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 73, 2013
	%T Bifurcations for a FitzHugh-Nagumo Model with Time Delays
	%U https://publications.waset.org/pdf/16967
	%V 73
	%X In this paper, a FitzHugh-Nagumo model with time delays is investigated. The linear stability of the equilibrium and the existence of Hopf bifurcation with delay τ is investigated. By applying Nyquist criterion, the length of delay is estimated for which stability continues to hold. Numerical simulations for justifying the theoretical results are illustrated. Finally, main conclusions are given.

	%P 103 - 107