Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey

doi:10.1007/s12190-018-1201-0

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	Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey
	Meng, Xin-You; Huo, Hai-Feng; Zhang, Xiao-Bing
刊名	Journal of Applied Mathematics and Computing
	2019-06-01
卷号	60 期号:1-2 页码:1-25
关键词	Differential equations Ecology Predator prey systems Bifurcation parameter Center manifold theorem Functional differential equations Global continuations Global hopf bifurcations Predator- preys Predator-prey modeling Stage structure
ISSN号	15985865
DOI	10.1007/s12190-018-1201-0
英文摘要	This paper is concerned with a predator-prey model with Leslie–Gower functional response and stage structure for prey. By regarding time delay as the bifurcation parameter, sufficient conditions for the local stability of the positive equilibrium and the existence of Hopf bifurcation are given. Some explicit formulas determining the properties of Hopf bifurcation are established by using the normal form method and center manifold theorem. The global continuation of periodic solutions bifurcating from the positive equilibrium is given due to a global Hopf bifurcation result for functional differential equations. Finally, numerical simulations are carried out to show consistency with theoretical analysis. © 2018, Korean Society for Computational and Applied Mathematics.
WOS研究方向	Mathematics
语种	英语
出版者	Springer Verlag
WOS记录号	WOS:000468534700001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150472]
专题	理学院学科建设与学位办公室
作者单位	School of Science, Lanzhou University of Technology, Lanzhou; Gansu; 730050, China
推荐引用方式 GB/T 7714	Meng, Xin-You,Huo, Hai-Feng,Zhang, Xiao-Bing. Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey[J]. Journal of Applied Mathematics and Computing,2019,60(1-2):1-25.
APA	Meng, Xin-You,Huo, Hai-Feng,&Zhang, Xiao-Bing.(2019).Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey.Journal of Applied Mathematics and Computing,60(1-2),1-25.
MLA	Meng, Xin-You,et al."Stability and global Hopf bifurcation in a Leslie–Gower predator-prey model with stage structure for prey".Journal of Applied Mathematics and Computing 60.1-2(2019):1-25.