On hybrid stochastic population models with impulsive perturbations.

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ID: 90808
2019
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Abstract
This paper considers the dynamic behaviours of a hybrid stochastic population model with impulsive perturbations. The existence of the global positive solution is studied in this paper. Moreover, under some conditions on the noises and impulsive perturbations, the properties of the persistence and extinction, stochastic permanence, global attractivity and stability in distribution are presented. Our results illustrate that impulsive perturbations play a crucial role in these properties. The bounded impulse term will not affect these properties, however, when the impulse term is unbounded, some of the properties, such as the persistence and extinction may be changed significantly. As a part of this paper, a couple of examples and numerical simulations are provided to illustrate our results.
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Authors Hu, Guixin;Tian, Kuanhou;
Journal journal of biological dynamics
Year 2019
DOI
10.1080/17513758.2019.1609607
URL
Keywords
markov chains 60h10 92b05 92d25 logistic model impulsive perturbations persistence and extinction stability in distribution

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