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Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge 期刊论文
NONLINEAR DYNAMICS, 2019, 卷号: 97, 期号: 2, 页码: 1439-1450
Authors:  Zhou, Yong;  Sun, Wen;  Song, Yinfang;  Zheng, Zhigang;  Lu, Jinhu;  Chen, Shihua
Favorite  |  View/Download:14/0  |  Submit date:2020/01/10
Holling-II type  Refuge  Hopf bifurcation  The largest Lyapunov exponent  
Concentration and limit behaviors of stationary measures 期刊论文
PHYSICA D-NONLINEAR PHENOMENA, 2018, 卷号: 369, 页码: 1-17
Authors:  Huang, Wen;  Ji, Min;  Liu, Zhenxin;  Yi, Yingfei
Favorite  |  View/Download:22/0  |  Submit date:2018/07/30
Fokker-Planck equation  Stationary measure  Limit measure  Concentration  Stochastic stability  White noise perturbation  
Periodicity induced by state feedback controls and driven by disparate dynamics of a herbivore-plankton model with cannibalism 期刊论文
NONLINEAR DYNAMICS, 2017, 卷号: 90, 期号: 4, 页码: 2657-2672
Authors:  Fang, Dandan;  Pei, Yongzhen;  Lv, Yunfei;  Chen, Lansun
Favorite  |  View/Download:28/0  |  Submit date:2018/07/30
State feedback control  Periodic solution  Bifurcation  Perturbed system  B-convergent  Homoclinic cycle  Rotated vector fields  
A kind of non-traditional biomanipulation model with constant releasing fish 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 13, 页码: 4727-4737
Authors:  Guo, Hongjian;  Chen, Lansun;  Song, Xinyu
Favorite  |  View/Download:10/0  |  Submit date:2018/07/30
ecological ecosystem model  biological control  extinction  permanence  stability  
PSEUDO-PERIODIC SOLUTIONS OF A NEW HYPERCHAOTIC SYSTEM USING THE AVERAGING THEORY 期刊论文
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2017, 卷号: 18, 期号: 2, 页码: 138-143
Authors:  Li, Xin
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
hyperchaotic system  zero-Hopf bifurcation  averaging theory  pseudo-periodic solutions  
Hopf bifurcation control of the M-L neuron model with type I 期刊论文
NONLINEAR DYNAMICS, 2017, 卷号: 87, 期号: 2, 页码: 755-766
Authors:  Huang, Chunli;  Sun, Wen;  Zheng, Zhigang;  Lu, Jinhu;  Chen, Shihua
Favorite  |  View/Download:22/0  |  Submit date:2018/07/30
Morris-Lecar model  Hopf bifurcation control  Washout filter  Neural diseases  
Bifurcation and Chaos of a Discrete-Time Mathematical Model for Tissue Inflammation 期刊论文
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2016, 卷号: 28, 期号: 1, 页码: 281-299
Authors:  Chen, Xianwei;  Yuan, Shaoliang;  Jing, Zhujun;  Fu, Xiangling
Favorite  |  View/Download:11/0  |  Submit date:2018/07/30
Tissue inflammation  Fold bifurcation  Flip bifurcation  Hopf bifurcation  Marotto's chaos  
Hopf Bifurcation in a New Four-Dimensional Hyperchaotic System 期刊论文
COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 卷号: 64, 期号: 2, 页码: 197-202
Authors:  Li Xin;  Yan Zhen-Ya
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
hyperchaotic system  Hopf bifurcation  the first Lyapunov coefficient  
Stripe and Spot Patterns in a Gierer-Meinhardt Activator-Inhibitor Model with Different Sources 期刊论文
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 卷号: 25, 期号: 8, 页码: 16
Authors:  Wang, Jinliang;  Hou, Xiaojie;  Jing, Zhujun
Favorite  |  View/Download:8/0  |  Submit date:2018/07/30
Hopf bifurcation  Turing instability  stability  spatial and temporal pattern  
Complex Dynamics in a Discrete-time Predator-prey System without Allee Effect 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 卷号: 29, 期号: 2, 页码: 355-376
Authors:  Chen Xianwei;  Fu Xiangling;  Jing ZhuJun
Favorite  |  View/Download:0/0  |  Submit date:2021/01/14
STATE-FEEDBACK CONTROL  DELAYS  CHAOS  MODEL  BIFURCATION  BEHAVIORS  STABILITY  CYCLES  predator-prey system  flip bifurcation  Hopf bifurcation  Marotto's chaos  transient chaos