Periodic behavior in a FIV model with seasonality as well as environment fluctuations

In this paper, the dynamics of a stochastic FIV model with seasonality are investigated analytically and numerically. Sufficient criteria for extinction and weak persistence of the FIV disease in the mean are established. In the case of weak persistence in the mean, there exists at least one periodic solution, which means that the susceptible and infective individuals will coexist and exhibit periodicity in the long run. Via the numerical simulations, it is also shown that the stationary distributions are governed by two parameters.