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
	2021-02
发表期刊	INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN	0218-1274
卷号	31 期号:2
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.
关键词	Food chain backward and forward bifurcation Hopf bifurcation global stability Pontryagin's maximum principle
DOI	10.1142/S021812742150019X
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics ; Science & Technology - Other Topics
WOS类目	Mathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS记录号	WOS:000624901800005
出版者	WORLD SCIENTIFIC PUBL CO PTE LTD
EI入藏号	20211010019464
EI主题词	Hopf bifurcation
EI分类号	921 Mathematics
来源库	WOS
引用统计	被引频次：8[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/147469
专题	理学院学科建设与学位办公室
通讯作者	Meng, Xin-You
作者单位	Lanzhou Univ Technol, Sch Sci, Lanzhou 730050, Gansu, Peoples R China
第一作者单位	理学院
通讯作者单位	理学院
第一作者的第一单位	理学院
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).

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