Time delay and nonlinear incidence effects on the stochastic SIRC epidemic model

This paper presents theoretical and numerical study of a stochastic SIRC epidemic model with time delay and nonlinear incidence.  The existence and uniqueness of a global positive solution is proved.  The Lyapunov analysis method is used to obtain sufficient conditions for the existence of a stationary distribution and the disease extinction under certain assumptions.  Numerical simulations are also elaborated for the considered stochastic model in order to corroborate the theoretical findings.

SIRC model
stochastic
time delay
функція Ляпунова
nonlinear incidence
stationary distribution
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