Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

Nie, Lin-Fei; Hu, Luojia; Teng, Zhidong

doi:10.1216/rmj-2011-41-6-2001

Rocky Mountain J. Math.

2011

DOI: 10.1216/rmj-2011-41-6-2001

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Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

Lin-Fei Nie¹,

Luojia Hu²,

Zhidong Teng³

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Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems

Jian-dong

Chen

2017

Int. J. Biomath.

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The nonautonomous single-species Kolmogorov system is studied in this paper. Average conditions are obtained for permanence, global attractivity and extinction in the system. Applications of our main results to logistic equation and generalized logistic equation are given. It is shown that our average conditions are improvement of those in Vance and Coddington [J. Math. Biol. 27 (1989) 491–506] and some published literature on the system.

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Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems

Jian-dong

Chen

2017

Int. J. Biomath.

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Permanence in general non-autonomous single-species Kolmo- gorov systems with pure delays and feedback control

Cited by 1 publication

References 22 publications

Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems

Average conditions for permanence and extinction in nonautonomous single-species Kolmogorov systems

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