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Modeling persistence and mutual interference among subpopulations of ecological communities

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Abstract

A model is proposed of an ecological community where some (or all) of the subpopulations exhibit mutual interference. Mutual interference introduces sublinearities which makes the persistence analysis of the community more complex since the model is no longer a dynamical system. A transformation is introduced which yields a dynamical system, thereby making a persistence analysis more tractable. The results are applied to determining top-predator persistence of a simple food chain and to the question of invasibility of a stable community by a new subpopulation.

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Research partially supported by the Natural Sciences and Engineering Research Council of Canada.

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Erbe, L.H., Freedman, H.I. Modeling persistence and mutual interference among subpopulations of ecological communities. Bltn Mathcal Biology 47, 295–304 (1985). https://doi.org/10.1007/BF02460038

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