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-Feng 2; Ma, Cao-Chuan 1
刊名	Applied Mathematics and Computation
	2013-06-15
卷号	219 期号:20 页码:10313-10324
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
ISSN号	00963003
DOI	10.1016/j.amc.2013.04.003
英文摘要	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.
WOS研究方向	Mathematics
语种	英语
出版者	Elsevier Inc.
WOS记录号	WOS:000319499800018
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150446]
专题	学科建设与学位办公室
作者单位	1.School of Mathematics and Statistics, Tianshui Normal University, Tianshui, Cansu 741001, China; 2.Institute of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Cansu 730050, China
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.