Year: 2020
Author: Feng Li, Zhen Jin, Juan Zhang, Michael Y. Li, Youming Wang
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 277–295
Abstract
The epidemic of foot-and-mouth disease (FMD) in cattle remains particular concern in many countries or areas. The epidemic can spread by direct contact with the carrier and symptomatic animals, as well as indirect contact with the contaminated environment. The outbreak of FMD indicates that the infection initially spreads through the farm before spreading between farms. In this paper, considering the cattle population, we establish a dynamical model of FMD with two patches: within-farm and outside-farm, and give the formulae of the basic reproduction number $R$0. By constructing the Lyapunov function, we prove the disease-free equilibrium is globally asymptotically stable when $R$0<1, and that of the unique endemic equilibrium when $R$0>1. By numerical simulations, we confirm the global stability of equilibria. In addition, by carrying out the sensitivity analysis of the basic reproduction number on some parameters, we reach the conclusion that vaccination, quarantining or removing of the carrier and disinfection are the useful control measures for FMD at the large-scale cattle farm.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/csiam-am.2020-0011
CSIAM Transactions on Applied Mathematics, Vol. 1 (2020), Iss. 2 : pp. 277–295
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Foot and mouth disease carriers dynamical model environment transmission Lyapunov function.
Author Details
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