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The perfect mixing paradox and the logistic equation: Verhulst vs. Lotka

Arditi, Roger ; Bersier, Louis-Félix ; Rohr, Rudolf P.

In: Ecosphere, 2016, vol. 7, no. 11, p. e01599

A theoretical analysis of density-dependent population dynamics in two patches sheds novel light on our understanding of basic ecological parameters. Firstly, as already highlighted in the literature, the use of the traditional r-K parameterization for the logistic equation (due to Lotka and Gause) can lead to paradoxical situations. We show that these problems do not exist with Verhulst's...