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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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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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.
AbstractList 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.
Author Guo, Jong-Shenq
Hamel, François
Chen, Yan-Yu
Author_xml – sequence: 1
  givenname: Yan-Yu
  surname: Chen
  fullname: Chen, Yan-Yu
  email: chenyanyu24@gmail.com
  organization: Tamkang University Department of Mathematics, Tamsui, New Taipei City, Taiwan
– sequence: 2
  givenname: Jong-Shenq
  surname: Guo
  fullname: Guo, Jong-Shenq
  email: jsguo@mail.tku.edu.tw
  organization: Tamkang University Department of Mathematics, Tamsui, New Taipei City, Taiwan
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  givenname: François
  surname: Hamel
  fullname: Hamel, François
  email: francois.hamel@univ-amu.fr
  organization: Aix Marseille University , CNRS, Centrale Marseille, I2M, Marseille, France
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Keywords traveling wave
endemic model
lattice dynamical system
upper-lower-solutions
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Snippet This paper is concerned with a lattice dynamical system modeling the evolution of susceptible and infective individuals at discrete niches. We prove the...
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SubjectTerms Analysis of PDEs
endemic model
lattice dynamical system
Mathematics
traveling wave
upper-lower-solutions
Title Traveling waves for a lattice dynamical system arising in a diffusive endemic model
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