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    Stability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays

    Source: Journal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 003
    Author:
    Wang, Xinhe
    ,
    Wang, Zhen
    ,
    Shen, Xiao
    DOI: 10.1115/1.4045683
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study, a fractional-order food chain model with disease and two delays is proposed. The existence conditions for a positive equilibrium point are given, and the stability conditions without the effects of delays are established. The effects of a single time delay and two time delays are discussed, the bifurcation and stability criteria are obtained, and the bifurcation points are calculated. To support the theoretical analysis, numerical simulations are presented.
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      Stability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays

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    contributor authorWang, Xinhe
    contributor authorWang, Zhen
    contributor authorShen, Xiao
    date accessioned2022-02-04T14:36:19Z
    date available2022-02-04T14:36:19Z
    date copyright2020/01/16/
    date issued2020
    identifier issn1555-1415
    identifier othercnd_015_03_034501.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4274010
    description abstractIn this study, a fractional-order food chain model with disease and two delays is proposed. The existence conditions for a positive equilibrium point are given, and the stability conditions without the effects of delays are established. The effects of a single time delay and two time delays are discussed, the bifurcation and stability criteria are obtained, and the bifurcation points are calculated. To support the theoretical analysis, numerical simulations are presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability and Hopf Bifurcation of a Fractional-Order Food Chain Model With Disease and Two Delays
    typeJournal Paper
    journal volume15
    journal issue3
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4045683
    page34501
    treeJournal of Computational and Nonlinear Dynamics:;2020:;volume( 015 ):;issue: 003
    contenttypeFulltext
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