| 带有Ornstein-Uhlenbeck 过程的随机logistic种群模型 |
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| 引用本文： | 师婉影,魏春金,张树文.带有Ornstein-Uhlenbeck 过程的随机logistic种群模型[J].华侨大学学报(自然科学版),2023,0(1):83-90. |
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| 作者姓名： | 师婉影 魏春金 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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| 摘 要： | 研究带有均值回复Ornstein-Uhlenbeck过程的随机logistic种群模型的动力学行为。证明收获努力E＊可以控制随机微分方程模型的随机灭绝和持续:若E≥E＊并且满足一些其他条件，则种群灭绝；若E
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| 关 键 词： | Ornstein-Uhlenbeck过程 灭绝性 持久性 种群模型 |
A Stochastic Logistic Population Model Incorporating Ornstein-Uhlenbeck Process |
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| SHI Wanying,WEI Chunjin,ZHANG Shuwen.A Stochastic Logistic Population Model Incorporating Ornstein-Uhlenbeck Process[J].Journal of Huaqiao University(Natural Science),2023,0(1):83-90. |
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| Authors: | SHI Wanying WEI Chunjin ZHANG Shuwen |
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| Institution: | (School of Science,Jimei University,Xiamen 361021,China) |
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| Abstract: | In this paper,the dynamics of a stochastic logistic population model incorporating Ornstein-Uhlenbeck process were investigated，and it was proved that the harvesting effort E＊ could be used to govern the stochastic extinction and persistence for stochastic model:if E≥E＊ under extra conditions,N(t) will die out,while if E |
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| Keywords: | Ornstein-Uhlenbeck process extinction persistence population model |
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