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Volumn 9, Issue 2, 2009, Pages 315-333

Global solutions and boundedness of stochastic functional kolmogorov system with infinite delay

Author keywords

Boundedness; Global positive solution; Infinite delay; Lotka Volterra system; M matrix; Stochastic Kolmogorov system

Indexed keywords


EID: 67649132836     PISSN: 02194937     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219493709002695     Document Type: Article
Times cited : (1)

References (21)
  • 1
    • 1942508139 scopus 로고    scopus 로고
    • Stochastic delay Lotka-Volterra model
    • A. Bahar and X. Mao, Stochastic delay Lotka-Volterra model, J. Math. Anal. Appl. 292 (2004) 364-380.
    • (2004) J. Math. Anal. Appl , vol.292 , pp. 364-380
    • Bahar, A.1    Mao, X.2
  • 2
    • 24344490836 scopus 로고    scopus 로고
    • Stochastic delay population dynamics
    • A. Bahar and X. Mao, Stochastic delay population dynamics, Int. J. Pure Appl. Math. 4 (2004) 377-400.
    • (2004) Int. J. Pure Appl. Math , vol.4 , pp. 377-400
    • Bahar, A.1    Mao, X.2
  • 3
    • 0031150106 scopus 로고    scopus 로고
    • Golbal asymptotic stability in a nonautonomous Lotka-Volterra type systems with infinite delay
    • H. Bereketoglu and I. Gyori, Golbal asymptotic stability in a nonautonomous Lotka-Volterra type systems with infinite delay, J. Math. Anal. Appl. 210 (1997) 279-291.
    • (1997) J. Math. Anal. Appl , vol.210 , pp. 279-291
    • Bereketoglu, H.1    Gyori, I.2
  • 5
    • 27144498594 scopus 로고    scopus 로고
    • Global asymptotic stability in n-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control
    • F. Chen, Global asymptotic stability in n-species non-autonomous Lotka-Volterra competitive systems with infinite delays and feedback control, Appl. Math. Comput. 170 (2005) 1452-1468.
    • (2005) Appl. Math. Comput , vol.170 , pp. 1452-1468
    • Chen, F.1
  • 7
    • 0347577837 scopus 로고    scopus 로고
    • Global attractivity in scalar delayed differential equations with applications to population models
    • T. Faria, Global attractivity in scalar delayed differential equations with applications to population models, J. Math. Anal. Appl. 289 (2004) 35-54.
    • (2004) J. Math. Anal. Appl , vol.289 , pp. 35-54
    • Faria, T.1
  • 8
    • 0037091608 scopus 로고    scopus 로고
    • Permanece for a large class of planar periodic Kolmogorov systems
    • B. Granados, Permanece for a large class of planar periodic Kolmogorov systems, J. Math. Anal. Appl. 268 (2002) 701-706.
    • (2002) J. Math. Anal. Appl , vol.268 , pp. 701-706
    • Granados, B.1
  • 9
    • 0001293981 scopus 로고
    • Global stability for infinite delay Lotka-Volterra type systems
    • Y. Kuang and H. L. Smith, Global stability for infinite delay Lotka-Volterra type systems, J. Diff. Eqns. 103 (1993) 221-246.
    • (1993) J. Diff. Eqns , vol.103 , pp. 221-246
    • Kuang, Y.1    Smith, H.L.2
  • 12
    • 0242563961 scopus 로고    scopus 로고
    • Environmental noise supresses explosion in population dynamics
    • X. Mao, G. Marion and E. Renshaw, Environmental noise supresses explosion in population dynamics, Stoch. Process. Appl. 97 (2002) 96-110.
    • (2002) Stoch. Process. Appl , vol.97 , pp. 96-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 13
    • 0242676984 scopus 로고    scopus 로고
    • Asymptotic behaviour of the stochastic Lotka-Volterra model
    • X. Mao, S. Sabanis and E. Renshaw, Asymptotic behaviour of the stochastic Lotka-Volterra model, J. Math. Anal. Appl. 287 (2003) 141-156.
    • (2003) J. Math. Anal. Appl , vol.287 , pp. 141-156
    • Mao, X.1    Sabanis, S.2    Renshaw, E.3
  • 14
    • 7444272640 scopus 로고    scopus 로고
    • Persistence and global stability in Lotka-Volterra delay differential systems
    • Y. Muroya, Persistence and global stability in Lotka-Volterra delay differential systems, Appl. Math. Lett. 17 (2004) 759-800.
    • (2004) Appl. Math. Lett , vol.17 , pp. 759-800
    • Muroya, Y.1
  • 16
    • 0029690373 scopus 로고    scopus 로고
    • Permanence in Kolmogorov-type systems of nonautonomous functional differential equations
    • B. Tang and Y. Kuang, Permanence in Kolmogorov-type systems of nonautonomous functional differential equations, J. Math. Anal. Appl. 197 (1996) 427-447.
    • (1996) J. Math. Anal. Appl , vol.197 , pp. 427-447
    • Tang, B.1    Kuang, Y.2
  • 17
    • 0343826890 scopus 로고    scopus 로고
    • The almost periodic Kolmogorove competitive systems
    • Z. Teng, The almost periodic Kolmogorove competitive systems, Nonlinear Anal. 42 (2000) 1221-1230.
    • (2000) Nonlinear Anal , vol.42 , pp. 1221-1230
    • Teng, Z.1
  • 18
    • 0037845281 scopus 로고    scopus 로고
    • Existence of global attractors for a class of periodic Kolmogorov systems
    • A. Tineo, Existence of global attractors for a class of periodic Kolmogorov systems, J. Math. Anal. Appl. 279 (2003) 365-371.
    • (2003) J. Math. Anal. Appl , vol.279 , pp. 365-371
    • Tineo, A.1
  • 19
    • 35548943221 scopus 로고    scopus 로고
    • Asymptotic periodicity of the Volterra equation with infinite delay
    • J. Wang, L. Zhou and Y. Tang, Asymptotic periodicity of the Volterra equation with infinite delay, Nonlinear Anal. 68 (2008) 315-328.
    • (2008) Nonlinear Anal , vol.68 , pp. 315-328
    • Wang, J.1    Zhou, L.2    Tang, Y.3
  • 20
    • 67649108372 scopus 로고    scopus 로고
    • The existence and uniqueness of the solution for stochastic funcitonal differential equations with infinite delay
    • F. Wei and K. Wang, The existence and uniqueness of the solution for stochastic funcitonal differential equations with infinite delay, J. Math. Anal. Appl. 20 (2007) 827-830.
    • (2007) J. Math. Anal. Appl , vol.20 , pp. 827-830
    • Wei, F.1    Wang, K.2
  • 21
    • 0037102872 scopus 로고    scopus 로고
    • Global asymptotic stability in n-species nonautonmous Lotka-Volterra competitive systems with infinited delays
    • R. Xu, M. A. J. Chaplain and L. Chen, Global asymptotic stability in n-species nonautonmous Lotka-Volterra competitive systems with infinited delays, Appl. Math. Comput. 130 (2002) 295-309.
    • (2002) Appl. Math. Comput , vol.130 , pp. 295-309
    • Xu, R.1    Chaplain, M.A.J.2    Chen, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.