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    Stability and hopf bifurcation analysis on a bazykin model with delay

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    2014Stability and hopt_Delay.pdf (1.830Mb)
    Date
    2014
    Author
    Zhang, Jianming
    Zhang, Lijun
    Khalique, Chaudry Masood
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    Abstract
    The dynamics of a prey-predator system with a finite delay is investigated. We show that a sequence of Hopf bifurcations occurs at the positive equilibrium as the delay increases. By using the theory of normal form and center manifold, explicit expressions for determining the direction of the Hopf bifurcations and the stability of the bifurcating periodic solutions are derived.
    URI
    http://hdl.handle.net/10394/18183
    http://dx.doi.org/10.1155/2014/539684
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