Extinction in a generalized Lotka-Volterra predator-prey model

Azmy S. Ackleh, David F. Marshall and Henry E. Heatherly

International Journal of Stochastic Analysis, 2000, vol. 13, 1-11

Abstract:

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.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:103641

DOI: 10.1155/S1048953300000253

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