环境污染下与年龄相关模糊随机种群系统的均方散逸性  

Mean-square dissipativity of fuzzy stochastic age-structured population system in a polluted environment

作　　者：何剑 李强 张启敏 亢婷 He Jian;Li Qiang;Zhang Qimin;Kang Ting(School of Mathematics and Information Science,North University for nationalities,Yinchuan 750021,China;School of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]北方民族大学数学与信息科学学院,银川750021 [2]宁夏大学数学统计学院,银川750021

出　　处：《河南师范大学学报（自然科学版）》2018年第3期6-12,共7页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11461053);北方民族大学科研项目(2017SXKY07)

摘　　要：讨论了一类在环境污染下与年龄相关的模糊随机种群系统,该系统受随机和模糊两种不确定性因素的影响.在有界条件(弱于线性增长条件)和Lipschitz条件下,利用It8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.This paper presents an investigation of a class of fuzzy stochastic age-structured population system in a polluted environment,where the system is subjected to two kinds of uncertainties:stochastic and fuzziness,simultaneously.Under the linear growth condition and Lipschitz condition,we establish some criterions of mean-square dissipativity of a fuzzy stochastic age-structured population system through It formula and Bellman-Gronwall-type lemma.Finally,a numerical example is provided to illustrate the theoretical results.

关 键 词：环境污染 模糊随机种群系统 LIPSCHITZ条件 均方散逸 

分 类 号：O175.1[理学—数学]