Stability analysis of a predator-prey system with mutual interference and density-dependent death rates |
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| Authors: | H. I. Freedman |
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| Affiliation: | (1) Department of Mathematics, University of Alberta, Edmonton, Canada;(2) University of Iowa, Iowa, USA |
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| Abstract: | A two species predator-prey model is proposed incorporating the notions of mutual interference among predators as well as a density-dependent predator death rate. The latter leads to a curved predator isocline. Conditions for an interior equilibrium are given, and the stability of this equilibrium is analyzed. Certain critical cases, some of which cannot occur in the usual model are also discussed. |
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