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
相关论文
共 50 条
  • [1] A reaction–diffusion SIS epidemic model in an almost periodic environment
    Bin-Guo Wang
    Wan-Tong Li
    Zhi-Cheng Wang
    [J]. Zeitschrift für angewandte Mathematik und Physik, 2015, 66 : 3085 - 3108
  • [2] A reaction-diffusion SIS epidemic model in a time-periodic environment
    Peng, Rui
    Zhao, Xiao-Qiang
    [J]. NONLINEARITY, 2012, 25 (05) : 1451 - 1471
  • [3] A reaction-diffusion epidemic model with incubation period in almost periodic environments
    Qiang, Lizhong
    Wang, Bin-Guo
    Wang, Zhi-Cheng
    [J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2021, 32 (06) : 1153 - 1176
  • [4] An SIS epidemic reaction-diffusion model with spontaneous infection in a spatially heterogeneous environment
    Tong, Yachun
    Lei, Chengxia
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2018, 41 : 443 - 460
  • [5] Results for a Control Problem for a SIS Epidemic Reaction-Diffusion Model
    Coronel, Anibal
    Huancas, Fernando
    Lozada, Esperanza
    Rojas-Medar, Marko
    [J]. SYMMETRY-BASEL, 2023, 15 (06):
  • [6] DYNAMICS OF AN SIS REACTION-DIFFUSION EPIDEMIC MODEL FOR DISEASE TRANSMISSION
    Huang, Wenzhang
    Han, Maoan
    Liu, Kaiyu
    [J]. MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2010, 7 (01) : 51 - 66
  • [7] Basic reproduction ratios for almost periodic reaction-diffusion epidemic models
    Wang, Bin-Guo
    Xin, Ming-Zhen
    Huang, Shunxiang
    Li, Jing
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 352 : 189 - 220
  • [8] Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model
    Allen, L. J. S.
    Bolker, B. M.
    Lou, Y.
    Nevai, A. L.
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2008, 21 (01) : 1 - 20
  • [9] Global stability of the steady states of an SIS epidemic reaction-diffusion model
    Peng, Rui
    Liu, Shengqiang
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 239 - 247
  • [10] A reaction-diffusion SIS epidemic model with saturated incidence rate and logistic source
    Huo, Xin
    Cui, Renhao
    [J]. APPLICABLE ANALYSIS, 2022, 101 (13) : 4492 - 4511
12345