ASYMPTOTIC PROFILES OF ENDEMIC EQUILIBRIUM OF A DIFFUSIVE SIS EPIDEMIC SYSTEM WITH NONLINEAR INCIDENCE FUNCTION IN A HETEROGENEOUS ENVIRONMENT

被引：10

作者：

Li, Bo ^{[1
]}

Zhou, Jialin ^{[1
]}

Zhou, Xinhui ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 10期

关键词：

A diffusive epidemic system; asymptotic profiles; heterogeneous environment; equilibria; a priori estimates; GLOBAL STABILITY; STEADY-STATES; QUALITATIVE-ANALYSIS; MODEL; DYNAMICS; INFECTION; FREQUENCY;

D O I：

10.1090/proc/15117

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an SIS epidemic reaction-diffusion system with nonlinear incidence function of the form (SIp)-I-q (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.

引用

页码：4445 / 4453

页数：9

共 31 条

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[6] ASYMPTOTIC PROFILES OF THE ENDEMIC EQUILIBRIUM OF A REACTION-DIFFUSION-ADVECTION SIS EPIDEMIC MODEL WITH SATURATED INCIDENCE RATE
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[9] A DIFFUSIVE SIS EPIDEMIC MODEL INCORPORATING THE MEDIA COVERAGE IMPACT IN THE HETEROGENEOUS ENVIRONMENT
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[10] THEORETICAL ANALYSIS ON A DIFFUSIVE SIR EPIDEMIC MODEL WITH NONLINEAR INCIDENCE IN A HETEROGENEOUS ENVIRONMENT
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