IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2014y2014i1n107968.html

Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System

Author

Listed:
  • Hui Zhang
  • Bin Jing
  • Yingqi Li
  • Xiaofeng Fang

Abstract

This paper discusses a discrete multispecies Lotka‐Volterra mutualism system. We first obtain the permanence of the system. Assuming that the coefficients in the system are almost periodic sequences, we obtain the sufficient conditions for the existence of a unique almost periodic solution which is globally attractive. In particular, for the discrete two‐species Lotka‐Volterra mutualism system, the sufficient conditions for the existence of a unique uniformly asymptotically stable almost periodic solution are obtained. An example together with numerical simulation indicates the feasibility of the main result.

Suggested Citation

  • Hui Zhang & Bin Jing & Yingqi Li & Xiaofeng Fang, 2014. "Global Analysis of Almost Periodic Solution of a Discrete Multispecies Mutualism System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:107968
    DOI: 10.1155/2014/107968
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2014/107968
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2014/107968?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Zhang, Hui & Li, Yingqi & Jing, Bin & Zhao, Weizhou, 2014. "Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1138-1150.
    2. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-9, May.
    3. Kanit Mukdasai, 2012. "Robust Exponential Stability for LPD Discrete‐Time System with Interval Time‐Varying Delay," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    5. Kanit Mukdasai, 2012. "Robust Exponential Stability for LPD Discrete-Time System with Interval Time-Varying Delay," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-13, August.
    6. Yongkun Li, 2005. "Positive periodic solutions of a discrete mutualism model with time delays," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-8, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sirada Pinjai & Kanit Mukdasai, 2013. "New Delay‐Dependent Robust Exponential Stability Criteria of LPD Neutral Systems with Mixed Time‐Varying Delays and Nonlinear Perturbations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Liqiong Pu & Xiangdong Xie & Fengde Chen & Zhanshuai Miao, 2016. "Extinction in Two‐Species Nonlinear Discrete Competitive System," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).
    3. Qinglong Wang & Zhijun Liu & Zuxiong Li, 2013. "Positive Almost Periodic Solutions for a Discrete Competitive System Subject to Feedback Controls," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    4. Qinglong Wang & Zhijun Liu, 2013. "Uniformly Asymptotic Stability of Positive Almost Periodic Solutions for a Discrete Competitive System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    5. Han, Qixing & Jiang, Daqing, 2015. "Periodic solution for stochastic non-autonomous multispecies Lotka–Volterra mutualism type ecosystem," Applied Mathematics and Computation, Elsevier, vol. 262(C), pages 204-217.
    6. Changjin Xu & Yusen Wu, 2013. "Positive Periodic Solutions in a Discrete Time Three Species Competition System," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    7. Kun Yang & Xiangdong Xie & Fengde Chen, 2014. "Global Stability of a Discrete Mutualism Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    8. Chao Liu & Yuanke Li, 2014. "Global Stability Analysis of a Nonautonomous Stage‐Structured Competitive System with Toxic Effect and Double Maturation Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Zhang, Hui & Li, Yingqi & Jing, Bin & Zhao, Weizhou, 2014. "Global stability of almost periodic solution of multispecies mutualism system with time delays and impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 232(C), pages 1138-1150.
    10. Changjin Xu & Yusen Wu, 2013. "Dynamics in a Lotka‐Volterra Predator‐Prey Model with Time‐Varying Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    11. Liang Zhao & Fengde Chen & Saixi Song & Guizhen Xuan, 2020. "The Extinction of a Non-Autonomous Allelopathic Phytoplankton Model with Nonlinear Inter-Inhibition Terms and Feedback Controls," Mathematics, MDPI, vol. 8(2), pages 1-13, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:107968. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.