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PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F14%3A00107055" target="_blank" >RIV/00216224:14310/14:00107055 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    PREDATOR-PREY MODEL WITH PREDATOR INTERFERENCE

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2014

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Mathematical Models and Financial Mathematics Book of short papers

  • ISBN

    9788021066489

  • ISSN

  • e-ISSN

  • Number of pages

    12

  • Pages from-to

    59-70

  • Publisher name

    Masaryk University

  • Place of publication

    Brno

  • Event location

    Svratka

  • Event date

    Jan 1, 2013

  • Type of event by nationality

    CST - Celostátní akce

  • UT code for WoS article