Asymptotic behavior of an SIS reaction–diffusion–advection model with saturation and spontaneous infection mechanism
Asymptotic behavior of an SIS reaction–diffusion–advection model with saturation and spontaneous infection mechanism
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DOI：
10.1007/s00033-020-01375-9
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发表时间：
2020-08
期刊：
影响因子：
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通讯作者：
Jialiang Zhang;Renhao Cui
中科院分区：
文献类型：
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作者：
Jialiang Zhang;Renhao Cui
研究了一类具有饱和传染率和自发感染的反应-扩散-平流SIS传染病模型。建立了地方病平衡点的存在性。进一步分析了扩散、平流、饱和和自发感染对地方病平衡点渐近行为的影响。特别是平流作用可能引起集中现象，自发感染可增强传染病的持续性。
We study a reaction–diffusion–advection susceptible–infected–susceptible (SIS) epidemic model with saturated incidence rate and spontaneous infection. The existence of endemic equilibrium is established. We further analyze the effects of diffusion, advection, saturation and spontaneous infection on the asymptotic behavior of endemic equilibrium. In particular it is shown that advection may cause the concentration phenomenon and spontaneous infection can enhance persistence of infectious disease.