Extinction in a generalized Lotka-Volterra predator-prey model. (2000)

• Record Type: Journal Article
• Authors: Ackleh, Azmy S.; Marshall, David F.; Heatherly, Henry E.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 13:Number 3(2000)
• Page Start: 287
• Page End: 297
• Publication Date: 2000
• Subjects: a generalized Lotka-Volterra model -- predator-prey -- asymptotic behavior -- extinction; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953300000253
• Languages: English
• ISSNs: 1048-9533

Abstract

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.