The effects of time-dependent delays on global stability of stochastic Lotka–Volterra competitive model

Qun Liu

Physica A: Statistical Mechanics and its Applications, 2015, vol. 420, issue C, 108-115

Abstract: In this paper, a stochastic Lotka–Volterra competitive model with time-dependent delays is investigated. Sufficient conditions for global asymptotic stability of the positive equilibrium are established. The obtained result demonstrates that time-dependent delays have important impacts on the global asymptotic stability of the positive equilibrium of the considered system.

Keywords: Global asymptotic stability; Time-dependent delays; Itô’s formula (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:420:y:2015:i:c:p:108-115

DOI: 10.1016/j.physa.2014.10.083

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