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Abstract
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| This article concerns the effect of slow diffusion in two-species competition-diffusion problem with spatially homogeneous nearly identical reaction terms. In this case all (nonnegative) equilibria are spatially homogeneous, and the set of nontrivial equilibria is the graph of a $C^1$-curve. This article shows convergence of positive solutions to an equilibria which is determined by the initial data. The proof relies on the existence of a Lyapunov function and is adapted from [6] which dealt with linear diffusion. | |
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International
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Si |
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JCR
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Si |
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Title
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Electronic journal of differential equations |
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ISBN
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1072-6691 |
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Impact factor JCR
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Impact info
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Volume
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Journal number
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Conf. 22 |
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From page
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47 |
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To page
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51 |
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Month
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SIN MES |
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Ranking
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