Convergence results in a well-known delayed predator-prey system

Edoardo Beretta; Yang Kuang

doi:10.1006/jmaa.1996.0471

Convergence results in a well-known delayed predator-prey system

Edoardo Beretta, Yang Kuang

Mathematical and Statistical Sciences, School of (SoMSS)

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

121 Scopus citations

Abstract

In this paper, we provide a detailed and explicit procedure of obtaining some regions of attraction for the positive steady state (assumed to exist) of a well known Lotka-Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detailed example is presented. The method used here is to construct a proper Liapunov functional in a restricted region.

Original language	English (US)
Pages (from-to)	840-853
Number of pages	14
Journal	Journal of Mathematical Analysis and Applications
Volume	204
Issue number	3
DOIs	https://doi.org/10.1006/jmaa.1996.0471
State	Published - Dec 15 1996

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1006/jmaa.1996.0471

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title = "Convergence results in a well-known delayed predator-prey system",

abstract = "In this paper, we provide a detailed and explicit procedure of obtaining some regions of attraction for the positive steady state (assumed to exist) of a well known Lotka-Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detailed example is presented. The method used here is to construct a proper Liapunov functional in a restricted region.",

author = "Edoardo Beretta and Yang Kuang",

note = "Funding Information: * Research partially supported by NSF Grant DMS-9306239.",

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Convergence results in a well-known delayed predator-prey system

Abstract

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