WAVE PROPAGATION FOR A DISCRETE DIFFUSIVE VACCINATION EPIDEMIC MODEL WITH BILINEAR INCIDENCE

被引：3
|
作者：
Zhang, Ran [1 ]
Liu, Shengqiang [2 ]
机构：
[1] Heilongjiang Univ, Sch Math Sci, Harbin 150080, Peoples R China
[2] Tiangong Univ, Sch Math Sci, Tianjin 300387, Peoples R China
来源：
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2023年 / 13卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Traveling wave solution; vaccination model; lattice dynamical system; Schauder?s fixed point theorem; Lyapunov functional; TRAVELING-WAVES; GLOBAL STABILITY; AGE;
D O I：
10.11948/20220040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of the current paper is to study the existence of traveling wave solutions for a vaccination epidemic model with bilinear incidence. The existence result is determined by the basic reproduction number R0. More specifically, the system admits nontrivial traveling wave solutions when R0 > 1 and c >= c*, where c* is the critical wave speed. We also found that the traveling wave solution is connecting two different equilibria by constructing Lyapunov functional. Lastly, we give some biological explanations from the perspective of epidemiology.
引用
收藏
页码：715 / 733
页数：19
相关论文
共 50 条
  • [21] TRAVELING WAVE SOLUTIONS FOR A DIFFUSIVE SIS EPIDEMIC MODEL
    Ding, Wei
    Huang, Wenzhang
    Kansakar, Siroj
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2013, 18 (05): : 1291 - 1304
  • [22] Traveling waves of a discrete diffusive waterborne pathogen model with general incidence
    Zhou, Jinling
    Yang, Yu
    Hsu, Cheng-Hsiung
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 126
  • [23] Traveling waves for a diffusive mosquito-borne epidemic model with general incidence
    Wang, Kai
    Zhao, Hongyong
    Wang, Hao
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2022, 73 (01):
  • [24] Traveling waves for a discrete diffusive SIR epidemic model with treatment
    Deng, Dong
    Zhang, Dongpei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
  • [25] Global stability in a diffusive cholera epidemic model with nonlinear incidence
    Chen, Xiaodan
    Cui, Renhao
    APPLIED MATHEMATICS LETTERS, 2021, 111
  • [26] Traveling wave solutions for a delayed diffusive SIR epidemic model with nonlinear incidence rate and external supplies
    Zhou, Kai
    Han, Maoan
    Wang, Qiru
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (07) : 2772 - 2783
  • [27] ANALYSIS OF AN SIRS EPIDEMIC MODEL WITH NONLINEAR INCIDENCE AND VACCINATION
    Li, Baolin
    Qin, Chunyang
    Wang, Xia
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2020,
  • [28] Asymptotic boundary and nonexistence of traveling waves in a discrete diffusive epidemic model
    Wei, Jingdong
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (02) : 163 - 170
  • [29] Epidemic waves in a discrete diffusive endemic model with treatment and external supplies
    Lu, Lei
    Qiao, Meihong
    Wang, Jia-Bing
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2023, 120
  • [30] Existence of traveling waves with the critical speed for a discrete diffusive epidemic model
    Wu, Chin-Chin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 262 (01) : 272 - 282
12345