Study on controlling a FitzHugh-Nagumo model with an extra term by controlling the fast subsystem

‎In this paper‎, ‎we investigate an especial FitzHugh-Nagumo model with an extra term‎. ‎This model consists of a fast subsystem and a slow subsystem‎. ‎We introduce in this paper a parameter $ \varphi $ that controls the slow subsystem‎. ‎This parameter can be considered as a function of the dosage of a particular drug that affects potassium channels and closes them‎. ‎We study the dynamical behavior of this model and its reactions to the changes in the controller‎. ‎Using MAPLE‎, ‎without concentrating on biological concepts‎, ‎we show that the model undergoes the nine pattern of spikes when the parameter $ \varphi $ changes between 0 and 10‎. ‎We show that the control parameter enables us to get different tonic bursting pattern‎.