Exponential stability of stochastic age-dependent population with diffusion

被引：0
|
作者：
Han, Huili [1 ]
Zhang, Qimin [1 ]
机构：
[1] Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China
来源：
ADVANCED RESEARCH ON MATERIAL ENGINEERING, CHEMISTRY AND BIOINFORMATICS, PTS 1 AND 2 (MECB 2011) | 2011年 / 282-283卷
关键词：
almost sure stability; stochastic population system; Ito's formula; EVOLUTION EQUATIONS; SYSTEM;
D O I：
10.4028/www.scientific.net/AMR.282-283.231
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a class of stochastic age-dependent population dynamic system with diffusion is introduced. Exponential stability of paths of a strong solution for stochastic age-dependent population dynamic system in Hilbert space is established. The analyses use exponential martingale formula, Lyapunov functional and some special inequalities for our stability purposes. Various sufficient conditions are obtained to ensure the stability of the strong solutions. In particular, by means of our results we loosen the condition of stability.
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页码：231 / 235
页数：5
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