Effect of correlation in FitzHugh–Nagumo model with non-Gaussian noise and multiplicative signal

The effect of correlation in FitzHugh–Nagumo neural model induced by non-Gaussian noise and multiplicative signal is studied. Based on the corresponding Fokker–Planck equation, the explicit expressions of the stationary probability distribution function, the mean first passage time and signal-to-noise ratio are obtained, respectively. By analyzing the influence of different parameters, we observe that the system undergoes a succession of phase transition-like phenomena as correlation strength λ, correlation time τ and multiplicative noise intensity D are increased. And the mean first passage time exhibits a maximum, which identifies the noise-enhanced stability effect when correlation strength λ < 0. Furthermore, inhibition phenomenon and double stochastic resonance occur in FitzHugh–Nagumo neural model under different values of system parameters.