34 Citations (Scopus)

Abstract

The qualitative behaviour of solutions of the neutral delay logistic Gause-type predator-prey system x(t) = rx(t)[1 - (x(t - μ) + px(t - τ))/K] - y(t)p(x(t)), y(t) = y(t)[- α + βp(x(t - σ))] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of the equations. 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 the equations are also included.

Original languageEnglish (US)
Pages (from-to)173-189
Number of pages17
JournalDynamics and Stability of Systems
Volume6
Issue number2
StatePublished - 1991

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Predator prey systems
Predator-prey System
Asymptotic stability
Type Systems
Logistics
Local Asymptotic Stability
Qualitative Behavior
Sufficient Conditions
Behavior of Solutions
Critical value
Positive Solution
Necessary

ASJC Scopus subject areas

  • Engineering(all)

Cite this

On neutral delay logistic Gause-type predator-prey systems. / Kuang, Yang.

In: Dynamics and Stability of Systems, Vol. 6, No. 2, 1991, p. 173-189.

Research output: Contribution to journalArticle

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