Modeling and analyzing the effects of fixed-time intervention on transmission dynamics of echinococcosis in Qinghai province

doi:10.1002/mma.7029

CORC > 兰州理工大学 > 兰州理工大学 > 理学院

	Modeling and analyzing the effects of fixed-time intervention on transmission dynamics of echinococcosis in Qinghai province
	Zhang, Yunhu 1,2; Xiao, Yanni 2
刊名	Mathematical Methods in the Applied Sciences
	2021-04-01
卷号	44 期号:6 页码:4276-4296
关键词	Cell proliferation Dynamics Transmissions Basic reproduction number Contaminated environment Control and prevention Environmental hygienes Globally asymptotical stabilities Periodic transmission Transmission dynamics Uniform persistence
ISSN号	0170-4214
DOI	10.1002/mma.7029
英文摘要	In this study, we propose a mathematical model with periodic transmission and impulsive interventions to describe the transmission dynamics of echinococcosis in multiple hosts and to explore the efficacy of control and prevention measures. Our model includes the life cycle of Echinococcus in dog population (stray dogs and domestic dogs), contaminated environment, and human population to gain new biological insight. Note that different control strategies on stray and domestic dog populations may lead to inconsistency in the impulsive periods and system itself period, which brings great challenges in analyzing the proposed periodic system with multiple pulses. We theoretically examined the threshold dynamics, uniform persistence of disease on the basis of basic reproduction number. In particular, we define the basic reproduction number for stray and domestic dog population and obtain the globally asymptotical stability of the disease-free periodic solutions. We further obtain that echinococcosis may persist in human population if it persists in any dog population. Numerical simulations show that increasing the delivery rate and frequency of anthelmintics in domestic dogs and increasing the culling intensity and frequency in wild dogs could greatly reduce the disease incidence in two populations, respectively. The findings suggest that culling measures on wild dog population and environmental hygiene are crucial strategies in the control of the spread of echinococcosis in human being. © 2020 John Wiley & Sons, Ltd.
WOS研究方向	Mathematics
语种	英语
出版者	John Wiley and Sons Ltd
WOS记录号	WOS:000592330300001
内容类型	期刊论文
源URL	[http://ir.lut.edu.cn/handle/2XXMBERH/147728]
专题	理学院
作者单位	1.School of Science, Lanzhou University of Technology, Lanzhou; 730050, China 2.Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an; 710049, China;
推荐引用方式 GB/T 7714	Zhang, Yunhu,Xiao, Yanni. Modeling and analyzing the effects of fixed-time intervention on transmission dynamics of echinococcosis in Qinghai province[J]. Mathematical Methods in the Applied Sciences,2021,44(6):4276-4296.
APA	Zhang, Yunhu,&Xiao, Yanni.(2021).Modeling and analyzing the effects of fixed-time intervention on transmission dynamics of echinococcosis in Qinghai province.Mathematical Methods in the Applied Sciences,44(6),4276-4296.
MLA	Zhang, Yunhu,et al."Modeling and analyzing the effects of fixed-time intervention on transmission dynamics of echinococcosis in Qinghai province".Mathematical Methods in the Applied Sciences 44.6(2021):4276-4296.