Abstract

THE MODEL BEHAVIOUR OF FITZHUGH-NAGUMO SYSTEM

Aku D. H, Abegye Y. S and Alhamdu A. M

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Abstract The application of models cannot be over emphasized in the field of science and engineering, since models are abstractions of real world. This paper is concerned with a nonlinear system called the FitzHugh-Nagumo system. We stated and defined all the parameters of the system and concentrated on the stability of the steady state of the system. Furthermore, after our investigation we observed that since our parameters must be greater than zero and satisfying the inequality, thus both eigenvalues ( and ) are negative (which implies that the steady state of the system is stable) and complex (also meaning that the system also have spiral behaviour). Keywords: FitzHugh-Nagumo System, Hodgkin-Huxley system, Excitable nature, Steady state, Conductivity.

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