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Volumn 38, Issue 4, 2001, Pages 898-907

The quasistationary distribution of the stochastic logistic model

Author keywords

Quasistationary distribution; SIS model; Stochastic logistic model; Time to extinction

Indexed keywords


EID: 0035528749     PISSN: 00219002     EISSN: None     Source Type: Journal    
DOI: 10.1239/jap/1011994180     Document Type: Article
Times cited : (61)

References (12)
  • 1
    • 0032268351 scopus 로고    scopus 로고
    • A threshold limit theorem for the stochastic logistic epidemic
    • ANDERSSON, H. AND DJEHICHE, B. (1998). A threshold limit theorem for the stochastic logistic epidemic. J. Appl. Prob. 35, 662-670.
    • (1998) J. Appl. Prob. , vol.35 , pp. 662-670
    • Andersson, H.1    Djehiche, B.2
  • 2
    • 84925899844 scopus 로고
    • Continuous time diffusion models with random duration of interest
    • BARTHOLOMEW, D. J. (1976). Continuous time diffusion models with random duration of interest. J. Math. Sociol. 4, 187-199.
    • (1976) J. Math. Sociol. , vol.4 , pp. 187-199
    • Bartholomew, D.J.1
  • 3
    • 0001383449 scopus 로고
    • On quasi-stationary distributions in absorbing continuous-time finite Markov chains
    • DARROCH, J. N. AND SENETA, E. (1967). On quasi-stationary distributions in absorbing continuous-time finite Markov chains. J. Appl. Prob. 4, 192-196.
    • (1967) J. Appl. Prob. , vol.4 , pp. 192-196
    • Darroch, J.N.1    Seneta, E.2
  • 4
    • 0027305851 scopus 로고
    • The stochastic SI model with recruitment and deaths I. Comparison with the closed SIS model
    • JACQUEZ, J. A. AND SIMON, C. P. (1993). The stochastic SI model with recruitment and deaths I. Comparison with the closed SIS model. Math. Biosci. 117, 77-125.
    • (1993) Math. Biosci. , vol.117 , pp. 77-125
    • Jacquez, J.A.1    Simon, C.P.2
  • 5
    • 0000311552 scopus 로고
    • On the extinction of the S-I-S stochastic logistic epidemic
    • KRYSCIO, R. J. AND LEFÈVRE, C. (1989). On the extinction of the S-I-S stochastic logistic epidemic. J. Appl. Prob. 26, 685-694.
    • (1989) J. Appl. Prob. , vol.26 , pp. 685-694
    • Kryscio, R.J.1    Lefèvre, C.2
  • 6
    • 0000065728 scopus 로고
    • Some demographic and genetic consequences of environmental heterogeneity for biological control
    • LEVINS, R. (1969). Some demographic and genetic consequences of environmental heterogeneity for biological control. Bull. Entomol. Soc. Amer. 15, 237-240.
    • (1969) Bull. Entomol. Soc. Amer. , vol.15 , pp. 237-240
    • Levins, R.1
  • 7
    • 0002242439 scopus 로고
    • The threshold concept in deterministic and stochastic models
    • ed. D. Mollison, Cambridge University Press
    • NÅSELL, I. (1995). The threshold concept in deterministic and stochastic models. In Epidemic Models: Their Structure and Relation to Data, ed. D. Mollison, Cambridge University Press.
    • (1995) Epidemic Models: Their Structure and Relation to Data
    • Nåsell, I.1
  • 8
    • 0000635179 scopus 로고    scopus 로고
    • The quasi-stationary distribution of the closed endemic SIS model
    • NÅSELL, I. (1996). The quasi-stationary distribution of the closed endemic SIS model. Adv. Appl. Prob. 28, 895-932.
    • (1996) Adv. Appl. Prob. , vol.28 , pp. 895-932
    • Nåsell, I.1
  • 9
    • 2542509066 scopus 로고    scopus 로고
    • On the quasi-stationary distribution of the stochastic logistic epidemic
    • NÅSELL, I. (1999). On the quasi-stationary distribution of the stochastic logistic epidemic. Math. Biosci. 156, 21-40.
    • (1999) Math. Biosci. , vol.156 , pp. 21-40
    • Nåsell, I.1
  • 10
    • 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. Appl. Prob. 14, 687-708.
    • (1982) Adv. Appl. Prob. , vol.14 , pp. 687-708
    • Norden, R.H.1
  • 11
    • 0001596101 scopus 로고
    • Stochastic theory of nonlinear rate processes with multiple stationary states
    • OPPENHEIM, I., SHULER, K. E. AND WEISS, G. H. (1977). Stochastic theory of nonlinear rate processes with multiple stationary states. Physica A 88, 191-214.
    • (1977) Physica A , vol.88 , pp. 191-214
    • Oppenheim, I.1    Shuler, K.E.2    Weiss, G.H.3
  • 12
    • 0002618815 scopus 로고
    • On the asymptotic behavior of the stochastic and deterministic models of an epidemic
    • WEISS, G. H. AND DISHON, M. (1971). On the asymptotic behavior of the stochastic and deterministic models of an epidemic. Math. Biosci. 11, 261-265.
    • (1971) Math. Biosci. , vol.11 , pp. 261-265
    • Weiss, G.H.1    Dishon, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.