Bifurcation analysis of a predator-prey model with predators using hawk dove tactics.

P. Auger, B.W. Kooi, R. Bravo de la Parra, J.C. Poggiale

    Research output: Contribution to JournalArticleAcademicpeer-review

    Abstract

    Most classical prey-predator models do not take into account the behavioural structure of the population. Usually, the predator and the prey populations are assumed to be homogeneous, i.e. all individuals behave in the same way. In this work, we shall take into account different tactics that predators can use for exploiting a common self-reproducing resource, the prey population. Predators fight together in order to keep or to have access to captured prey individuals. Individual predators can use two behavioural tactics when they encounter to dispute a prey, the classical hawk and dove tactics. We assume two different time scales. The fast time scale corresponds to the inter-specific searching and handling for the prey by the predators and the intra-specific fighting between the predators. The slow time scale corresponds to the (logistic) growth of the prey population and mortality of the predator. We take advantage of the two time scales to reduce the dimension of the model and to obtain an aggregated model that describes the dynamics of the total predator and prey densities at the slow time scale. We present the bifurcation analysis of the model and the effects of the different predator tactics on persistence and stability of the prey-predator community are discussed. © 2005 Elsevier Ltd. All rights reserved.
    Original languageEnglish
    Pages (from-to)597-607
    JournalJournal of Theoretical Biology
    Volume238
    DOIs
    Publication statusPublished - 2006

    Fingerprint

    Dive into the research topics of 'Bifurcation analysis of a predator-prey model with predators using hawk dove tactics.'. Together they form a unique fingerprint.

    Cite this