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Article Dans Une Revue Nonlinearity Année : 2017

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

Résumé

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.
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Dates et versions

hal-01286472 , version 1 (10-03-2016)

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Yan-Yu Chen, Jong-Shenq Guo, François Hamel. Traveling waves for a lattice dynamical system arising in a diffusive endemic model. Nonlinearity, 2017, 30 (6), pp.2334 - 2359. ⟨10.1088/1361-6544/aa6b0a⟩. ⟨hal-01286472⟩
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