Dynamics of Kolmogorov systems of competitive type under the telegraph noise

被引：29

作者：

Nguyen Huu Du ^{[1
]}

Nguyen Hai Dang ^{[1
]}

机构：

[1] Hanoi Natl Univ, Fac Math Mech & Informat, Hanoi, Vietnam

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 01期

关键词：

Kolmogorov systems of competitive type; Telegraph noise; Stationary distribution; omega limit set; PERSISTENCE; STABILITY; BOUNDEDNESS; ATTRACTION; BEHAVIOR;

D O I：

10.1016/j.jde.2010.08.023

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the dynamics of Kolmogorov systems of competitive type under the telegraph noise The telegraph noise switches at random two Kolmogorov competition-type deterministic models The aim of this work is to describe the omega-limit set of the system and investigates properties of stationary density (C) 2010 Elsevier Inc All rights reserved

引用

页码：386 / 409

页数：24

共 22 条

[11] UNIFORM PERSISTENCE IN FUNCTIONAL-DIFFERENTIAL EQUATIONS
FREEDMAN, HI
RUAN, SG
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 115 (01) : 173 - 192
[12] GIHMAN H, 1979, THEORY STOCHASTIC PR
[13] Golec J, 2003, MATH COMPUT MODEL, V38, P585, DOI [10.1016/S0895-7177(03)90029-X, 10.1016/S0895-7177(03)00253-X]
[14] Han XL, 2006, DYNAM CONT DIS SER A, V13, P367
[15] CONSERVATIVE MARKOV PROCESSES ON A TOPOLOGICAL SPACE
LIN, M
[J]. ISRAEL JOURNAL OF MATHEMATICS, 1970, 8 (02) : 165 - &
[16] Stochastic population dynamics under regime switching
Luo, Qi
Mao, Xuerong
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 69 - 84
[17] Attraction, stability and boundedness for stochastic differential delay equations
Mao, XR
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) : 4795 - 4806
[18] Continuous Markov semigroups and stability of transport equations
Pichór, K
Rudnicki, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 249 (02) : 668 - 685
[19] Carrying simplices in nonautonomous and random competitive Kolmogorov systems
Shen, Wenxian
Wang, Yi
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2008, 245 (01) : 1 - 29
[20] Teng ZD, 2000, NONLINEAR ANAL-THEOR, V42, P1221

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