Abstract
This paper is concerned with the existence and nonexistence of traveling wave solutions of a diffusive SEIR epidemic model with nonlinear incidence rate, which are determined by the basic reproduction number $R_0$ and the minimal wave speed $c^*$. Namely, the system admits a nontrivial traveling wave solution if $R_0 \gt 1$ and $c \geq c^*$ and then the non-existence of traveling wave solutions of the system is established if $R_0 \gt 1$ and $0 \lt c \lt c^*$. Especially, using numerical simulation, we give the basic framework of traveling wave solutions of the system.
Citation
Lin Zhao. Liang Zhang. Haifeng Huo. "Traveling Wave Solutions of a Diffusive SEIR Epidemic Model with Nonlinear Incidence Rate." Taiwanese J. Math. 23 (4) 951 - 980, August, 2019. https://doi.org/10.11650/tjm/181009
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