Traveling wave solutions for a discrete diffusive epidemic model with asymptomatic carriers

被引：1
|
作者：
Zhang, Ran [1 ]
Li, Dan [2 ]
Sun, Hongquan [3 ,4 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Dept Math, Nanjing 210016, Peoples R China
[2] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China
[3] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Peoples R China
[4] Jiujiang Univ, Sch Sci, Jiujiang 332005, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2023年 / 16卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Epidemic model; traveling wave solutions; Lattice dynamical system; Schauder's fixed point theorem; asymptomatic carriers; POPULATION-MODEL; INFECTION-AGE; SIR; EXISTENCE; DYNAMICS; EQUATION; FRONTS; VIRUS; SPEED;
D O I：
10.1142/S1793524522500796
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper mainly concerns about the traveling wave solution (TWS) for a discrete diffusive epidemic model with asymptomatic carriers. Analysis of the model shows that the minimum wave speed c* exists if a threshold R is greater than one. With the help of sub- and super-solutions, we find that the condition for the existence of TWS is R > 1 and wave speed c > c*. Further, we prove that the TWS connects two different boundary steady states. Through the arguments with Laplace transform, we show there is no TWS for the model if R > 1 and 0 < c < c* or R <= 1.
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页数：35
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