| 引用本文: | 韩婷,李国平,马维军.具有扩散项和Levy噪声的随机年龄结构种群系统的指数稳定性[J].控制理论与应用,2023,40(8):1449~1456.[点击复制] |
| HAN Ting,LI Guo-ping,MA Wei-jun.Exponential stability of stochastic age-structured population system with diffusion and L′evy noise[J].Control Theory and Technology,2023,40(8):1449~1456.[点击复制] |
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| 具有扩散项和Levy噪声的随机年龄结构种群系统的指数稳定性 |
| Exponential stability of stochastic age-structured population system with diffusion and L′evy noise |
| 摘要点击 2951 全文点击 296 投稿时间：2021-12-06 修订日期：2023-07-08 |
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| DOI编号 10.7641/CTA.2022.11189 |
| 2023,40(8):1449-1456 |
| 中文关键词 随机种群系统 扩散 噪声 能量等式 稳定性 |
| 英文关键词 stochastic population system diffusion noise energy equality stability |
| 基金项目 宁夏自然科学基金项目(2022AAC03642, 2023AAC03017), 国家自然科学基金项目(62063028), 宁夏高等学校科学研究项目(NGY2018228） |
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| 中文摘要 |
| 稳定性是种群生物学和控制论研究的重要内容之一. 现实世界中, 外界随机因素对种群稳定性的影响较大.本文讨论了具有扩散项和L′evy噪声的随机年龄结构种群系统的指数稳定性, 通过运用随机分析理论、BurkholderDavis-Gundy不等式、Chebyshev不等式等工具对系统随机能量等式中的系数函数进行估计, 得到了新的指数稳定性和几乎必然指数稳定性的充分条件. 最后, 本文给出例子并对其进行数值模拟, 验证了理论的有效性 |
| 英文摘要 |
| Stability is one of the most important topics in population biology and control. In the real world, external random factors have a great influence on the stability of population. In this paper, we focus on the exponential stability for a stochastic age-structured population system with diffusion and L′evy noise. With the help of the stochastic analysis theory , the Burkholder-Davis-Gundy inequality, and the Chebyshev inequality et al., the coefficients functions in the stochastic energy equality of the system are estimated. Some novel sufficient conditions on exponential stability and almost sure exponential stability are established. Finally, an example and its numerical simulation are given to illustrate the effectiveness of the theoretical results. |