Allee effect and a catastrophe model of population dynamics

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Abstract

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.

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Li, D., Zhang, Z., Ma, Z., Xie, B., & Wang, R. (2004). Allee effect and a catastrophe model of population dynamics. In Discrete and Continuous Dynamical Systems - Series B (Vol. 4, pp. 629–634). Southwest Missouri State University. https://doi.org/10.3934/dcdsb.2004.4.629

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