Ultimate boundedness of stochastic functional kolmogorov-type systems

Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms

Volumn 16, Issue 2, 2009, Pages 281-301

  Fuke, Wu ^a   Yangzi, Hu ^a  

^a HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Kolmogorov type system; Lotkavolterra system; Pth moment boundedness; Stochastic functional differential equations; Stochastically ultimate boundedness

Indexed keywords

EID: 70449723669     PISSN: 14928760     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. A. Bahar, X. Mao, Stochastic delay Lotka-Volterra model, Journal mathematical analysis and applications, 292 (2004) 364-380.
2. A. Bahar, X. Mao, Stochastic delay population dynamcis, International Journal of pure and applied mathematics, 11(2004) 377-400.
3. B. M. Gary, A functional equation characterizing monomial functions used in permanence theory for ecological differential equation, Universitatis Iagellonicae acta mathematica, Fasciculus XLII, 2004.
4. X. Han, Z. Teng, D. Xiao, Persistence and average persistence of a nonautonomous Kolmogorov system, Chaos, Solitons and Fractals, 30(2006) 748-758
5. [5] X. Mao, G. Marion, E. Renshaw, Environmental noise supresses explosion in population dynamics, Stochastic process and applications, 97 (2002) 95-110. (Pubitemid 40030718)
6. J. D. Murray, Mathematical biology, I. an introduction, Springer, third edition, 2002.
7. S. Pang, F. Deng, X. Mao, Asymptotic properties of stochastic population dynamics, To appear in Dynamics of continuous, discrete and impulsive systems.
8. [8] B. Tang, Y. Kuang, Permanence in Kolmogorov-type systems of nonautonomous functional differential equations, Journal of Mathematical analysis and applications, 197 (1996) 427-447. (Pubitemid 126170971)
9. Z. Teng, The almost periodic Kolmogorov competitive sysems, Nonlinear analysis, 42(2000) 1221-1230