On neutral delay logistic Gause-type predator—prey systems

Yang Kuang

doi:10.1080/02681119108806114

On neutral delay logistic Gause-type predator—prey systems

Yang Kuang

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Abstract

The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system [formula omitted] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). in fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also included.

Original language	English (US)
Pages (from-to)	173-189
Number of pages	17
Journal	Dynamics and Stability of Systems
Volume	6
Issue number	2
DOIs	https://doi.org/10.1080/02681119108806114
State	Published - Jan 1 1991

ASJC Scopus subject areas

General Engineering

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10.1080/02681119108806114

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title = "On neutral delay logistic Gause-type predator{\textemdash}prey systems",

abstract = "The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system [formula omitted] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). in fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also included.",

author = "Yang Kuang",

note = "Funding Information: This research was partially supported by an FGIA Award and a CLAS Summer Research Award at Arizona State University.",

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Y1 - 1991/1/1

N2 - The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system [formula omitted] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). in fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also included.

AB - The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system [formula omitted] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). in fact, some of these sufficient conditions are also necessary except at those critical values. Results on the oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also included.

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On neutral delay logistic Gause-type predator—prey systems

Abstract

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