On hybrid stochastic population models with impulsive perturbations

被引:3
作者
Hu, Guixin [1 ]
Tian, Kuanhou [2 ]
机构
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
[2] Shandong Univ Finance & Econ, Sch Math & Quantitat Econ, Jinan, Shandong, Peoples R China
关键词
Logistic model; Markov chains; impulsive perturbations; persistence and extinction; stability in distribution; NONAUTONOMOUS LOGISTIC EQUATION; DIFFERENTIAL-EQUATIONS; COMPETITIVE SYSTEM; GLOBAL STABILITY; PERSISTENCE; PERMANENCE; EXTINCTION; DYNAMICS;
D O I
10.1080/17513758.2019.1609607
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
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.
引用
收藏
页码:385 / 406
页数:22
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