Existence, uniqueness and exponential stability for stochastic age-dependent population

被引：64

作者：

Qi-Min, Z ^{[1
]}

Wen-An, L

Zan-Kan, N

机构：

[1] Xian Jiaotong Univ, Fac Sci, Sch Sci, Xian 710049, Peoples R China

[2] Ningxia Univ, Yinchuan 750021, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 154卷 / 01期

基金：

中国国家自然科学基金;

关键词：

existence; uniqueness; stability; stochastic population system;

D O I：

10.1016/S0096-3003(03)00702-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a class of stochastic age-dependent population dynamic system. Existence and uniqueness of strong solution are proved for stochastic age-dependent population dynamic system in Hilbert space, using Klmogorou's inequality and Barkholder-Davis-Gundy's lemma, some criteria are obtained for the exponential stability of stochastic age-dependent population dynamic system. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：183 / 201

页数：19

共 14 条

[1] The effects of vaccination in an age-dependent model for varicella and herpes zoster [J].

Allen, LJS ;

Thrasher, DB .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (06) :779-789

[2]

Anita S., 2000, ANAL CONTROL AGE DEP

[3] Population extinction and quasi-stationary behavior in stochastic density-dependent structured models [J].

Block, GL ;

Allen, LJS .

BULLETIN OF MATHEMATICAL BIOLOGY, 2000, 62 (02) :199-228

[4]

Caraballo T., 1991, COLLECT MATH, V42, P51

[5]

Cushing J.M., 1998, An Introduction to Structured Population Dynamics

[6] THE DYNAMICS OF HIERARCHICAL AGE-STRUCTURED POPULATIONS [J].

CUSHING, JM .

JOURNAL OF MATHEMATICAL BIOLOGY, 1994, 32 (07) :705-729

[7] Hierarchical models of intra-specific competition: Scramble versus contest [J].

Henson, SM ;

Cushing, JM .

JOURNAL OF MATHEMATICAL BIOLOGY, 1996, 34 (07) :755-772

[8] PRINCIPAL EIGENVALUES, TOPOLOGICAL PRESSURE, AND STOCHASTIC STABILITY OF EQUILIBRIUM STATES [J].

KIFER, Y .

ISRAEL JOURNAL OF MATHEMATICS, 1990, 70 (01) :1-47

[9]

Mao X., 1994, EXPONENTIAL STABILIT

[10]

Metiver M., 1980, STOCHASTIC INTEGRATI

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