Investigation of Zeeman Models with Time Delays

In this paper, the stability of the equilibrium points of the two dimensional Zeeman Heartbeat Model is investigated with time delay in cardiac muscle fiber or stimulator. The formulation of the heartbeat model is explained in the first part. Then, the stability conditions for the equilibrium points of the system are derived. Finally, some examples are given to illustrate the results of the study. The overall objective of this study is to investigate the effects of time delays on the dynamics of the Zeeman Heartbeat Model.