| 与年龄相关的模糊随机种群扩散系统的均方散逸性 |
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| 引用本文： | 吕布,张启敏,李强.与年龄相关的模糊随机种群扩散系统的均方散逸性[J].数学的实践与认识,2017(3):190-197. |
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| 作者姓名： | 吕布 张启敏 李强 |
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| 作者单位： | 1. 宁夏大学数学与计算机学院,宁夏银川,750021;2. 宁夏大学数学与计算机学院,宁夏银川750021;北方民族大学数学与信息科学学院,宁夏银川750021;3. 北方民族大学数学与信息科学学院,宁夏银川,750021 |
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| 基金项目： | 国家自然科学基金(11261043 |
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| 摘 要： | 讨论了一类与年龄相关的模糊随机种群扩散系统,该系统受随机和模糊两种不确定性因素的影响.在有界的条件(弱于线性增长条件)和Lipschitz条件下,利用It公式和Bellman-Gronwall-Type引理,建立了均方意义下与年龄相关的模糊随机种群扩散系统均方散逸性的判定准则.并通过数值例子对所给出的结论进行了验证.
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| 关 键 词： | 模糊随机种群系统 It公式 扩散 均方散逸性 |
Mean-square Dissipativity of Stochastic Fuzzy Age-Structured Population System with Diffusion |
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| LV Bu,ZHANG Qi-min,LI Qiang.Mean-square Dissipativity of Stochastic Fuzzy Age-Structured Population System with Diffusion[J].Mathematics in Practice and Theory,2017(3):190-197. |
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| Authors: | LV Bu ZHANG Qi-min LI Qiang |
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| Abstract: | In this paper,we introduce a class of stochastic fuzzy age-structured popula tion system with diffusion.Where the phenomena is subjected to two kinds of uncertainties:stochastic and fuzziness,simultaneously.Under linear growth condition and Lipschitz condition,and by means of It(o) formula and Gronwall-type lemma,some criterion are established for exponential stability of stochastic fuzzy age-structured population system with diffusion in the mean square.Finally,we give a stochastic fuzzy age-dependent population equation example to illustrate our Mean-square dissipativity. |
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| Keywords: | stochastic fuzzy age-structured population it(o) formula diffusion mean-square dissipativity |
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