Effects of time delay on two neurons interaction Morris-Lecar model

The effects of time delay on two neurons interaction MorrisLecar model are investigated. It is assumed the two neurons are coupled via gap junction thus time delay arises naturally since information signals take time transmitting from pre-synaptic to post-synaptic of the neurite. It is found that time delay leads the both neurons to quiescent states at the lower reversal potential value of Ca ⁺ channel. However, the bifurcation diagram of inter-spike interval (ISI) uncovers the complex firing behavior as time delay is above a certain critical value. Finally, the complete synchronization and lag synchronization of two neurons are reported under an efficient time delay and reversal potential value of Ca ⁺ channel.