The spatial behavior of a strongly coupled non-autonomous elliptic system |
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Authors: | Ling Zhou Shan ZhangZuhan Liu Zhigui Lin |
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Institution: | a School of Mathematical Science, Yangzhou University, Yangzhou 225002, Chinab School of Mathematical Science, Xuzhou Normal University, Xuzhou, 221116, China |
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Abstract: | This article is concerned with the spatial behavior of a strongly coupled non-autonomous elliptic system modeling the steady state of populations that compete in some region. As the competition rate tends to infinity, we obtain the uniform convergence result and prove that non-negative solution of the system converges to the positive and negative parts of a solution of a scalar limit problem. |
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Keywords: | 35J55 35Q40 |
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