Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899688 | Journal of Mathematical Analysis and Applications | 2018 | 23 Pages |
Abstract
In this paper, we propose and study a multi-type SIS nonlocal epidemic model with seasonality. We first establish the existence of the spreading speed câ and the non-existence of periodic traveling waves with wave speed ccâ. Finally, the existence of the critical periodic traveling wave fronts is established by using a limiting argument. To overcome the difficulty of lack of compactness of solution maps of the nonlocal system with respect to compact open topology, we show that the solution sequence is pre-compact in Lloc(R2,Rm).
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shi-Liang Wu, Panxiao Li, Huarong Cao,