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Asymptotic behaviour of positive steady states to a predator-prey model |
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The RSE Scotland Foundation |
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10.1017/S0308210500004704 |
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| Abstract |
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To understand the heterogeneous spatial effect on predator–prey models, we study the behaviour of the positive steady states of a predator–prey model as certain parameters are small or large. We compare the case when the model has a spatial degeneracy with the case when it does not have such a degeneracy. Our results show that the effect of the degeneracy can be clearly observed in one limiting case, but not in the others. |
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Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, v.136A, p. 759-778 |
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