Stability of traveling waves of a diffusive susceptible-infective-removed (SIR) epidemic model

This paper is concerned with the stability and uniqueness of traveling waves of a delayed diffusive susceptible-infective-removed (SIR) epidemic model. We first prove the exponential stability of traveling waves by using the weighted energy method, where the traveling waves are allowed to be non-monotone. Then we establish the exact asymptotic behavior of traveling waves at -infinity by using Ikehara's theorem. Finally, the uniqueness of traveling waves is proved by the stability result of traveling waves. Published by AIP Publishing.