Traveling waves for a lattice dynamical system arising in a diffusive endemic model
Analysis of PDEs
2017-05-24 v1
Abstract
This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the existence of traveling waves connecting the disease-free state to non-trivial leftover concentrations. We also characterize the minimal speed of traveling waves and we prove the non-existence of waves with smaller speeds.
Cite
@article{arxiv.1603.03390,
title = {Traveling waves for a lattice dynamical system arising in a diffusive endemic model},
author = {Yan-Yu Chen and Jong-Shenq Guo and Francois Hamel},
journal= {arXiv preprint arXiv:1603.03390},
year = {2017}
}