%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