期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

随机时滞种群系统解的吸引性和有界性

Attractivity and Boundedness for the Solutions of Stochastic Delay Species System
下载PDF
导出
摘要 研究了与年龄相关的随机时滞种群系统模型,运用Lyapunov第二方法和It公式,得到了随机时滞种群系统方程吸引性和有界性的一些结论,给出了保证强解吸引和有界的充分条件. A model of the age-dependent stochastic delay species system is introduced.Applying the Lyapnov second methods and It＇s formula,some solutions on attractivity and boundedness are obtained for stochastic delay species system equation and the sufficient conditions to assure the strong solution attracted and bounded are also given.
作者 朱德馨 张启敏
机构地区 宁夏大学数学计算机学院
出处 《青岛科技大学学报（自然科学版）》 CAS 2009年第1期61-65,共5页 Journal of Qingdao University of Science and Technology:Natural Science Edition
基金 宁夏自然科学基金资助项目(G002) 教育部重点基金资助项目(208160)
关键词 随机时滞种群系统 吸引性 有界性 Ito's公式 stochastic delay species system attractivity boundedness Ito's formula
分类号 O231.3 [理学—运筹学与控制论]
  • 相关文献

参考文献6

  • 1Zhang Qi-min, Liu Wen-an, Nie Zan-kan. Existence, uniqueness and exponential stability for stochastic age-dependent population[J]. Applied Mathematics and Computation, 2004, 154..183-201.
  • 2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
  • 3Zhang Qi-min, Zhao Han-chong. Numerical analysis for stochastic age-dependent population equations [J]. Applied Mathematics and Computation, 2005,176 : 210-223.
  • 4Zhang Qi-min, Zhao Han-chong. Convergence of numerical solutions to stochastic age-structured population system with differusion[J]. Applied Mathematics and Computation, 2007, 186:1234-1242.
  • 5李荣华,戴永红,孟红兵.与年龄相关的随机时滞种群方程的指数稳定性[J].数学年刊（A辑）,2006,27(1):39-52. 被引量：25
  • 6Liptser R Sh, Shiryayev A N. Theory of Martingales[M]. Dordrecht.. Kluwer Academic Publishers, 1989.

二级参考文献26

  • 1宋健 于景元 朱广田 胡顺菊 等.人口发展方程解及其渐进性质[J].科学通报,1982,27:1356-1356.
  • 2Iannelli M., Mathematical Theory of Age-Structured Population Dynamics [M], CNR.Applied Mathematics Monographs, Vol.7, Giardini Editor Stampatori, Pisa, 1995.
  • 3Webb G., Theory of Nonlinear Age-Dependent Population Dynamics [M], New York:Marcel Dekker, 1985.
  • 4Franklin Langhaar J. H., General population theory in age-time continuum [J], J.Franklin Inst., 1972, 293:199-214.
  • 5Kim Miyoung and Park Eunjae, Characteristic finite element methods for diffusion epidemic models with age-structured populations [J], Applied Mathematics and Computation, 1998, 97:55-70.
  • 6Webb G., Nonlinear semigroups and age-dependent population models [J], Ann. Mat.Pura Appl., 1981, 4:43-55.
  • 7Anita S., Analysis and Control of Age-Dependent Population Dynamics [M], Netherlands: Kluwer Academic Publishers, 2000.
  • 8Mao X. R., Environmental Brownian noise suppresses explosions in population dynamics [J], Stochastic Processes and Their Applications, 2002, 97:95-110.
  • 9Benjamin B., Igor D. C. and Pierre A. V., On the behavior of solutions to certain parabolic SPDE's driven by Wiener processes [J], Stochastic Processes and Their Applications, 2001, 92:237-263.
  • 10Luis H. R. Alvarez, Optimal harvesting under stochastic fluctuations and critical depensation [J], Mathematical Biosciences, 1998, 152:63-85.

共引文献42

青岛科技大学学报（自然科学版）
2009年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部