WASET
	%0 Journal Article
	%A Changjin Xu and  Peiluan Li
	%D 2013
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 77, 2013
	%T Stability Analysis in a Fractional Order Delayed Predator-Prey Model
	%U https://publications.waset.org/pdf/16751
	%V 77
	%X 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.

	%P 859 - 862