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.

引用

下载

页码：231 / 235

页数：5

共 50 条

[1] Existence, uniqueness and exponential stability for stochastic age-dependent population
Qi-Min, Z
Wen-An, L
Zan-Kan, N
APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (01) : 183 - 201
[2] Exponential stability of numerical solutions to stochastic age-dependent population equations
Pang, W. K.
Li Ronghua
Liu Ming
APPLIED MATHEMATICS AND COMPUTATION, 2006, 183 (01) : 152 - 159
[3] Exponential stability of numerical solutions to stochastic age-dependent population equations with Poisson jumps
Wei, Mao
World Academy of Science, Engineering and Technology, 2011, 55 : 1103 - 1108
[4] Numerical Analysis for Stochastic Age-Dependent Population Equations with Diffusion
He, Jian
ADVANCES IN ELECTRONIC COMMERCE, WEB APPLICATION AND COMMUNICATION, VOL 2, 2012, 149 : 37 - 43
[5] Existence, uniqueness and exponential stability for stochastic fuzzy age-dependent capital system
1600, Centre for Environment Social and Economic Research, Post Box No. 113, Roorkee, 247667, India (51):
[6] STABILITY OF AN AGE-DEPENDENT POPULATION
WANG, FJS
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1980, 11 (04) : 683 - 689
[7] Practical exponential stability of stochastic age-dependent capital system with Levy noise
Ma, Weijun
Luo, Xiaohu
Zhu, Quanxin
SYSTEMS & CONTROL LETTERS, 2020, 144
[8] Uncertain Stochastic Hybrid Age-Dependent Population Equation Based on Subadditive Measure: Existence, Uniqueness and Exponential Stability
Jia, Zhifu
Liu, Xinsheng
SYMMETRY-BASEL, 2023, 15 (08):
[9] Asymptotic stability of stochastic age-dependent population equations with Markovian switching
Ma, Weijun
Zhang, Qimin
Wang, Zhanping
APPLIED MATHEMATICS AND COMPUTATION, 2014, 227 : 309 - 319
[10] NONLINEAR AGE-DEPENDENT POPULATION DIFFUSION
DIBLASIO, G
JOURNAL OF MATHEMATICAL BIOLOGY, 1979, 8 (03) : 265 - 284

← 1 2 3 4 5 →