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Volumn 14, Issue 1, 2010, Pages 275-288

Stochastic Lotka-Volterra system with unbounded distributed delay

Author keywords

Extinction; Global solutions; Pathwise estimation; Stochastic lotka volterra system

Indexed keywords


EID: 77957773484     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2010.14.275     Document Type: Article
Times cited : (8)

References (20)
  • 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 dynamcis
    • A. Bahar and X. Mao, Stochastic delay population dynamcis, Int. J. Pure Appl. Math., 11 (2004), 377-400.
    • (2004) Int. J. Pure Appl. Math. , vol.11 , pp. 377-400
    • Bahar, A.1    Mao, X.2
  • 3
    • 0031150106 scopus 로고    scopus 로고
    • Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay
    • H. Bereketoglu and I. Gyôri, Global asymptotic stability in a nonautonomous Lotka-Volterra type system with infinite delay, J. Math. Anal. Appl., 210 (1997), 279-291.
    • (1997) J. Math. Anal. Appl. , vol.210 , pp. 279-291
    • Bereketoglu, H.1    Gyôri, I.2
  • 4
    • 0001143532 scopus 로고
    • Global stability and oscillations in many species
    • B. S. Goh, Global stability and oscillations in many species, Amer. Natur., 111 (1977), 135-143.
    • (1977) Amer. Natur. , vol.111 , pp. 135-143
    • Goh, B.S.1
  • 6
    • 0032138492 scopus 로고    scopus 로고
    • The Lyapunov functionals for delay Lotka-Volterra-type models
    • X. He, The Lyapunov functionals for delay Lotka-Volterra-type models, SIAM J. Appl. Math., 58 (1998), 1222-1236.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 1222-1236
    • He, X.1
  • 7
    • 0001293981 scopus 로고
    • Global stability for infinite delay Lotka-Volterra type system
    • Y. Kuang and H. L. Smith, Global stability for infinite delay Lotka-Volterra type system, J. Differential Equations, 103 (1993), 221-246.
    • (1993) J. Differential Equations , vol.103 , pp. 221-246
    • Kuang, Y.1    Smith, H.L.2
  • 9
    • 38249031143 scopus 로고
    • Global stability for large systems of Volterra-Lotka type integrodifferential population delay equations
    • A. Leung and Z. Zhou, Global stability for large systems of Volterra-Lotka type integrodifferential population delay equations, Nonlinear Anal. 12 (1988), 495-505.
    • (1988) Nonlinear Anal. , vol.12 , pp. 495-505
    • Leung, A.1    Zhou, Z.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, Stochastic Process. Appl., 97 (2002), 95-110.
    • (2002) Stochastic Process. Appl. , vol.97 , pp. 95-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 13
    • 33746315382 scopus 로고    scopus 로고
    • Delay population dynamics and environmental noise
    • X. Mao, Delay population dynamics and environmental noise, Stoch. Dyn., 5 (2005), 149-162.
    • (2005) Stoch. Dyn. , vol.5 , pp. 149-162
    • Mao, X.1
  • 14
    • 35248832077 scopus 로고    scopus 로고
    • Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay
    • X. Meng and L. Chen, Periodic solution and almost periodic solution for a nonautonomous Lotka-Volterra dispersal system with infinite delay, J. Math. Anal. Appl., 339 (2008), 125-145.
    • (2008) J. Math. Anal. Appl. , vol.339 , pp. 125-145
    • Meng, X.1    Chen, L.2
  • 15
    • 33747346236 scopus 로고    scopus 로고
    • Persistence in nonautonomous predatorprey systems with infinite delay
    • Z. Teng and M. Rehim, Persistence in nonautonomous predatorprey systems with infinite delay, J. Comput. and Appl. Math., 197 (2006), 302-321.
    • (2006) J. Comput. and Appl. Math. , vol.197 , pp. 302-321
    • Teng, Z.1    Rehim, M.2
  • 16
    • 33947105991 scopus 로고    scopus 로고
    • The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
    • F. Wei and K. Wang, The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay, J. Math. Anal. Appl., 331 (2007), 516-531.
    • (2007) J. Math. Anal. Appl. , vol.331 , pp. 516-531
    • Wei, F.1    Wang, K.2
  • 17
    • 48849113478 scopus 로고    scopus 로고
    • Stochastic functional Kolmogorov-type population dynamics
    • F.Wu and S. Hu, Stochastic functional Kolmogorov-type population dynamics, J. Math. Anal. Appl., 347 (2008), 534-549.
    • (2008) J. Math. Anal. Appl. , vol.347 , pp. 534-549
    • Wu, F.1    Hu, S.2
  • 19
    • 68349154085 scopus 로고    scopus 로고
    • Stochastic Lotka-Volterra population dynamics with infinite delay
    • F. Wu and Y. Xu, Stochastic Lotka-Volterra population dynamics with infinite delay, SIAM J. Appl. Math., 70 (2009), 641-657.
    • (2009) SIAM J. Appl. Math. , vol.70 , pp. 641-657
    • Wu, F.1    Xu, Y.2
  • 20
    • 67649132836 scopus 로고    scopus 로고
    • Global solutions and boundedness of stochastic functional Kolmogorov system with infinite delay
    • Y. Xu, F. Wu and S. Hu, Global solutions and boundedness of stochastic functional Kolmogorov system with infinite delay, Stoch. Dyn., 9 (2009), 315-333.
    • (2009) Stoch. Dyn. , vol.9 , pp. 315-333
    • Xu, Y.1    Wu, F.2    Hu, S.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.