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    Stability and Hopf Bifurcation in a Three Species Food Chain System With Harvesting and Two Delays

    Source: Journal of Computational and Nonlinear Dynamics:;2014:;volume( 009 ):;issue: 002::page 24501
    Author:
    Zhang, Zizhen
    ,
    Yang, Huizhong
    DOI: 10.1115/1.4025670
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, we analyze the dynamics of a delayed food chain system with harvesting. Sufficient conditions for the local stability of the positive equilibrium and for the existence of Hopf bifurcation are obtained by analyzing the associated characteristic equation. Formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis.
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      Stability and Hopf Bifurcation in a Three Species Food Chain System With Harvesting and Two Delays

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    https://yetl.yabesh.ir/yetl1/handle/yetl/154160
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    contributor authorZhang, Zizhen
    contributor authorYang, Huizhong
    date accessioned2017-05-09T01:05:53Z
    date available2017-05-09T01:05:53Z
    date issued2014
    identifier issn1555-1415
    identifier othercnd_009_02_024501.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/154160
    description abstractIn this paper, we analyze the dynamics of a delayed food chain system with harvesting. Sufficient conditions for the local stability of the positive equilibrium and for the existence of Hopf bifurcation are obtained by analyzing the associated characteristic equation. Formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability and Hopf Bifurcation in a Three Species Food Chain System With Harvesting and Two Delays
    typeJournal Paper
    journal volume9
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4025670
    journal fristpage24501
    journal lastpage24501
    identifier eissn1555-1423
    treeJournal of Computational and Nonlinear Dynamics:;2014:;volume( 009 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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