| 具有毒素脉冲输入和干扰的非自治随机模型 |
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| 引用本文： | 王玲玉,张树文.具有毒素脉冲输入和干扰的非自治随机模型[J].集美大学学报(自然科学版),2015,0(4):297-304. |
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| 作者姓名： | 王玲玉 张树文 |
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| 作者单位： | （集美大学理学院，福建 厦门 361021） |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 建立了一个具有毒素脉冲输入和干扰的非自治随机模型.通过构造比较系统，利用微分方程的比较定理等方法，证明了系统的均值有界性和全局吸引性，确定了系统非平均持续生存和平均持续生存的充分条件，进而研究了系统的一些动力学行为.
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| 关 键 词： | 脉冲效应 随机干扰 单种群模型 平均持续生存 |
A Research of Nonautonomous Stochastic Population Model with Pulse Input of Environment Toxin and Random Perturbation |
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| WANG Ling-yu,ZHANG Shu-wen.A Research of Nonautonomous Stochastic Population Model with Pulse Input of Environment Toxin and Random Perturbation[J].the Editorial Board of Jimei University(Natural Science),2015,0(4):297-304. |
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| Authors: | WANG Ling-yu ZHANG Shu-wen |
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| Affiliation: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | A nonautonomous stochastic population model with pulse input of environment toxin and random perturbation was proposed.By constructing comparison systems and utilizing comparison theorem of differential equation,the boundedness of expectation and global attractivity of the system were proved.The sufficient condition of non-persistence in the mean and persistence in the mean were established.Furthermore,some dynamic behaviors of the system were investigated. |
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| Keywords: | impulsive effect random perturbation single population model persistence in the mean |
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