ANALYSIS OF A STOCHASTIC NONAUTONOMOUS HYBRID POPULATION MODEL WITH IMPULSIVE PERTURBATIONS

In this paper, we propose a stochastic nonautonomous hybrid pop-ulation model with Allee effect, Markovian switching and impulsive perturba-tions and investigate its stochastic dynamics. We first establish sufficient con-ditions for the extinction and permanence. Then, we study some asymptotic properties and the lower-and upper-growth rates of the positive solutions. Finally, by performing numerical simulations we verify the main results and analyze the impact on the system from the Allee effect, the Markovian switch-ing and the impulsive perturbations.