Abstract
We study the traveling waves of reaction-diffusion equations for a diffusive SIR model. The existence of traveling waves is determined by the basic reproduction number of the corresponding ordinary differential equations and the minimal wave speed. Our proof is based on Schauder fixed point theorem and Laplace transform.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3303-3324 |
| Number of pages | 22 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 32 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2012 |
Keywords
- Laplace transform
- SIR model
- Schauder fixed point theorem
- Traveling waves
ASJC Scopus subject areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics