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Dynamic behaviors of a fractional order two-species cooperative systems with harvesting

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  • Ji, Guilin
  • Ge, Qing
  • Xu, Jiabo

Abstract

This paper introduces a fractional order two-species cooperative systems with harvesting. By using the Routh-Hurwitz Conditions and the Lyapunov method, we provide several sufficient conditions to ensure the stability of the equilibriums for the system. Finally, a numerical example is presented to demonstrate the validity and feasibility of the theoretical result.

Suggested Citation

  • Ji, Guilin & Ge, Qing & Xu, Jiabo, 2016. "Dynamic behaviors of a fractional order two-species cooperative systems with harvesting," Chaos, Solitons & Fractals, Elsevier, vol. 92(C), pages 51-55.
    • Handle: RePEc:eee:chsofr:v:92:y:2016:i:c:p:51-55
    DOI: 10.1016/j.chaos.2016.09.014
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    References listed on IDEAS

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    1. Legović, Tarzan & Geček, Sunčana, 2012. "Impact of maximum sustainable yield on mutualistic communities," Ecological Modelling, Elsevier, vol. 230(C), pages 63-72.
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    Cited by:

    1. Yousef, Fatma Bozkurt & Yousef, Ali & Maji, Chandan, 2021. "Effects of fear in a fractional-order predator-prey system with predator density-dependent prey mortality," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
    2. Majumdar, Prahlad & Mondal, Bapin & Debnath, Surajit & Ghosh, Uttam, 2022. "Controlling of periodicity and chaos in a three dimensional prey predator model introducing the memory effect," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    3. Moustafa, Mahmoud & Mohd, Mohd Hafiz & Ismail, Ahmad Izani & Abdullah, Farah Aini, 2018. "Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 1-13.
    4. Ghosh, Uttam & Pal, Swadesh & Banerjee, Malay, 2021. "Memory effect on Bazykin’s prey-predator model: Stability and bifurcation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    5. Lina Wang & Hui Chang & Yuxia Li, 2020. "Dynamics Analysis and Chaotic Control of a Fractional-Order Three-Species Food-Chain System," Mathematics, MDPI, vol. 8(3), pages 1-15, March.
    6. Daşbaşı, Bahatdin, 2023. "Fractional order bacterial infection model with effects of anti-virulence drug and antibiotic," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).

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