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Periodic Solutions of a Stochastic Food-Limited Mutualism Model

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  • Xinhong Zhang

    (China University of Petroleum (East China))

  • Daqing Jiang

    (China University of Petroleum (East China))

Abstract

In this paper, we consider a stochastic food-limited mutualism model with periodic coefficients. Using Has’minskii theory of periodic Markov processes, sufficient conditions for the existence of the stochastic nontrivial periodic solutions to the model are established. Then we obtain conditions for the existence and global attractivity of the boundary periodic solutions. Finally, examples are introduced to illustrate the results developed.

Suggested Citation

  • Xinhong Zhang & Daqing Jiang, 2020. "Periodic Solutions of a Stochastic Food-Limited Mutualism Model," Methodology and Computing in Applied Probability, Springer, vol. 22(1), pages 267-278, March.
    • Handle: RePEc:spr:metcap:v:22:y:2020:i:1:d:10.1007_s11009-019-09697-6
    DOI: 10.1007/s11009-019-09697-6
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    References listed on IDEAS

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    1. Wu, Haihui & Xia, Yonghui & Lin, Muren, 2008. "Existence of positive periodic solution of mutualism system with several delays," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 487-493.
    2. 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:

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