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Two ecological models based on the logistic equation. (English) Zbl 1033.37049
The author suggests two models for the evolution of a prey species under the assumption of coexistence of a predator species as a feedback loop. These are obtained by modification of the well-known logistic equation. Stationary points for the corresponding two-dimensional maps are obtained and their stability is studied. Numerical data are presented and possible extensions to higher-dimensional models are prompted.
MSC:
37N25 Dynamical systems in biology
92D25 Population dynamics (general)
92D40 Ecology
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