Stable Periodic Orbits for a Predator-Prey Model with Delay

Mario Cavani; Marcos Lizana; Hal Smith

doi:10.1006/jmaa.2000.6802

Stable Periodic Orbits for a Predator-Prey Model with Delay

Mario Cavani, Marcos Lizana, Hal Smith

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

In this paper we consider a predator-prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar.63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit.

Original language	English (US)
Pages (from-to)	324-339
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	249
Issue number	2
DOIs	https://doi.org/10.1006/jmaa.2000.6802
State	Published - Sep 15 2000

Keywords

Delay
Predator-prey model
Stable periodic orbit
Uniform persistence

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.2000.6802

Cite this

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abstract = "In this paper we consider a predator-prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar.63(3), 213-229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit.",

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KW - Stable periodic orbit

KW - Uniform persistence

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Stable Periodic Orbits for a Predator-Prey Model with Delay

Abstract

Keywords

ASJC Scopus subject areas

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