Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects

被引：169
|
作者：
Zhang, Shengqiang [1 ]
Meng, Xinzhu [1 ,2 ,3 ]
Feng, Tao [1 ,3 ]
Zhang, Tonghua [4 ]
机构：
[1] Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China
[2] Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control, Shandong Prov & Minist Sci & Technol, Qingdao 266590, Peoples R China
[3] Gannan Normal Univ, Key Lab Jiangxi Prov Numer Simulat & Emulat Tech, Ganzhou 341000, Peoples R China
[4] Swinburne Univ Technol, Dept Math, Hawthorn, Vic 3122, Australia
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2017年 / 26卷
基金：
中国国家自然科学基金;
关键词：
Non-autonomous predator-prey model; Impulsive effect; Stochastic persistence; Extinction; Stochastic perturbation; DIFFERENTIAL-EQUATIONS; RANDOM PERTURBATION; PEST-MANAGEMENT; ASYMPTOTIC STABILITY; PERIODIC-SOLUTION; GLOBAL DYNAMICS; EPIDEMIC MODEL; PERSISTENCE; EXTINCTION; BEHAVIOR;
D O I：
10.1016/j.nahs.2017.04.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we propose a stochastic non-autonomous Lotka-Volterra predator-prey model with impulsive effects and investigate its stochastic dynamics. We first prove that the subsystem of the system has a unique periodic solution which is globally attractive. Furthermore, we obtain the threshold value in the mean which governs the stochastic persistence and the extinction of the prey-predator system. Our results show that the stochastic noises and impulsive perturbations have crucial effects on the persistence and extinction of each species. Finally, we use the different stochastic noises and impulsive effects parameters to provide a series of numerical simulations to illustrate the analytical results. (C) 2017 Elsevier Ltd. All rights reserved.
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页码：19 / 37
页数：19
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