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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
2019-06
发表期刊JOURNAL OF APPLIED MATHEMATICS AND COMPUTING
ISSN1598-5865
卷号60期号:1-2页码:1-25
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.
关键词Global Hopf bifurcation Leslie-Gower Stage structure Predator-prey
DOI10.1007/s12190-018-1201-0
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收录类别SCI
语种英语
资助项目National Natural Science Foundation of China[1661050][11461041] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology[Q201308]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000468534700001
出版者SPRINGER HEIDELBERG
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被引频次:14[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://ir.lut.edu.cn/handle/2XXMBERH/56500
专题理学院
学科建设与学位办公室
通讯作者Meng, Xin-You
作者单位Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位理学院
通讯作者单位理学院
第一作者的第一单位理学院
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.
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