A new criterion is proposed for the global asymptotic stability of the positive periodic solutions to the following delay logistic equation: u'(t)=u(t)[r(t)−a(t)u(t)−b(t)u(t−s)]. This result is preceded by the stability property of the zero solution to the linear equation x'(t)=−a(t)x(t)−b(t)x(t−s). Previous investigations are confirmed and generalized.
Global attractivity in nonautonomous logistic equations with delay
LISENA, Benedetta
2008-01-01
Abstract
A new criterion is proposed for the global asymptotic stability of the positive periodic solutions to the following delay logistic equation: u'(t)=u(t)[r(t)−a(t)u(t)−b(t)u(t−s)]. This result is preceded by the stability property of the zero solution to the linear equation x'(t)=−a(t)x(t)−b(t)x(t−s). Previous investigations are confirmed and generalized.File in questo prodotto:
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