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On a neutral delay logistic equation. (English) Zbl 0665.34066

Author’s summary: The qualitative behaviour of solutions of the neutral delay logistic equation \[ (*)\quad \dot x(t)=rx(t)[1-(x(t-\tau)+c\dot x(t-\tau))/K] \] is investigated; sufficient conditions are obtained for the local asymptotic stability of the positive steady state of (*). The oscillatory and non-oscillatory characteristics of the positive solutions of (*) are also studied.
Reviewer: J.H.Tian

MSC:

34K99 Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
92D25 Population dynamics (general)
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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