A food chain ecoepidemic model: Infection at the bottom trophic level |
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| Institution: | 1. Universidad Castilla La Mancha, Albacete, España;2. Novartis Farmacéutica, S.A., Barcelona, España;1. DIAG, Sapienza Universita’ di Roma, Via Ariosto 25, 00185 Roma, Italy;2. INESC-ID, R. Alves Redol 9, 1000-029 Lisbon, Portugal;3. Virginia Tech, Blacksburg, VA 24061, United States;1. Dipartimento di Matematica ed Informatica, Università di Ferrara, Via Machiavelli, 30, 44121 Ferrara, Italy;2. Dipartimento di Matematica, Università di Torino, Via Carlo Alberto 10, 10123 Torino, Italy |
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| Abstract: | In this paper we consider a three level food web subject to a disease affecting the bottom prey. The resulting dynamics is much richer with respect to the purely demographic model, in that it contains more transcritical bifurcations, gluing together the various equilibria, as well as persistent limit cycles, which are shown to be absent in the classical case. Finally, bistability is discovered among some equilibria, leading to situations in which the computation of their basins of attraction is relevant for the system outcome in terms of its biological implications. |
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| Keywords: | Epidemics Food web Disease transmission Ecoepidemics |
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