Hopf bifurcation and stability in predator-prey model with a stage-structure for prey

doi:10.1016/j.amc.2013.04.003

	Hopf bifurcation and stability in predator-prey model with a stage-structure for prey
	Sun, Xiao-Ke 1; Huo, Hai-Feng2 ; Ma, Cao-Chuan 1
	2013-06-15
发表期刊	Applied Mathematics and Computation
ISSN	00963003
卷号	219 期号:20 页码:10313-10324
摘要	A predator-prey system with B-D functional response and stage-structure for prey is presented. In the (d - τ) plane, the regions of stability and Hopf bifurcation are found by analyzing the associated characteristic transcendental equation. Further, global stability of equilibria are studied by using comparison theorem. Some numerical simulations are also given to illustrate our results. © 2013 Elsevier Inc. All rights reserved.
关键词	Convergence of numerical methods Ecosystems Predator prey systems Stability Time delay Comparison theorem Functional response Global stability Predator-prey modeling Stage structure Transcendental equations
DOI	10.1016/j.amc.2013.04.003
收录类别	EI ; SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000319499800018
出版者	Elsevier Inc.
EI入藏号	20140617267324
EI主题词	Hopf bifurcation
EI分类号	454.3 Ecology and Ecosystems ; 713 Electronic Circuits ; 921 Mathematics ; 921.6 Numerical Methods ; 931 Classical Physics ; Quantum Theory ; Relativity ; 961 Systems Science
引用统计	被引频次：9[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/150446
专题	学科建设与学位办公室
通讯作者	Huo, Hai-Feng
作者单位	1.Tianshui Normal Univ, Sch Math & Stat, Tianshui 741001, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China
通讯作者单位	理学院
推荐引用方式 GB/T 7714	Sun, Xiao-Ke,Huo, Hai-Feng,Ma, Cao-Chuan. Hopf bifurcation and stability in predator-prey model with a stage-structure for prey[J]. Applied Mathematics and Computation,2013,219(20):10313-10324.
APA	Sun, Xiao-Ke,Huo, Hai-Feng,&Ma, Cao-Chuan.(2013).Hopf bifurcation and stability in predator-prey model with a stage-structure for prey.Applied Mathematics and Computation,219(20),10313-10324.
MLA	Sun, Xiao-Ke,et al."Hopf bifurcation and stability in predator-prey model with a stage-structure for prey".Applied Mathematics and Computation 219.20(2013):10313-10324.