DYNAMICAL ANALYSIS OF A DIFFUSIVE SIRS MODEL WITH GENERAL INCIDENCE RATE

被引：12
作者：
Yang, Yu [1 ]
Zou, Lan [2 ]
Zhang, Tonghua [3 ]
Xu, Yancong [4 ]
机构：
[1] Shanghai Lixin Univ Accounting & Finance, Sch Stat & Math, Shanghai 201209, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia
[4] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 07期
基金：
中国国家自然科学基金;
关键词：
General incidence; spatial heterogeneity; uniform persistence; global stability; INFECTIOUS-DISEASE MODELS; NONLINEAR INCIDENCE RATE; GLOBAL WELL-POSEDNESS; EPIDEMIC MODEL; THRESHOLD DYNAMICS; SUPERINFECTING VIRIONS; TRANSMISSION DYNAMICS; INCUBATION PERIOD; STEADY-STATES; LATENT PERIOD;
D O I：
10.3934/dcdsb.2020017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a diffusive SIRS model with general incidence rate and spatial heterogeneity. The formula of the basic reproduction number R-0 is given. Then the threshold dynamics, including globally attractive of the disease-free equilibrium and uniform persistence, are established in terms of R-0. Special cases and numerical simulations are presented to support our main results.
引用
收藏
页码：2433 / 2451
页数：19
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