EPIDEMIC REACTION-DIFFUSION SYSTEMS WITH TWO TYPES OF BOUNDARY CONDITIONS
EPIDEMIC REACTION-DIFFUSION SYSTEMS WITH TWO TYPES OF BOUNDARY CONDITIONS
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发表时间：
2018
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通讯作者：
Li Kehua;Li Jiemei;Wei Wang
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作者：
Li Kehua;Li Jiemei;Wei Wang
研究了一类具有两种不同边界条件的传染病反应扩散系统。对于具有Neumann边界条件的问题，全局动力学完全由基本再生数R0决定。对于自由边界条件的问题，只要基本再生数R0 1和初始感染半径g0适当大，疾病就会消失。结果表明，除基本再生数外，初始流行区的大小和疾病的扩散率对疾病传播也有重要影响。
We investigate an epidemic reaction-diffusion system with two different types of boundary conditions. For the problem with the Neumann boundary condition, the global dynamics is fully determined by the basic reproduction number R0. For the problem with the free boundary condition, the disease will vanish if the basic reproduction number R0 1 and the initial infected radius g0 is suitably large. Main results reveal that besides the basic reproduction number, the size of initial epidemic region and the diffusion rates of the disease also have an important influence to the disease transmission.