Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps

doi:10.3934/mbe.2021071

CORC > 兰州理工大学 > 兰州理工大学

	Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps
	Lv, Long 1; Yao, Xiao-Juan 2
刊名	MATHEMATICAL BIOSCIENCES AND ENGINEERING
	2021
卷号	18 期号:2 页码:1352-1369
关键词	nonautonomous stochastic S IS epidemic model Levy jumps Lyapunov function T-periodic solution Extinction and persistence
ISSN号	1547-1063
DOI	10.3934/mbe.2021071
英文摘要	In this paper, we study a nonautonomous stochastic SIS epidemic model with Levy jumps. We first establish that this model has a unique global positive solution with the positive initial condition. Then, we investigate the condition for extinction of the disease. Moreover, by constructing suitable stochastic Lyapunov function, su fficient conditions for persistence and existence of Nontrivial T-periodic solution of system are obtained. Finally, numerical simulations are also presented to illustrate the main results.
WOS研究方向	Mathematical & Computational Biology
语种	英语
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
WOS记录号	WOS:000656821600009
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/148761]
专题	兰州理工大学
作者单位	1.Lanzhou Univ Technol, Coll Technol & Engn, Sch Gen Educ, Lanzhou 730050, Gansu, Peoples R China; 2.1 Middle Sch Lanzhou, Lanzhou 730030, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Lv, Long,Yao, Xiao-Juan. Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2021,18(2):1352-1369.
APA	Lv, Long,&Yao, Xiao-Juan.(2021).Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps.MATHEMATICAL BIOSCIENCES AND ENGINEERING,18(2),1352-1369.
MLA	Lv, Long,et al."Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Levy jumps".MATHEMATICAL BIOSCIENCES AND ENGINEERING 18.2(2021):1352-1369.