Ecoepidemic models with prey group defense and feeding saturation

G. Gimmelli, B.W. Kooi, E. Venturino

Research output: Contribution to JournalArticleAcademicpeer-review

Abstract

In this paper we consider a model for the herd behavior of prey, that are subject to attacks by specialist predators. The latter are affected by a transmissible disease. With respect to other recently introduced models of the same nature, we focus here our attention to the possible feeding satiation phenomenon. The system dynamics is thoroughly investigated, to show the occurrence of several types of bifurcations. In addition to the transcritical and Hopf bifurcation that occur commonly in predator-prey system also a zero-Hopf and a global bifurcation occur. The Hopf and the global bifurcation occur only in the disease-free (so purely demographic) system. The latter is a heteroclinic connection for the between saddle equilibrium points where a stable limit cycle is disrupted and where the system disease-free collapses while in a parameter space region the endemic system exists stably.
Original languageEnglish
Pages (from-to)50-58
JournalEcological Complexity
Volume22
Early online date14 Mar 2015
DOIs
Publication statusPublished - 2015

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bifurcation
saturation
predators
saddles
satiety
demographic statistics
herds
predator
defence

Cite this

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title = "Ecoepidemic models with prey group defense and feeding saturation",
abstract = "In this paper we consider a model for the herd behavior of prey, that are subject to attacks by specialist predators. The latter are affected by a transmissible disease. With respect to other recently introduced models of the same nature, we focus here our attention to the possible feeding satiation phenomenon. The system dynamics is thoroughly investigated, to show the occurrence of several types of bifurcations. In addition to the transcritical and Hopf bifurcation that occur commonly in predator-prey system also a zero-Hopf and a global bifurcation occur. The Hopf and the global bifurcation occur only in the disease-free (so purely demographic) system. The latter is a heteroclinic connection for the between saddle equilibrium points where a stable limit cycle is disrupted and where the system disease-free collapses while in a parameter space region the endemic system exists stably.",
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Ecoepidemic models with prey group defense and feeding saturation. / Gimmelli, G.; Kooi, B.W.; Venturino, E.

In: Ecological Complexity, Vol. 22, 2015, p. 50-58.

Research output: Contribution to JournalArticleAcademicpeer-review

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AU - Kooi, B.W.

AU - Venturino, E.

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