@Article{CSIAM-AM-1-277,
author = {Li , FengJin , ZhenZhang , JuanY. Li , Michael and Wang , Youming},
title = {Dynamical Analysis of Transmission Model of the Cattle Foot-and-Mouth Disease},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2020},
volume = {1},
number = {2},
pages = {277--295},
abstract = {<p style="text-align: justify;">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 $R$<sub>0</sub>. By
constructing the Lyapunov function, we prove the disease-free equilibrium is globally
asymptotically stable when $R$<sub>0</sub>&lt;1, and that of the unique endemic equilibrium when $R$<sub>0</sub>&gt;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.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2020-0011},
url = {http://global-sci.org/intro/article_detail/csiam-am/17178.html}
}