PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE

Popis výsledku v původním jazyce

Rosenzweig-MacArthur-like predator-prey model with predator interference is studied. Predator interference as a decline in the per predator consumption rate as predator density increases is generally thought to promote predator-prey stability. Indeed, this has been demonstrated in many theoretical studies on predator-prey dynamics. In virtually all of these studies, the stabilization role is demonstrated as a weakening of the paradox of enrichment. With predator interference, stable limit cycles that appear as a result of environmental enrichment occur for higher values of the environmental carrying capacity of prey, and even a complete absence of the limit cycles can happen. By means of a bifurcation analysis it can be shown that sufficiently strong redator interference may bring about another stabilizing mechanism. In particular, hysteresis combined with (dis)appearance of stable limit cycles imply the presence of abrupt increases in both prey and predator densities and enhanced persistence and resilience of the predator-prey system.

Název v anglickém jazyce

PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE

Popis výsledku anglicky

Rosenzweig-MacArthur-like predator-prey model with predator interference is studied. Predator interference as a decline in the per predator consumption rate as predator density increases is generally thought to promote predator-prey stability. Indeed, this has been demonstrated in many theoretical studies on predator-prey dynamics. In virtually all of these studies, the stabilization role is demonstrated as a weakening of the paradox of enrichment. With predator interference, stable limit cycles that appear as a result of environmental enrichment occur for higher values of the environmental carrying capacity of prey, and even a complete absence of the limit cycles can happen. By means of a bifurcation analysis it can be shown that sufficiently strong redator interference may bring about another stabilizing mechanism. In particular, hysteresis combined with (dis)appearance of stable limit cycles imply the presence of abrupt increases in both prey and predator densities and enhanced persistence and resilience of the predator-prey system.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Mathematical Models and Financial Mathematics Book of short papers

ISBN

9788021066489

ISSN

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e-ISSN

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Počet stran výsledku

12

Strana od-do

59-70

Název nakladatele

Masaryk University

Místo vydání

Brno

Místo konání akce

Svratka

Datum konání akce

1. 1. 2013

Typ akce podle státní příslušnosti

CST - Celostátní akce

Kód UT WoS článku

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