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Volumn 355, Issue 2, 2009, Pages 577-593

Stochastic population dynamics under regime switching II

Author keywords

Average in time; Brownian motion; Extinction; It 's formula; Markov chain; Stochastic differential equation

Indexed keywords


EID: 62549127716     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2009.02.010     Document Type: Article
Times cited : (105)

References (27)
  • 2
    • 24344490836 scopus 로고    scopus 로고
    • Stochastic delay population dynamics
    • Bahar A., and Mao X. Stochastic delay population dynamics. 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
  • 4
    • 0004120092 scopus 로고
    • Boucher D.H. (Ed), Groom Helm, London
    • In: Boucher D.H. (Ed). The Biology of Mutualism (1985), Groom Helm, London
    • (1985) The Biology of Mutualism
  • 6
    • 3042531306 scopus 로고    scopus 로고
    • Dynamical behaviour of Lotka-Volterra competition systems: Non-autonomous bistable case and the effect of telegraph noise
    • Du N.H., Kon R., Sato K., and Takeuchi Y. Dynamical behaviour of Lotka-Volterra competition systems: Non-autonomous bistable case and the effect of telegraph noise. J. Comput. Appl. Math. 170 (2004) 399-422
    • (2004) J. Comput. Appl. Math. , vol.170 , pp. 399-422
    • Du, N.H.1    Kon, R.2    Sato, K.3    Takeuchi, Y.4
  • 7
    • 0001723867 scopus 로고
    • Uniform persistence in functional differential equations
    • Freedman H.I., and Ruan S. Uniform persistence in functional differential equations. J. Differential Equations 115 (1995) 173-192
    • (1995) J. Differential Equations , vol.115 , pp. 173-192
    • Freedman, H.I.1    Ruan, S.2
  • 11
    • 0031260789 scopus 로고    scopus 로고
    • Persistence, attractivity, and delay in facultative mutualism
    • He X., and Gopalsamy K. Persistence, attractivity, and delay in facultative mutualism. J. Math. Anal. Appl. 215 (1997) 154-175
    • (1997) J. Math. Anal. Appl. , vol.215 , pp. 154-175
    • He, X.1    Gopalsamy, K.2
  • 12
    • 0026616222 scopus 로고
    • Permanence and the dynamics of biological systems
    • Hutson V., and Schmitt K. Permanence and the dynamics of biological systems. Math. Biosci. 111 (1992) 1-71
    • (1992) Math. Biosci. , vol.111 , pp. 1-71
    • Hutson, V.1    Schmitt, K.2
  • 14
    • 0001799804 scopus 로고
    • A permanence theorem for replicator and Lotka-Volterra system
    • Jansen W. A permanence theorem for replicator and Lotka-Volterra system. J. Math. Biol. 25 (1987) 411-422
    • (1987) J. Math. Biol. , vol.25 , pp. 411-422
    • Jansen, W.1
  • 15
    • 11144264348 scopus 로고
    • Permanence of some ecological systems with several predator and one prey species
    • Kirlinger G. Permanence of some ecological systems with several predator and one prey species. J. Math. Biol. 26 (1988) 217-232
    • (1988) J. Math. Biol. , vol.26 , pp. 217-232
    • Kirlinger, G.1
  • 16
    • 34249314701 scopus 로고    scopus 로고
    • Stochastic population dynamics under regime switching
    • Luo Q., and Mao X. Stochastic population dynamics under regime switching. J. Math. Anal. Appl. 334 (2007) 69-84
    • (2007) J. Math. Anal. Appl. , vol.334 , pp. 69-84
    • Luo, Q.1    Mao, X.2
  • 20
    • 0003182919 scopus 로고    scopus 로고
    • Stability of stochastic differential equations with Markovian switching
    • Mao X. Stability of stochastic differential equations with Markovian switching. Stochastic Process. Appl. 79 (1999) 45-67
    • (1999) Stochastic Process. Appl. , vol.79 , pp. 45-67
    • Mao, X.1
  • 21
    • 0242563961 scopus 로고    scopus 로고
    • Environmental noise suppresses explosion in population dynamics
    • Mao X., Marion G., and Renshaw E. Environmental noise suppresses 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
  • 24
    • 0039745765 scopus 로고
    • The dynamics of a population in a Markovian environment
    • Slatkin M. The dynamics of a population in a Markovian environment. Ecology 59 (1978) 249-256
    • (1978) Ecology , vol.59 , pp. 249-256
    • Slatkin, M.1
  • 26
    • 33751110460 scopus 로고    scopus 로고
    • Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
    • Takeuchi Y., Du N.H., Hieu N.T., and Sato K. Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment. J. Math. Anal. Appl. 323 2 (2006) 938-957
    • (2006) J. Math. Anal. Appl. , vol.323 , Issue.2 , pp. 938-957
    • Takeuchi, Y.1    Du, N.H.2    Hieu, N.T.3    Sato, K.4
  • 27
    • 0000495701 scopus 로고
    • Models of facultative mutualism: Density effects
    • Wolin C.L., and Lawlor L.R. Models of facultative mutualism: Density effects. Amer. Natur. 124 (1984) 843-862
    • (1984) Amer. Natur. , vol.124 , pp. 843-862
    • Wolin, C.L.1    Lawlor, L.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.