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

M A Aziz-Alaoui, M Daher Okiye, A Moussaoui
Acta Biotheoretica 2018 May 29
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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