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Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation

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  • Chunyan Ji
  • Daqing Jiang
  • Hong Liu
  • Qingshan Yang

Abstract

We discuss a two-species Lotka-Volterra mutualism system with stochastic perturbation. We show that there is a unique nonnegative solution of this system. Furthermore, we investigate that there exists a stationary distribution for this system, and it has ergodic property.

Suggested Citation

  • Chunyan Ji & Daqing Jiang & Hong Liu & Qingshan Yang, 2010. "Existence, Uniqueness and Ergodicity of Positive Solution of Mutualism System with Stochastic Perturbation," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-18, July.
    • Handle: RePEc:hin:jnlmpe:684926
    DOI: 10.1155/2010/684926
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    Cited by:

    1. Yousef Alnafisah & Moustafa El-Shahed, 2022. "Stochastic Analysis of a Hantavirus Infection Model," Mathematics, MDPI, vol. 10(20), pages 1-15, October.
    2. Xu, Libai & Kong, Dehan & Wang, Lidan & Gu, Hong & Kenney, Toby & Xu, Ximing, 2023. "Proportional stochastic generalized Lotka–Volterra model with an application to learning microbial community structures," Applied Mathematics and Computation, Elsevier, vol. 448(C).

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