  In this work, we propose and study the stability of nerve impulse propagation
as electrical and mechanical signals through linear approximation. We present a
potential energy stored in the biomembrane due to the deformation, bending, and
stretching as the action potential propagates in the nerve fibre. From the
potential energy, we derive electromechanical coupling forces and an attempt is
made to unify the two models to account for both the electrical and mechanical
activities of nerve signal propagation by introducing the electromechanical
coupling forces. We examine the stability of the equilibrium states of the
electromechanical model for nerves through the Routh Hurwitz stability
criteria. Finally, we present results of the numerical simulations of the
electromechanical model for nerves through Runge Kutta method of order four.
