%0 Journal Article
%T Exponential stability of stochastic age-dependent population dynamics system<br>一类随机人口发展系统的指数稳定性
%A ZHANG Qi-min
%A NIE Zan-kan
%A <br>张启敏
%A 聂赞坎
%J 控制理论与应用
%D 2004
%I 
%X The influence of the stochastic external environment upon the population dynamics system have never been considered in ordinary age-dependent system models.A class of stochastic age-dependent population dynamics system is proposed,on the condition that migration is perturbed by random external environment.The mean square and almost sure exponential stability of stochastic age-dependent population dynamics system are discussed in Hilbert space.Sufficient conditions of mean square and almost sure exponential stability are established for a class of stochastic age-dependent population dynamics system.The analyses are conducted by using Burkholder-Davis-Gundy inequality,Gronwall lemma and Kolmogorov inequality derived for our stability purposes.It is also proposed that if the birth rate can be regarded as a controllable variable,the system is still mean square and almost sure exponential stability.The optimal control can be further studied for stochastic age-dependent population dynamics system.
%K stochastic system
%K It formula
%K population
%K exponential stability<br>随机系统
%K It^o公式
%K 人口
%K 指数稳定性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=5B3AB970F71A803DEACDC0559115BFCF0A068CD97DD29835&cid=8240383F08CE46C8B05036380D75B607&jid=970898A57DFC021F93AB51667BAED7F7&aid=E9DB5D9A85748224&yid=D0E58B75BFD8E51C&vid=659D3B06EBF534A7&iid=B31275AF3241DB2D&sid=3382A18868551611&eid=A02B0E6E62BE4F0C&journal_id=1000-8152&journal_name=控制理论与应用&referenced_num=7&reference_num=9