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

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...

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Bibliographic Details
Published inNonlinearity Vol. 30; no. 6; pp. 2334 - 2359
Main Authors Chen, Yan-Yu, Guo, Jong-Shenq, Hamel, François
Format Journal Article
LanguageEnglish
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
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Summary: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.
Bibliography:NON-101479.R2
London Mathematical Society
ISSN:0951-7715
1361-6544
DOI:10.1088/1361-6544/aa6b0a