| 一类具有变时滞的随机logistic种群系统 |
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| 引用本文： | 戴祥军,李小平,徐松金. 一类具有变时滞的随机logistic种群系统[J]. 数学的实践与认识, 2017, 0(10): 270-276 |
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| 作者姓名： | 戴祥军 李小平 徐松金 |
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| 作者单位： | 1. 铜仁学院大数据学院,贵州铜仁,554300;2. 湖南农业大学理学院,湖南长沙,410011 |
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| 基金项目： | 贵州省科技厅合作协议项目(黔科合LH字[2016]7300号)(黔科合LH字[2015]7248号)，贵州省创新群体重大研究项目(黔教合KY字[2016]051) |
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| 摘 要： | 主要是讨论了一类具有变时滞的随机logi8tic种群系统.首先探讨了系统全局正解的存在性;然后获得了系统弱持久性和灭绝性的充分条件,获得了种群系统弱持续生存与灭绝之间的临界值.
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| 关 键 词： | 变时滞 logistic系统 灭绝性 弱持久性 随机干扰 |
A Stochastic Logistic System with Time-Dependent Delay |
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| DAI Xiang-jun,LI Xiao-ping,XU Song-jin. A Stochastic Logistic System with Time-Dependent Delay[J]. Mathematics in Practice and Theory, 2017, 0(10): 270-276 |
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| Authors: | DAI Xiang-jun LI Xiao-ping XU Song-jin |
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| Abstract: | In this paper,we consider a stochastic logistic system with time-dependent delay.We first show that there is a unique global positive solution for the system.Secondly,sufficient condition for extinction and weak persistence of the system are obtained.The critical value between weak persistence and extinction is obtained. |
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| Keywords: | time-dependent delay logistic system extinction weak persistence stochastic perturbation |
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