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

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  • Liu, Qun

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.

Suggested Citation

  • Liu, Qun, 2015. "The effects of time-dependent delays on global stability of stochastic Lotka–Volterra competitive model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 420(C), pages 108-115.
    • Handle: RePEc:eee:phsmap:v:420:y:2015:i:c:p:108-115
    DOI: 10.1016/j.physa.2014.10.083
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    References listed on IDEAS

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    1. Mao, Xuerong & Marion, Glenn & Renshaw, Eric, 2002. "Environmental Brownian noise suppresses explosions in population dynamics," Stochastic Processes and their Applications, Elsevier, vol. 97(1), pages 95-110, January.
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    Cited by:

    1. Yuanfu Shao & Weili Kong, 2022. "A Predator–Prey Model with Beddington–DeAngelis Functional Response and Multiple Delays in Deterministic and Stochastic Environments," Mathematics, MDPI, vol. 10(18), pages 1-25, September.
    2. Shao, Yuanfu, 2022. "Global stability of a delayed predator–prey system with fear and Holling-type II functional response in deterministic and stochastic environments," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 65-77.
    3. Liu, Qun, 2015. "Analysis of a stochastic non-autonomous food-limited Lotka–Volterra cooperative model," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 1-8.

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