In this article, we show the existence of global bounded solutions to a two-species competition models with fitness-dependent dispersal posed in a bounded domain with smooth boundary. In particular, we remove the convexity assumption on used by Lou-Tao-Winkler .
Submitted September 18, 2014. Published January 27, 2015.
Math Subject Classifications: 35A01, 35B40, 35K57, 92D25.
Key Words: Two-species competition model; global solution; bounded solution.
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| Xie Li |
School of Mathematical Sciences
University of Electrical Science & Technology of China
Chengdu 611731, China
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