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Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response

文献类型：期刊论文

作者Zhang, Meng1,3; Chen, Lansun4; Li, Zeyu2
刊名NONLINEAR DYNAMICS
出版日期2019-10-01
卷号98期号:2页码:929-942
关键词State feedback Impulsive model Homoclinic bifurcation Order-1 periodic solution
ISSN号0924-090X
DOI10.1007/s11071-019-05235-8
英文摘要Keeping ecological balance between prey and predator population in ocean fishery is of great importance in fishery. A free developed two species prey-predator model with Holling-II functional response is carried out, and its fine case equilibrium is discussed. Then, the state feedback model which assumes the harvest of predator and supplement of prey as impulsive disturbance is presented to find the dynamical balance between prey and predator population. The existence of homoclinic cycle and order-1 periodic solution and the orbital asymptotical stability of the order-1 periodic solution are proved. Finally, some numerical simulations are displayed to confirm the results obtained in the paper.
WOS研究方向Engineering ; Mechanics
语种英语
WOS记录号WOS:000496808000005
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50383]  
专题中国科学院数学与系统科学研究院
通讯作者Zhang, Meng
作者单位1.Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
2.Beijing Technol & Business Univ, Canvard Coll, Beijing 101118, Peoples R China
3.Beijing Univ Civil Engn & Architecture, Sch Sci, Beijing 100044, Peoples R China
4.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式
GB/T 7714		 Zhang, Meng,Chen, Lansun,Li, Zeyu. Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response[J]. NONLINEAR DYNAMICS,2019,98(2):929-942.
APA Zhang, Meng,Chen, Lansun,&Li, Zeyu.(2019).Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response.NONLINEAR DYNAMICS,98(2),929-942.
MLA Zhang, Meng,et al."Homoclinic bifurcation of a state feedback impulsive controlled prey-predator system with Holling-II functional response".NONLINEAR DYNAMICS 98.2(2019):929-942.

入库方式： OAI收割

来源：数学与系统科学研究院

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