On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model

doi:10.3934/mbe.2022038

	On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model
	Huo, Hai-Feng; Wu, Fan; Xiang, Hong
刊名	MATHEMATICAL BIOSCIENCES AND ENGINEERING
	2021
卷号	19 期号:1 页码:836-854
关键词	impulsive models time delay basic reproduction ratio swine parasitic disease threshold dynamics
ISSN号	1547-1063
DOI	10.3934/mbe.2022038
英文摘要	The basic reproduction ratio R-0 of more general periodic and time-delayed impulsive model which the period of model coefficients is different from that of fixed impulsive moments, is developed. That R-0 is the threshold parameter for the stability of the zero solution of the associated linear system is also shown. The developed theory is further applied to a swine parasitic disease model with pulse therapy. Threshold results on its global dynamics in terms of R-0 are obtained. Some numerical simulation results are also given to support our 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:000725509800007
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/150018]
专题	学科建设与学位办公室理学院
作者单位	Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
推荐引用方式 GB/T 7714	Huo, Hai-Feng,Wu, Fan,Xiang, Hong. On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model[J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING,2021,19(1):836-854.
APA	Huo, Hai-Feng,Wu, Fan,&Xiang, Hong.(2021).On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model.MATHEMATICAL BIOSCIENCES AND ENGINEERING,19(1),836-854.
MLA	Huo, Hai-Feng,et al."On threshold dynamics for periodic and time-delayed impulsive systems and application to a periodic disease model".MATHEMATICAL BIOSCIENCES AND ENGINEERING 19.1(2021):836-854.