Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024449 | Nonlinear Analysis: Real World Applications | 2017 | 11 Pages |
Abstract
This paper is concerned with the traveling wave fronts of a multi-type SIS nonlocal epidemic model. From Weng and Zhao (2006), we know that there exists a critical wave speed câ>0 such that a traveling wave front exists if and only if its wave speed is above câ. In this paper, we first prove the uniqueness of certain traveling wave fronts with non-critical wave speed. Then, we show that all non-critical traveling wave fronts are asymptotically exponentially stable. The exponential convergent rate is also obtained.
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Authors
Shi-Liang Wu, Guangsheng Chen,