Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species

doi:10.1080/17513758.2018.1454515

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species
	Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
刊名	JOURNAL OF BIOLOGICAL DYNAMICS
	2018-04-04
卷号	12 期号:1 页码:342-374
关键词	Predator-prey time delay Hopf bifurcation optimal harvesting policy
ISSN号	1751-3758
DOI	10.1080/17513758.2018.1454515
英文摘要	In this paper, a predator-prey system with harvesting prey and disease in prey species is given. In the absence of time delay, the existence and stability of all equilibria are investigated. In the presence of time delay, some sufficient conditions of the local stability of the positive equilibrium and the existence of Hopf bifurcation are obtained by analysing the corresponding characteristic equation, and the properties of Hopf bifurcation are given by using the normal form theory and centre manifold theorem. Furthermore, an optimal harvesting policy is investigated by applying the Pontryagin's Maximum Principle. Numerical simulations are performed to support our analytic results.
资助项目	National Natural Science Foundation of China[11661050][11461041] ; Development Program for HongLiu Outstanding Young Teachers in Lanzhou University of Technology[Q201308]
WOS研究方向	Environmental Sciences & Ecology ; Mathematical & Computational Biology
语种	英语
出版者	TAYLOR & FRANCIS LTD
WOS记录号	WOS:000429233500001
状态	已发表
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32700]
专题	理学院学科建设与学位办公室
通讯作者	Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xin-You,Qin, Ni-Ni,Huo, Hai-Feng. Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species[J]. JOURNAL OF BIOLOGICAL DYNAMICS,2018,12(1):342-374.
APA	Meng, Xin-You,Qin, Ni-Ni,&Huo, Hai-Feng.(2018).Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species.JOURNAL OF BIOLOGICAL DYNAMICS,12(1),342-374.
MLA	Meng, Xin-You,et al."Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species".JOURNAL OF BIOLOGICAL DYNAMICS 12.1(2018):342-374.