Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay

doi:10.3934/math.2022352

	Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay
	Guo, Jinsheng 1; Wang, Shuang-Ming2,3
	2022
发表期刊	AIMS MATHEMATICS
卷号	7 期号:4 页码:6331-6355
摘要	In this paper, a two-strain SIRS epidemic model with distributed delay and spatiotemporal heterogeneity is proposed and investigated. We first introduce the basic reproduction number R-0(i) and the invasion number (R) over cap (i)(0) (i = 1; 2) for each strain i. Then the threshold dynamics of the model is established in terms of (R) over cap (i)(0) and (R) over cap (i)(0) by using the theory of chain transitive sets and persistence. It is shown that if (R) over cap (i)(0) > 1 (i = 1; 2), then the disease in two strains is persist uniformly; if (R) over cap (i)(0) > 1 >= R-0(j) (i not equal j; i; j = 1; 2), then the disease in i-th strain is uniformly persist, but the disease in j-th strain will disappear; if R-0(i) < 1 or <(R)over cap>(i)(0) ? 1 (i = 1; 2) and beta(x; t) > 0, then the disease in two strains will disappear.
关键词	SIRS epidemic model spatiotemporal heterogeneity distributed delay threshold dynamics
DOI	10.3934/math.2022352
收录类别	SCIE
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000747450100006
出版者	AMER INST MATHEMATICAL SCIENCES-AIMS
原始文献类型	Article
EISSN	2473-6988
引用统计	被引频次：1[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/32017
专题	信息工程与人工智能学院
作者单位	1.Hexi Univ, Sch Math & Stat, Zhangye 734000, Gansu, Peoples R China; 2.Lanzhou Univ Finance & Econ, Sch Informat Engn, Key Lab Commerce Technol & Applicat Gansu Prov, Lanzhou 730020, Gansu, Peoples R China; 3.Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Guo, Jinsheng,Wang, Shuang-Ming. Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay[J]. AIMS MATHEMATICS,2022,7(4):6331-6355.
APA	Guo, Jinsheng,&Wang, Shuang-Ming.(2022).Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay.AIMS MATHEMATICS,7(4),6331-6355.
MLA	Guo, Jinsheng,et al."Threshold dynamics of a time-periodic two-strain SIRS epidemic model with distributed delay".AIMS MATHEMATICS 7.4(2022):6331-6355.