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arXiv · 1603.03390

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

Yan-Yu Chen·Jong-Shenq Guo·Francois Hamel
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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.

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Yan-Yu Chen, Jong-Shenq Guo, Francois Hamel. 2016-03-10. Traveling waves for a lattice dynamical system arising in a diffusive endemic model. https://doi.org/10.1088/1361-6544/aa6b0a

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