Traveling Wave Solutions for a Class of Discrete Diffusive SIR Epidemic Model

This paper is concerned with the conditions of existence and nonexistence of traveling wave solutions (TWS) for a class of discrete diffusive epidemic model. We find that the existence of TWS is determined by the so-called basic reproduction number and the critical wave speed: When the basic reproduction number R0>1, there exists a critical wave speed c>0, such that for each c >= c the system admits a nontrivial TWS and for c

Automated summary

This paper examines the conditions of existence and nonexistence of traveling wave solutions for a class of discrete diffusive epidemic model. The existence of traveling wave solutions is determined by the basic reproduction number and critical wave speed.