Periodic solution for a non-autonomous Lotka-Volterra predator-prey model with random perturbation (Q2348427)

The authors study a stochastic non-autonomous Lotka-Volterra predator-prey model with periodic coefficients. Applying some restrictions on the coefficients and constructing a special Lyapunov function they prove the existence of at least one positive periodic solution. They also derive sufficient conditions for persistence in mean and extinction for the stochastic non-autonomous system.