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Dynamics of a diffusive predator-prey model: the effect of conversion rate (1604.02308v2)
Published 8 Apr 2016 in math.DS
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.