Mathematical model of propagation of nerve impulses with regard hereditarity

A mathematical model of the propagation of the nervous pulse of FitzHugh-Nagumo is proposed, which takes into account the effect of heredity. This hereditary model is described by an integro-differential equation with a power kernel - a function of memory. The algorithm for the numerical solution of this model is implemented in a computer program in the environment of symbolic mathematics Maple. With the help of this program, calculated curves - oscillograms, and also phase trajectories were constructed depending on various values of control parameters.