Periodic solution for stochastic non-autonomous multispecies Lotka–Volterra mutualism type ecosystem

Qixing Han and Daqing Jiang

Applied Mathematics and Computation, 2015, vol. 262, issue C, 204-217

Abstract: The paper characterizes some qualitative dynamic properties of a stochastic non-autonomous multi-species mutualism model, with continuous periodic parameters. Using Khasminskii theory of stability with suitable Lyapunov functions, and M-Matrices, sufficient conditions are established to guarantee existence of positive periodic solutions to the system. We also provide conditions for the global attractiveness of the latter, or extinction of all species for sufficiently high volatility levels. Results are finally supported by numerical computations.

Keywords: Stochastic mutualism model; Periodic solution; Globally attractive; Extinction (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:204-217

DOI: 10.1016/j.amc.2015.04.042

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