Dynamics of a Food Chain Model with Two Infected Predators

doi:10.1142/S021812742150019X

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	Dynamics of a Food Chain Model with Two Infected Predators
	Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
刊名	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
	2021
卷号	31 期号:2
关键词	Food chain backward and forward bifurcation Hopf bifurcation global stability Pontryagin's maximum principle
ISSN号	0218-1274
DOI	10.1142/S021812742150019X
英文摘要	In this paper, the dynamics of a three-species food chain model with two predators infected by an infectious disease is investigated. The positivity and boundedness of the system, the existence of the equilibria and the basic reproductive number are given. Sufficient conditions for the local stability of all equilibria are obtained by analyzing the corresponding characteristic equations. By constructing suitable Lyapunov functions and taking the geometric approach, the global stability of all equilibria is proved. According to the center manifold theory, this model undergoes the phenomenon of backward and forward bifurcations in a certain range of the basic reproductive number R0. By taking the disease transmission coefficient of predator as bifurcation parameter, Hopf bifurcation emerges in the neighborhood of the endemic equilibrium. Furthermore, the optimal control of the disease is discussed by the Pontryagin's maximum principle. Various simulations are given to support the analytical results.
WOS研究方向	Mathematics ; Science & Technology - Other Topics
语种	英语
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
WOS记录号	WOS:000624901800005
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147469]
专题	理学院学科建设与学位办公室
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Meng, Xin-You,Qin, Ni-Ni,Huo, Hai-Feng. Dynamics of a Food Chain Model with Two Infected Predators[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2021,31(2).
APA	Meng, Xin-You,Qin, Ni-Ni,&Huo, Hai-Feng.(2021).Dynamics of a Food Chain Model with Two Infected Predators.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,31(2).
MLA	Meng, Xin-You,et al."Dynamics of a Food Chain Model with Two Infected Predators".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 31.2(2021).