Extinction in a generalized Lotka‐Volterra predator‐prey model

Extinction in a generalized Lotka‐Volterra predator‐prey model

In this paper we discuss the asymptotic behavior of a predator‐prey model with distributed growth and mortality rates. We exhibit simple criteria on the parameters which guarantee that all subpopulations but one predator‐prey pair are driven to extinction as t → ∞ . Finally, we present numerical sim...

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Veröffentlicht in:International journal of stochastic analysis 2000-01, Vol.13 (3), p.287-297
Hauptverfasser: Ackleh, Azmy S., Marshall, David F., Heatherly, Henry E.
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper we discuss the asymptotic behavior of a predator‐prey model with distributed growth and mortality rates. We exhibit simple criteria on the parameters which guarantee that all subpopulations but one predator‐prey pair are driven to extinction as t → ∞ . Finally, we present numerical simulations to illustrate the theoretical results.
ISSN:2090-3332
1048-9533
2090-3340
1687-2177
DOI:10.1155/S1048953300000253