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分数阶与年龄相关的随机种群系统的逼近控制 被引量：2

Approximate Controllability of Fractional Stochastic Age-Dependent Population Systems
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摘要 讨论了一类分数阶与年龄相关的随机种群系统的逼近控制.通过不动点原理,分数阶性质和随机微分方程基本理论,建立了分数阶与年龄相关的随机种群控制系统弱解存在的必要条件,并给出了该系统逼近控制的条件,最后通过数值例子对所给出的结论进行了验证. In this paper,we introduce the approximate controllability of a class of fractional stochastic age-dependent population dynamic system.Using fixed point principle,fractional calculations,basic theory of stochastic differential equation,the new sufficient conditions for weak solution of fractional stochastic age-dependent population system is formulated,and also have given the conditions that the system is a approximate controllability.Finally,an example is provided to show the application of our result.
作者 马婧 张启敏
机构地区 宁夏大学数学计算机学院
出处 《数学的实践与认识》 北大核心 2015年第6期230-239,共10页 Mathematics in Practice and Theory
基金 国家自然科学基金(11461053 11261043)
关键词 分数阶微分方程 随机种群系统 逼近控制 不动点原理 fractional differential equation stochastic population system approximate controllability fixed point principle
分类号 O241.5 [理学—计算数学]
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参考文献12

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二级参考文献12

  • 1Zhang Q, Rathinasamy A. Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes[J]. Applied Mathematics and Computation, 2013, 219: 7297-7305.
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共引文献4

同被引文献19

  • 1张启敏,聂赞坎.一类随机人口发展系统的指数稳定性[J].控制理论与应用,2004,21(6):907-910. 被引量：27
  • 2Siqing Gan.EXACT AND DISCRETIZED DISSIPATIVITY OF THE PANTOGRAPH EQUATION[J].Journal of Computational Mathematics,2007,25(1):81-88. 被引量：12
  • 3李西宁,张启敏.与年龄有关的随机种群系统强解的存在性和唯一性(英文)[J].宁夏大学学报（自然科学版）,2007,28(3):197-201. 被引量：3
  • 4Zhang Qimin,Liu Wenan,Nie Zankan.Existence,uniqueness and expoenential stability for stochastic age-dependent population[J].Applied Mathematics and Computation,2004,154:183-201.
  • 5Wang Lasheng,Wang Xiaojie.Convergence of the semi-implicit Euler mehhod for stochastic age-dependent population equations with Possion jumps[J].Applied Mathematical Modelling,2010,34:2034-2043.
  • 6Tan Jianguo,Rathinasamy A,Pei Yongzhen.Convergence of the split-stepθ-method for stochastic age-dependent population equations with Possion jumps[J].Applied Mathematics and Computation,2015,254:305-317.
  • 7Rathinasamy A.Split-stepθ-methods for stochastic age-dependent population equations with Markovian switching[J].Nonlinear Analysis:Real Word Applications,2012,13:1334-1345.
  • 8Ma Weijun,Zhang Qimin,Han Chongzhao.Numerical analysis for stochastic age-dependent population equationswith fractional Brownian motion[J].Commun Nonlinear Sci Numer Simulat,2012,17:1884-1893.
  • 9Ignatyev O,Mandrekar V.Barbashin-Krasovskii theorem for stochastic differential equations[J].Proc Amer Math Soc,2010,138:4123-4128.
  • 10Li Fengzhong,Liu Yungang.Global stability and stabilization of more general stochastic nonlinear systems[J].J Math Anal Appl,2014,413:841-855.

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数学的实践与认识
2015年 第6期

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