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Volumn 58, Issue 3, 1996, Pages 555-568

The expected extinction time of a population within a system of interacting biological populations

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EID: 0001861946     PISSN: 00928240     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02460596     Document Type: Article
Times cited : (16)

References (16)
  • 1
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    • Gabriel, W.1    Bürger, R.2
  • 3
    • 0020766972 scopus 로고
    • The accuracy of the diffusion approximation to the expected time of extinction for some discrete stochastic processes
    • Grasman, J. and D. Ludwig. 1983. The accuracy of the diffusion approximation to the expected time of extinction for some discrete stochastic processes. J. Appl. Probab. 20, 305-321.
    • (1983) J. Appl. Probab. , vol.20 , pp. 305-321
    • Grasman, J.1    Ludwig, D.2
  • 4
    • 0039541635 scopus 로고
    • An asymptotic solution of the first passage problem for singular diffusion in population biology
    • Hanson, F. B. and C. Tier. 1981. An asymptotic solution of the first passage problem for singular diffusion in population biology. SIAM J. Appl. Math. 40, 113-132.
    • (1981) SIAM J. Appl. Math. , vol.40 , pp. 113-132
    • Hanson, F.B.1    Tier, C.2
  • 5
    • 0016568164 scopus 로고
    • Persistence of dynamical systems under random perturbations
    • Ludwig, D. 1975. Persistence of dynamical systems under random perturbations. SIAM Rev. 17, 65-640.
    • (1975) SIAM Rev. , vol.17 , pp. 65-640
    • Ludwig, D.1
  • 7
    • 0001630503 scopus 로고
    • On the distribution of the time to extinction in the stochastic logistic population model
    • Norden, R. H. 1982. On the distribution of the time to extinction in the stochastic logistic population model. Adv. in Appl. Probab. 14, 687-708.
    • (1982) Adv. in Appl. Probab. , vol.14 , pp. 687-708
    • Norden, R.H.1
  • 8
    • 0004290829 scopus 로고
    • London, UK: Chapman and Hall
    • Pimm, S. L. 1982. Food Webs. London, UK: Chapman and Hall.
    • (1982) Food Webs
    • Pimm, S.L.1
  • 9
    • 9744223887 scopus 로고
    • Equilibrium and extinction in stochastic population dynamics
    • Roozen, H. 1987. Equilibrium and extinction in stochastic population dynamics. Bull. Math. Biol. 49, 1793-1810.
    • (1987) Bull. Math. Biol. , vol.49 , pp. 1793-1810
    • Roozen, H.1
  • 10
    • 0000830143 scopus 로고
    • An asymptotic solution to a two-dimensional exit problem arising in population dynamics
    • Roozen, H. 1989. An asymptotic solution to a two-dimensional exit problem arising in population dynamics. SIAM J. Appl. Math. 49, 1793-1810.
    • (1989) SIAM J. Appl. Math. , vol.49 , pp. 1793-1810
    • Roozen, H.1
  • 12
    • 0023490860 scopus 로고
    • High population persistence in a system with high turnover
    • Schoener, T. W. and D. A. Spiller. 1987. High population persistence in a system with high turnover. Nature 330, 474-477.
    • (1987) Nature , vol.330 , pp. 474-477
    • Schoener, T.W.1    Spiller, D.A.2
  • 15
    • 0029175103 scopus 로고
    • Stochastic epidemics: Major outbreaks and the duration of the endemic period
    • Van Herwaarden, O. A. and J. Grasman. 1995. Stochastic epidemics: major outbreaks and the duration of the endemic period. J. Math. Biol. 33, 581-601.
    • (1995) J. Math. Biol. , vol.33 , pp. 581-601
    • Van Herwaarden, O.A.1    Grasman, J.2
  • 16
    • 0026312335 scopus 로고
    • Extinction of populations by random influences
    • Wissel, C. and S. Stöcker. 1991. Extinction of populations by random influences. Theoret. Population Biol. 30, 315-328.
    • (1991) Theoret. Population Biol. , vol.30 , pp. 315-328
    • Wissel, C.1    Stöcker, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.