Traveling waves for a lattice dynamical system arising in a diffusive endemic model

• Published in: Nonlinearity Vol. 30; no. 6; pp. 2334 - 2359
• Main Authors: Chen, Yan-Yu, Guo, Jong-Shenq, Hamel, François
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.06.2017
• Subjects: Analysis of PDEs; endemic model; lattice dynamical system; Mathematics; traveling wave; upper-lower-solutions; traveling wave; endemic model; lattice dynamical system; upper-lower-solutions

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 tr...