메뉴 건너뛰기




Volumn 391, Issue 2, 2012, Pages 363-375

Stochastic population dynamics driven by Lévy noise

Author keywords

Brownian motion; Exponential martingale inequality with jumps; L vy noise; Pathwise estimation

Indexed keywords


EID: 84858280723     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2012.02.043     Document Type: Article
Times cited : (218)

References (18)
  • 2
    • 1942508139 scopus 로고    scopus 로고
    • Stochastic delay Lotka-Volterra model
    • Bahar A., Mao X. Stochastic delay Lotka-Volterra model. J. Math. Anal. Appl. 2004, 292:364-380.
    • (2004) J. Math. Anal. Appl. , vol.292 , pp. 364-380
    • Bahar, A.1    Mao, X.2
  • 3
    • 80051597036 scopus 로고    scopus 로고
    • Competitive Lotka-Volterra population dynamics with jumps
    • Bao J., Mao X., Yin G., Yuan C. Competitive Lotka-Volterra population dynamics with jumps. Nonlinear Anal. 2011, 74:6601-6616.
    • (2011) Nonlinear Anal. , vol.74 , pp. 6601-6616
    • Bao, J.1    Mao, X.2    Yin, G.3    Yuan, C.4
  • 4
    • 78149359955 scopus 로고    scopus 로고
    • Stochastic Lotka-Volterra models with multiple delays
    • Hu Y., Wu F., Huang C. Stochastic Lotka-Volterra models with multiple delays. J. Math. Anal. Appl. 2011, 375:42-57.
    • (2011) J. Math. Anal. Appl. , vol.375 , pp. 42-57
    • Hu, Y.1    Wu, F.2    Huang, C.3
  • 5
    • 79251596653 scopus 로고    scopus 로고
    • Stochastic differential delay equations with jumps, under nonlinear growth condition
    • Jacob N., Wang Y., Yuan C. Stochastic differential delay equations with jumps, under nonlinear growth condition. Stochastics 2009, 81:571-588.
    • (2009) Stochastics , vol.81 , pp. 571-588
    • Jacob, N.1    Wang, Y.2    Yuan, C.3
  • 6
    • 0003649950 scopus 로고
    • Sijthoff and Noordfoff, Alphen, translation of the Russian edition, Nauka, Moscow
    • Khasminskii R. Stochastic Stability of Differential Equations 1969, Sijthoff and Noordfoff, Alphen, translation of the Russian edition, Nauka, Moscow.
    • (1969) Stochastic Stability of Differential Equations
    • Khasminskii, R.1
  • 7
    • 0036537615 scopus 로고    scopus 로고
    • A note on the LaSalle-type theorems for stochastic differential delay equations
    • Mao X. A note on the LaSalle-type theorems for stochastic differential delay equations. J. Math. Anal. Appl. 2002, 268:125-142.
    • (2002) J. Math. Anal. Appl. , vol.268 , pp. 125-142
    • Mao, X.1
  • 8
    • 0242563961 scopus 로고    scopus 로고
    • Environmental Brownian noise suppresses explosions in population dynamics
    • Mao X., Marion G., Renshaw E. Environmental Brownian noise suppresses explosions in population dynamics. Stochastic Process. Appl. 2002, 97:95-110.
    • (2002) Stochastic Process. Appl. , vol.97 , pp. 95-110
    • Mao, X.1    Marion, G.2    Renshaw, E.3
  • 9
    • 0242676984 scopus 로고    scopus 로고
    • Asymptotic behaviour of the stochastic Lotka-Volterra model
    • Mao X., Sabanis S., Renshaw E. Asymptotic behaviour of the stochastic Lotka-Volterra model. J. Math. Anal. Appl. 2003, 287:141-156.
    • (2003) J. Math. Anal. Appl. , vol.287 , pp. 141-156
    • Mao, X.1    Sabanis, S.2    Renshaw, E.3
  • 11
    • 14644388229 scopus 로고    scopus 로고
    • Stochastic differential delay equations of population dynamics
    • Mao X., Yuan C., Zou J. Stochastic differential delay equations of population dynamics. J. Math. Anal. Appl. 2005, 304:296-320.
    • (2005) J. Math. Anal. Appl. , vol.304 , pp. 296-320
    • Mao, X.1    Yuan, C.2    Zou, J.3
  • 12
    • 0043229613 scopus 로고    scopus 로고
    • Stability for multidimensional jump-diffusion processes
    • Wee I.S. Stability for multidimensional jump-diffusion processes. Stochastic Process. Appl. 1999, 80:193-209.
    • (1999) Stochastic Process. Appl. , vol.80 , pp. 193-209
    • Wee, I.S.1
  • 13
    • 48849113478 scopus 로고    scopus 로고
    • Stochastic functional Kolmogorov-type population dynamics
    • Wu F., Hu S. Stochastic functional Kolmogorov-type population dynamics. J. Math. Anal. Appl. 2008, 347:534-549.
    • (2008) J. Math. Anal. Appl. , vol.347 , pp. 534-549
    • Wu, F.1    Hu, S.2
  • 14
    • 77955125927 scopus 로고    scopus 로고
    • Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system
    • Wu F., Hu Y. Existence and uniqueness of global positive solutions to the stochastic functional Kolmogorov-type system. IMA J. Appl. Math. 2010, 75:317-332.
    • (2010) IMA J. Appl. Math. , vol.75 , pp. 317-332
    • Wu, F.1    Hu, Y.2
  • 15
    • 68349154085 scopus 로고    scopus 로고
    • Stochastic Lotka-Volterra population dynamics with infinite delay
    • Wu F., Xu Y. Stochastic Lotka-Volterra population dynamics with infinite delay. SIAM J. Appl. Math. 2009, 70:641-657.
    • (2009) SIAM J. Appl. Math. , vol.70 , pp. 641-657
    • Wu, F.1    Xu, Y.2
  • 16
    • 77954789113 scopus 로고    scopus 로고
    • Stochastic hybrid delay population dynamics: well-posed models and extinction
    • Yuan C., Mao X., Lygeros J. Stochastic hybrid delay population dynamics: well-posed models and extinction. J. Biol. Dyn. 2009, 3:1-21.
    • (2009) J. Biol. Dyn. , vol.3 , pp. 1-21
    • Yuan, C.1    Mao, X.2    Lygeros, J.3
  • 17
    • 72149109277 scopus 로고    scopus 로고
    • On hybrid competitive Lotka-Volterra ecosystems
    • Zhu C., Yin G. On hybrid competitive Lotka-Volterra ecosystems. Nonlinear Anal. 2009, 71:e1370-e1379.
    • (2009) Nonlinear Anal. , vol.71
    • Zhu, C.1    Yin, G.2
  • 18
    • 67349095282 scopus 로고    scopus 로고
    • On competitive Lotka-Volterra model in random environments
    • Zhu C., Yin G. On competitive Lotka-Volterra model in random environments. J. Math. Anal. Appl. 2009, 357:154-170.
    • (2009) J. Math. Anal. Appl. , vol.357 , pp. 154-170
    • Zhu, C.1    Yin, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.