A reaction-diffusion SIS epidemic model in an almost periodic environment

被引：21
|
作者：
Wang, Bin-Guo [1 ]
Li, Wan-Tong [1 ]
Wang, Zhi-Cheng [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2015年 / 66卷 / 06期
关键词：
Reaction-diffusion; Almost periodicity; Epidemic model; Basic reproduction ratio; Threshold dynamics; ASYMPTOTIC PROFILES; STEADY-STATES; SPATIAL SPREAD; DYNAMICS; THRESHOLD; DISEASES; RABIES; RATES;
D O I：
10.1007/s00033-015-0585-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A susceptible-infected-susceptible almost periodic reaction-diffusion epidemic model is studied by means of establishing the theories and properties of the basic reproduction ratio . Particularly, the asymptotic behaviors of with respect to the diffusion rate of the infected individuals are obtained. Furthermore, the uniform persistence, extinction and global attractivity are presented in terms of . Our results indicate that the interaction of spatial heterogeneity and temporal almost periodicity tends to enhance the persistence of the disease.
引用
收藏
页码：3085 / 3108
页数：24
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