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Allee effect and a catastrophe model of population dynamics

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  • Some assumptions of Logistic Equation are frequently violated. We applied the Allee effect to the Logistic Equation so as to avoid these unrealistic assumptions. Following basic principles of Catastrophe theory, this new model is identical to a Fold catastrophe type model. An ecological interpretation of the results is provided.
    Mathematics Subject Classification: 92D25, 92D40.

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