Permanence and Extinction of a Diffusive Predator–Prey Model with Robin Boundary Conditions

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Acta Biotheoretica 66 (4):367-378 (2018)
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Abstract

The main concern of this paper is to study the dynamic of a predator–prey system with diffusion. It incorporates the Holling-type-II and a modified Leslie–Gower functional responses under Robin boundary conditions. More concretely, we study the dissipativeness of the system by using the comparison principle, and we derive a criteria for permanence and for predator extinction.

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10.1007/s10441-018-9332-0

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