Analysis of a three species eco-epidemiological model

CSpace

	Analysis of a three species eco-epidemiological model
	Xiao, YN; Chen, LS
	2001-06-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	258 期号:2 页码:733-754
摘要	This paper formulates and analyzes a predator-prey model with disease in the prey. Mathematical analyses of the model equations with regard to invariance of nonnegativity, boundedness of solutions, nature of equilibria, permanence, and global stability are analyzed. It is also shown that for some parameter values, the positive equilibrium is asymptotically stable, but for other parameter values, it is unstable and a surrounding periodic solution appears by Hopf bifurcation. A concluding discussion with numerical simulation is then presented. (C) 2001 Academic Press.
关键词	predator-prey model global stability permanence Hopf bifurcation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000169264300024
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16145
专题	中国科学院数学与系统科学研究院
通讯作者	Xiao, YN
作者单位	Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xiao, YN,Chen, LS. Analysis of a three species eco-epidemiological model[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2001,258(2):733-754.
APA	Xiao, YN,&Chen, LS.(2001).Analysis of a three species eco-epidemiological model.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,258(2),733-754.
MLA	Xiao, YN,et al."Analysis of a three species eco-epidemiological model".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 258.2(2001):733-754.