A spatial SIS model with Holling II incidence rate

被引：4
|
作者：
Xie, Wenhao [1 ,2 ]
Liang, Gongqian [1 ]
Wang, Wei [2 ]
She, Yanhong [2 ]
机构：
[1] Northwestern Polytech Univ, Sch Management, Xian 710129, Shaanxi, Peoples R China
[2] Xian Shiyou Univ, Sch Sci, Xian 710065, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2019年 / 12卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Diffusive SIS epidemic model; Holling II; stability; existence; asymptotic profile; POSITIVE STEADY-STATE; ASYMPTOTIC PROFILES; GLOBAL STABILITY; EPIDEMIC MODEL; DIFFUSION;
D O I：
10.1142/S179352451950092X
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A diffusive SIS epidemic model with Holling II incidence rate is studied in this paper. We introduce the basic reproduction number R-0 first. Then the existence of endemic equilibrium (EE) can be determined by the sizes of R-0 as well as the diffusion rates of susceptible and infected individuals. We also investigate the effect of diffusion rates on asymptotic profile of EE. Our results conclude that the infected population will die out if the diffusion rate of susceptible individuals is small and the total population N is below a certain level; while the two populations persist eventually if at least one of the diffusion rates of the susceptible and infected individuals is large.
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页数：27
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