Analysis of a stochastic nonautonomous hybrid population model with impulsive perturbations
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION(2023)
摘要
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.
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关键词
impulsive,hybrid,population,perturbations
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