与年龄相关的模糊随机种群扩散系统解的存在性和唯一性被引量：1

Existence and Uniqueness of Solutions for Stochastic Fuzzy Age-Structured Population System with Diffusion

下载PDF

导出

摘要介绍了一类与年龄相关的模糊随机种群扩散系统,它同时受随机和模糊两种不确定性因素的影响.在有界条件(弱于线性增长条件)和Lipschitz条件下,运用Picard迭代法证明了与年龄相关的模糊随机种群扩散系统解的存在唯一性,并且给出Picard迭代近似解误差的估计式. In this paper,we introduce a class of stochastic fuzzy age-structured population system with diffusion.Where the phenomena are subjected to two kinds of uncertainties：stochastic and fuzziness,simultaneously.Under a boundedness condition,which is weaker than linear growth condition,and the Lipschitz condition we obtain existence and uniqueness of solution to stochastic fuzzy age-structured population system with diffusion.Solutions,which are fuzzy stochastic processes,and their uniqueness are considered to be in a strong sense.An estimation on the error of approximate solution of the Picard iteration is given.

作者杨洪福张启敏申芳芳杨莉

机构地区北方民族大学数学与信息科学学院宁夏大学数学与计算机学院

出处《内蒙古师范大学学报（自然科学汉文版）》 CAS 北大核心 2015年第3期298-303,共6页 Journal of Inner Mongolia Normal University(Natural Science Edition)

基金宁夏自然科学基金资助项目(NZ12208)

关键词模糊随机种群系统存在性唯一性扩散 Picard迭代 stochastic fuzzy population system existence uniqueness diffusion Picard iterations

分类号 O211.63 [理学—概率论与数理统计]

引文网络
相关文献

参考文献10

1Zhang Q,Rathinasamy A.Convergence of numerical solutions for a class of stochastic age-dependent capital system with random jump magnitudes[J].Appl Math Comput,2013,219:7297-7305.
2Zhang Q,Wei D.Necessary and sufficient conditions for near-optimal harvesting control problem of stochastic agedependent system[J].Appl Math Comput,2013,21:394-402.
3Zhang Q,Han C.Existence and uniqueness for a stochastic age-structured population system with diffusion[J].Appl Math Model,2008,32:2197-2206.
4苏方伟,胡良剑.模糊随机微分方程解的存在唯一性[J].模糊系统与数学,2009,23(4):66-73. 被引量：6
5Feng Y.Fuzzy stochastic differential systems[J].Fuzzy Sets Syst,2000,115:351-363.
6Malinowski M T.Strong solutions to stochastic fuzzy differential equations of Ittype[J].Math Comput Modell,2012,55:918-928.
7Malinowski M T.Ittype stochastic fuzzy differential equations with delay[J].Syst Control Lett,2012,61:692-701.
8Malinowski M T,Michta M.Stochastic fuzzy differential equations with an application[J].Kybernetika,2011,47:123-143.
9Fei W.Existence and uniqueness for solutions to fuzzy stochastic differential equations driven by local martingales under the nonLipschitzian condition[J].Nonlinear Analysis,2013,76:202-214.
10Malinowski M T.Strong solutions to stochastic fuzzy differential equations of Ittype[J].Math Comput Model,2012,55:918-928.

二级参考文献8

1胡良剑,赵伟国,冯玉瑚.伊藤型模糊随机微分方程[J].工程数学学报,2006,23(1):52-62. 被引量：5
2Mao X R. Stochastic differential equation and theirapplications[M]. Horwood Publishing, 1997 : 47-77.
3Oksendal B. Stochastic differential equations:an introduction with applications(4th ed)[M]. Springer,1995.
4Li S M ,Guan L. Fuzzy set-valued Gaussian processes and Brownian motions[J]. Information Sciences, 2007,177:3251-3259.
5Li S M,Ren A H. Representation theorems,set-valued and fuzzy set-valued Ito integral[J]. Fuzzy Sets and Systems, 2007,158:949-962.
6Feng Y H. Fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems,2000,115:351-363.
7Feng Y H. The solutions of linear fuzzy stochastic differential systems[J]. Fuzzy Sets and Systems,2003,140:541- 554.
8吴让泉,胡良剑.二阶模糊随机过程的均方收敛性及其应用[J].数理统计与应用概率,1998,13(3):3-10. 被引量：6