Asymptotic profiles of endemic equilibrium of a diffusive SIS epidemic system with nonlinear incidence function in a heterogeneous environment,Proceedings of the American Mathematical Society

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Asymptotic profiles of endemic equilibrium of a diffusive SIS epidemic system with nonlinear incidence function in a heterogeneous environment
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15117
Bo Li , Jialin Zhou , Xinhui Zhou

Abstract:We consider an SIS epidemic reaction-diffusion system with nonlinear incidence function of the form $S^qI^p\ (0<p<1,\,q>0)$ whose total population number is conserved all the time. We establish the asymptotic behavior of endemic equilibrium with respect to small mobility of either the susceptible or infected population. In comparison with the findings of X. Wen, J. Ji, and B. Li; and Y. Wu and X. Zou for the SIS model with the bilinear incidence function, our results show that a nonlinear incidence mechanism may enhance the disease persistence provided that the total population number is small and the mobility of the susceptible population is controlled to be small.

中文翻译：

异质环境下具有非线性入射函数的扩散SIS传染病系统局部均衡的渐近分布

摘要：我们考虑一个具有非线性入射函数的SIS流行病反应扩散系统，该系统的总种群数一直保持不变。我们建立了相对于易感人群或感染人群的小型流动性的地方均衡的渐近行为。与X. Wen，J。Ji和B. Li的发现相比；对于具有双线性发病率函数的SIS模型，Y。Wu和X. Zou的研究结果表明，只要总人口少且易感人群的活动性受到控制，非线性发病机制可能会增强疾病的持久性。小。 $S ^ qI ^ p \（0 <p <1，\，q> 0）$

更新日期：2020-08-20

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