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.
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页码：715 / 733
页数：19
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