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Chen, Fengde

Permanence and global stability of nonautonomous Lotka-Volterra system with predator-prey and deviating arguments. (English) Zbl 1121.34080

Appl. Math. Comput. 173, No. 2, 1082-1100 (2006).
The author studies a model of \(n\) prey species and \(m\) predators, described by a system of non-autonomous functional diferential equations of Lotka-Volterra type. By using comparison techniques, sufficient conditions are obtained in order to assure the permanence and the global stability of the system.
Reviewer: Marcos Lizana (Merida)

Cited in 16 Documents

MSC:

34K25 Asymptotic theory of functional-differential equations
34K20 Stability theory of functional-differential equations
92D25 Population dynamics (general)
34K60 Qualitative investigation and simulation of models involving functional-differential equations

Keywords:

Lotka -Volterra system; predator prey model; delay; permanence; global stability
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\textit{F. Chen}, Appl. Math. Comput. 173, No. 2, 1082--1100 (2006; Zbl 1121.34080)
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References:

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