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arXiv · 2203.08369

Wave propagation for a discrete diffusive vaccination epidemic model with bilinear incidence

Ran Zhang·Shengqiang Liu
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Abstract

The aim of the current paper is to study the existence of traveling wave solutions (TWS) for a vaccination epidemic model with bilinear incidence. The existence result is determined by the basic reproduction number $\Re_0$. More specifically, the system admits a nontrivial TWS when $\Re_0>1$ and $c \geq c^*$, where $c^*$ is the critical wave speed. We also found that the TWS is connecting two different equilibria by constructing Lyapunov functional. Lastly, we give some biological explanations from the perspective of epidemiology.

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Ran Zhang, Shengqiang Liu. 2022-03-16. Wave propagation for a discrete diffusive vaccination epidemic model with bilinear incidence. https://doi.org/10.11948/20220040

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