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摘要
This paper is concerned with the nonlinear stability of traveling waves of a delayed monostable epidemic model with quasi-monotone condition. We prove that the traveling wave front is exponentially stable by means of the weighted-energy method and the comparison principle to perturbation in some exponentially weighted L-infinity spaces, when the difference between initial data and traveling wave front decays exponentially as -> -infinity, but the initial data can be suitable large in other locations. Finally, we present two examples to support our theoretical results.
- 出版日期2017-12
- 单位北京师范大学
