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Simple Metaecoepidemic Models

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Abstract

We consider a simple predator-prey system with two possible habitats and where an epidemic spreads by contact among the prey, but it cannot affect the predators. Only the prey population can freely move from one environment to another. Several models are studied, for different assumptions on the structure of the demographic interactions and on the predators’ feeding. Some counterintuitive results are derived. The role the safety refuge may in some cases entail negative consequences for the whole ecosystem. Also, depending on the system formulation, coexistence of all the populations may not always be supported.

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  1. Dipartimento di Matematica “Giuseppe Peano”, Universita’ di Torino, via Carlo Alberto 10, 10123, Torino, Italy

    Ezio Venturino

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  1. Ezio Venturino
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Correspondence to Ezio Venturino.

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Venturino, E. Simple Metaecoepidemic Models. Bull Math Biol 73, 917–950 (2011). https://doi.org/10.1007/s11538-010-9542-3

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  • DOI: https://doi.org/10.1007/s11538-010-9542-3

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