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Wang, Wendi; Mulone, G.; Salemi, F.; Salone, V.

Global stability of discrete population models with time delays and fluctuating environment. (English) Zbl 1006.92025

J. Math. Anal. Appl. 264, No. 1, 147-167 (2001).
Summary: The global stability of a discrete population model of Volterra type is studied. The model incorporates time delays and allows for a fluctuating environment. By linearization of the model at positive solutions and construction of Lyapunov functionals, sufficient conditions are obtained to ensure a positive solution of the model is stable and attracts all positive solutions.

Cited in 37 Documents

MSC:

92D25 Population dynamics (general)
39A11 Stability of difference equations (MSC2000)

Keywords:

global stability; delays; nonautonomous; population
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\textit{W. Wang} et al., J. Math. Anal. Appl. 264, No. 1, 147--167 (2001; Zbl 1006.92025)
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