摘要
Foot-and-mouth disease is one of the major contagious zoonotic diseases in the world.It is caused by various species of the genus Aphthovirus of the family Picornavirus,and it always brings a large number of infections and heavy financial losses.The disease has become a major public health concern.In this paper,we propose a nonlocal foot-and-mouth disease model in a spatially heterogeneous environment,which couples virus-to-animals and animals-to-animals transmission pathways,and investigate the dynamics of the disperal.The basic reproduction number R_(0)is defined as the spectral radius of the next generation operator R(x)by a renewal equation.The relationship between R_(0)and a principal eigenvalue of an operator L_(0)is built.Moreover,the proposed system exhibits threshold dynamics in terms of R_(0),in the sense that R_(0)determines whether or not foot-and-mouth disease invades the hosts.Through numerical simulations,we have found that increasing animals'movements is an effective control measure for preventing prevalence of the disease.
作者
王晓燕
杨俊元
Xiaoyan WANG;Junyuan YANG(School of Information,Shanxi University of Finance and Economics,Taiyuan 030006,China;Complex Systems Research Center,Shanxi University,Taiyuan 030006,China)
基金
supported by the National Natural Science Foundation of China(12001339,61573016,11871316)
Shanxi Scholarship Council of China(2015-094)
the Natural Science Foundation of Shanxi(201801D121006)
the Shanxi Province Science Foundation for Youths(201901D211413).