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arXiv · 1604.02308

Dynamics of a diffusive predator-prey model: the effect of conversion rate

Shanshan Chen·Junjie Wei·Jianhui Zhang
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Abstract

A general diffusive predator-prey model is investigated in this paper. We prove the global attractivity of constant equilibria when the conversion rate is small, and the non-existence of non-constant positive steady states when the conversion rate is large. The results are applied to several predator-prey models and give some ranges of parameters where complex pattern formation cannot occur.

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Shanshan Chen, Junjie Wei, Jianhui Zhang. 2016-04-08. Dynamics of a diffusive predator-prey model: the effect of conversion rate. https://arxiv.org/abs/1604.02308

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