DYNAMICS OF A NONLOCAL DISPERSAL FOOT-AND-MOUTH DISEASE MODEL IN A SPATIALLY HETEROGENEOUS ENVIRONMENT |
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作者姓名: | 王晓燕 杨俊元 |
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作者单位: | School of Information;Complex Systems Research Center |
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基金项目: | 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). |
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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 R0is defined as the spectral radius of the next generation operator R(x)by a renewal equation.The relationship between R0and a principal eigenvalue of an operator L0is built.Moreover,the proposed system exhibits threshold dynamics in terms of R0,in the sense that R0determines 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.
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关 键 词: | Nonlocal diffusion nonlocal infection the basic reproduction number COMPACTNESS |
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