Wei-Jian Bo, Guo Lin, Ben Xiong
Abstract:
This article concerns the minimal wave speed of a diffusive SIR model
with nonlocal delays, in which the dynamics of disease has no positive
outbreak threshold. By constructing a pair of super and sub-solutions,
we establish the existence of traveling wave solutions with the minimal
wave speed.
Submitted December 7, 2017. Published October 15, 2018.
Math Subject Classifications: 35C07, 35K57, 92D30.
Key Words: Minimal wave speed; nonmonotone system; super and sub-solutions.
Show me the PDF file (739 KB), TEX file for this article.
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Wei-Jian Bo School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: bowj13@lzu.edu.cn |
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Guo Lin School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: ling@lzu.edu.cn |
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Ben Xiong School of Mathematics and Statistics Lanzhou University Lanzhou, Gansu 730000, China email: xiongb15@lzu.edu.cn |
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