World Academy of Science, Engineering and Technology
Published August 5, 2013 | Version 16751
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Stability Analysis in a Fractional Order Delayed Predator-Prey Model

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In this paper, we study the stability of a fractional order delayed predator-prey model. By using the Laplace transform, we introduce a characteristic equation for the above system. It is shown that if all roots of the characteristic equation have negative parts, then the equilibrium of the above fractional order predator-prey system is Lyapunov globally asymptotical stable. An example is given to show the effectiveness of the approach presented in this paper.

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