Global stability for three-species Lotka–Volterra systems with delay

Global stability for three-species Lotka–Volterra systems with delay

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Article ID: iaor20032856
Country: United States
Volume: 135
Issue: 2/3
Start Page Number: 301
End Page Number: 306
Publication Date: Mar 2003
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: Volterra equations
Abstract:

In this paper, a three-species delayed Lotka–Volterra system without delayed inter-specific competitions is considered. It is proved that the system is globally stable for all off-diagonal delays tau(ij) ≥ 0(i ≠ j,i,j = 1,2,3) if and only if the interaction matrix of the system satisfies a given condition.

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