-predator model with migrations and delays

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 3, Pages : 737 - 761, 2016

Isam Al-Darabsah - (email), Xianhua Tang - (email), Yuan Yuan - (email)

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36

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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37

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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38

Global stability of a delayed viral infection model with nonlinear immune response and general incidence rate

Discrete and Continuous Dynamical Systems - Series B  Volume 21, Issue 1, Pages : 133 - 149, 2015

Yu Ji - (email), Lan Liu - (email)

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39

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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40

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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41

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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42

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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43

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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44

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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45

Global behaviour of a delayed viral kinetic model with general incidence rate

Discrete and Continuous Dynamical Systems - Series B  Volume 20, Issue 5, Pages : 1573 - 1582, 2015

Hong Yang - (email), Junjie Wei - (email)

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46

Variational problems of Herglotz type with time delay: DuBois--Reymond condition and Noether's first theorem

Discrete and Continuous Dynamical Systems  Volume 35, Issue 9, Pages : 4593 - 4610, 2015

Simão P. S. Santos - (email), Natália Martins - (email), Delfim F. M. Torres - (email)

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47

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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48

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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49

Optimal tracking control for networked control systems with random time delays and packet dropouts

Journal of Industrial and Management Optimization  Volume 11, Issue 4, Pages : 1343 - 1354, 2015

Ying Wu - (email), Zhaohui Yuan - (email), Yanpeng Wu - (email)

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50

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

Journal of Industrial and Management Optimization  Volume 11, Issue 4, Pages : 432 - 449, 2015

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

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51

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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52

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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53

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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54

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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55

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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56

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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57

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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58

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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59

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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60

Complete classification of global dynamics of a virus model with immune responses

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1087 - 1103, 2014

Cuicui Jiang - (email), Wendi Wang - (email)

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61

Asymptotic pattern of a migratory and nonmonotone population model

Discrete and Continuous Dynamical Systems - Series B  Volume 19, Issue 4, Pages : 1171 - 1195, 2014

Chufen Wu - (email), Dongmei Xiao - (email), Xiao-Qiang Zhao - (email)

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62

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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63

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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64

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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65

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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66

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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67

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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68

Direct model reference adaptive control of linear systems with input/output delays

Numerical Algebra, Control and Optimization  Volume 3, Issue 3, Pages : 445 - 462, 2013

James P. Nelson - (email), Mark J. Balas - (email)

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69

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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70

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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71

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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72

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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73

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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74

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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75

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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76

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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77

Noether's symmetry Theorem for variational and optimal control problems with time delay

Numerical Algebra, Control and Optimization  Volume 2, Issue 3, Pages : 619 - 630, 2012

Gastão S. F. Frederico - (email), Delfim F. M. Torres - (email)

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78

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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79

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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80

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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81

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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82

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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83

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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84

Global stability and convergence rate of traveling waves for a nonlocal model in periodic media

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 3, Pages : 993 - 1007, 2012

Zigen Ouyang - (email), Chunhua Ou - (email)

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85

Global analysis of a delayed vector-bias model for malaria transmission with incubation period in mosquitoes

Mathematical Biosciences and Engineering  Volume 9, Issue 1, Pages : 165 - 174, 2011

Cruz Vargas-De-León - (email)

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86

Time-delayed boundary feedback stabilization of the isothermal Euler equations with friction

Mathematical Control and Related Fields  Volume 1, Issue 4, Pages : 469 - 491, 2011

Martin Gugat - (email), Markus Dick - (email)

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87

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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88

Global stability of a five-dimensional model with immune responses and delay

Discrete and Continuous Dynamical Systems - Series B  Volume 17, Issue 1, Pages : 401 - 416, 2011

Yincui Yan - (email), Wendi Wang - (email)

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89

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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90

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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91

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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92

A note for the global stability of a delay differential equation of hepatitis B virus infection

Mathematical Biosciences and Engineering  Volume 8, Issue 3, Pages : 689 - 694, 2011

Bao-Zhu Guo - (email), Li-Ming Cai - (email)

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93

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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94

Delay-induced synchronization transition in small-world Hodgkin-Huxley neuronal networks with channel blocking

Discrete and Continuous Dynamical Systems - Series B  Volume 16, Issue 2, Pages : 607 - 621, 2011

Qingyun Wang - (email), Xia Shi - (email), Guanrong Chen - (email)

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95

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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96

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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97

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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98

A delay-differential equation model of HIV related cancer--immune system dynamics

Mathematical Biosciences and Engineering  Volume 8, Issue 2, Pages : 627 - 641, 2011

Urszula Foryś - (email), Jan Poleszczuk - (email)

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99

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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100

Oscillations in a plasmid turbidostat model with delayed feedback control

Discrete and Continuous Dynamical Systems - Series B  Volume 15, Issue 3, Pages : 893 - 914, 2011

Sanling Yuan - (email), Yongli Song - (email), Junhui Li - (email)

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101

2-D analysis based iterative learning control for linear discrete-time systems with time delay

Journal of Industrial and Management Optimization  Volume 7, Issue 1, Pages : 175 - 181, 2011

Chuandong Li - (email), Fali Ma - (email), Tingwen Huang - (email)

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102

Periodic solutions of a model for tumor virotherapy

Discrete and Continuous Dynamical Systems - Series S  Volume 4, Issue 6, Pages : 1587 - 1597, 2010

Daniel Vasiliu - (email), Jianjun Paul Tian - (email)

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103

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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104

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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105

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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106

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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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

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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111

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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112

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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113

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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114

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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115

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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116

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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117

Periodic solutions in a delayed predator-prey models with nonmonotonic functional response

Discrete and Continuous Dynamical Systems - Series B  Volume 8, Issue 1, Pages : 175 - 185, 2007

Wan-Tong Li - (email), Yong-Hong Fan - (email)

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118

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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119

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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120

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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121

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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122

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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123

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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124

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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125

The stability of an SIR epidemic model with time delays

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 101 - 109, 2005

Zhen Jin - (email), Zhien Ma - (email)

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126

An improved model of t cell development in the thymus and its stability analysis

Mathematical Biosciences and Engineering  Volume 3, Issue 1, Pages : 237 - 248, 2005

Hongjing Shi - (email), Wanbiao Ma - (email)

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127

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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128

Comparison and convergence to equilibrium in a nonlocal delayed reaction-diffusion model on an infinite domain

Discrete and Continuous Dynamical Systems - Series B  Volume 5, Issue 4, Pages : 1015 - 1026, 2005

Michele V. Bartuccelli - (email), S.A. Gourley - (email), Y. Kyrychko - (email)

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129

Critical-Point Analysis For Three-Variable Cancer Angiogenesis Models

Mathematical Biosciences and Engineering  Volume 2, Issue 3, Pages : 511 - 525, 2005

Urszula Foryś - (email), Yuri Kheifetz - (email), Yuri Kogan - (email)

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130

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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131

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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132

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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133

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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134

Modelling Population Growth with Delayed Nonlocal Reaction in 2-Dimensions

Mathematical Biosciences and Engineering  Volume 2, Issue 1, Pages : 111 - 132, 2004

Dong Liang - (email), Jianhong Wu - (email), Fan Zhang - (email)

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135

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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136

Global stability for a chemostat-type model with delayed nutrient recycling

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 663 - 670, 2004

Zhiqi Lu - (email)

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137

Asymptotic properties of a delayed SIR epidemic model with density dependent birth rate

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 671 - 678, 2004

Wanbiao Ma - (email), Yasuhiro Takeuchi - (email)

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138

Periodic solutions of a discrete nonautonomous Lotka-Volterra predator-prey model with time delays

Discrete and Continuous Dynamical Systems - Series B  Volume 4, Issue 3, Pages : 823 - 831, 2004

Rui Xu - (email), M.A.J. Chaplain - (email), F.A. Davidson - (email)

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139

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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140

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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141

Asymptotic behavior of solutions of time-delayed Burgers' equation

Discrete and Continuous Dynamical Systems - Series B  Volume 2, Issue 1, Pages : 47 - 56, 2001

Weijiu Liu - (email)

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142

Oscillation death in systems of oscillators with transferable coupling and time-delay

Discrete and Continuous Dynamical Systems  Volume 7, Issue 4, Pages : 737 - 745, 2001

Ming He - (email), Xiaoyun Ma - (email), Weijiang Zhang - (email)

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