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

Autor:	Xin-You Meng, Ni-Ni Qin, Hai-Feng Huo
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	predator–prey time delay hopf bifurcation optimal harvesting policy Environmental sciences GE1-350 Biology (General) QH301-705.5
Zdroj:	Journal of Biological Dynamics, Vol 12, Iss 1, Pp 342-374 (2018)
Druh dokumentu:	article
ISSN:	1751-3758 1751-3766 17513758
DOI:	10.1080/17513758.2018.1454515
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e7ba90d55161475cb866c42c44197640 Zobrazit plný text záznamu View record in DOAJ