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Volumn 233, Issue 10, 2010, Pages 2563-2574

The maximum number of infected individuals in SIS epidemic models: Computational techniques and quasi-stationary distributions

Author keywords

Absorption probabilities; Extinction time; Maximum number of infected individuals; Quasi stationary distribution; Stochastic SIS epidemic model; Transient distribution

Indexed keywords

ABSORBING STATE; BIRTH-DEATH PROCESS; COMPUTATIONAL SCHEMES; COMPUTATIONAL TECHNIQUE; EPIDEMIC MODELS; EXTINCTION TIME; QUASI-STATIONARY DISTRIBUTION; SUSCEPTIBLE-INFECTED-SUSCEPTIBLE MODEL; TRANSIENT DISTRIBUTION; TRANSIENT REGIME;

EID: 73449086627     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2009.11.003     Document Type: Article
Times cited : (29)

References (27)
  • 2
    • 0007160306 scopus 로고    scopus 로고
    • Epidemic Modelling: An Introduction
    • Cambridge University Press, Cambridge
    • Daley D.J., and Gani J. Epidemic Modelling: An Introduction. Cambridge Studies in Mathematical Biology 15 (1999), Cambridge University Press, Cambridge
    • (1999) Cambridge Studies in Mathematical Biology , vol.15
    • Daley, D.J.1    Gani, J.2
  • 3
    • 1042264090 scopus 로고    scopus 로고
    • Mathematical Epidemiology of Infectious Diseases: Model Building
    • John Wiley & Sons, Chichester
    • Diekmann O., and Heesterbeek J.A.P. Mathematical Epidemiology of Infectious Diseases: Model Building. Analysis and Interpretation (2000), John Wiley & Sons, Chichester
    • (2000) Analysis and Interpretation
    • Diekmann, O.1    Heesterbeek, J.A.P.2
  • 5
    • 0041519201 scopus 로고    scopus 로고
    • A mathematical study of a model for childhood diseases with non-permanent immunity
    • Moghadas S.M., and Gumel A.B. A mathematical study of a model for childhood diseases with non-permanent immunity. Journal of Computational and Applied Mathematics 157 (2003) 347-363
    • (2003) Journal of Computational and Applied Mathematics , vol.157 , pp. 347-363
    • Moghadas, S.M.1    Gumel, A.B.2
  • 6
    • 33746834593 scopus 로고    scopus 로고
    • Bifurcation analysis of a population model and the resulting SIS epidemic model with delay
    • Wei J., and Zou X. Bifurcation analysis of a population model and the resulting SIS epidemic model with delay. Journal of Computational and Applied Mathematics 197 (2006) 169-187
    • (2006) Journal of Computational and Applied Mathematics , vol.197 , pp. 169-187
    • Wei, J.1    Zou, X.2
  • 7
    • 33846576177 scopus 로고    scopus 로고
    • Permanence of a delayed SIR epidemic model with density dependent birth rate
    • Song M., Ma W., and Takeuchi Y. Permanence of a delayed SIR epidemic model with density dependent birth rate. Journal of Computational and Applied Mathematics 201 (2007) 389-394
    • (2007) Journal of Computational and Applied Mathematics , vol.201 , pp. 389-394
    • Song, M.1    Ma, W.2    Takeuchi, Y.3
  • 8
    • 33846561621 scopus 로고    scopus 로고
    • Global stability of a delayed SIR epidemic model with density dependent birth and death rates
    • Yoshida N., and Hara T. Global stability of a delayed SIR epidemic model with density dependent birth and death rates. Journal of Computational and Applied Mathematics 201 (2007) 339-347
    • (2007) Journal of Computational and Applied Mathematics , vol.201 , pp. 339-347
    • Yoshida, N.1    Hara, T.2
  • 9
    • 27944465693 scopus 로고    scopus 로고
    • A stochastic SIS infection model incorporating indirect transmission
    • Clancy D. A stochastic SIS infection model incorporating indirect transmission. Journal of Applied Probability 42 (2005) 726-737
    • (2005) Journal of Applied Probability , vol.42 , pp. 726-737
    • Clancy, D.1
  • 11
    • 34547691348 scopus 로고    scopus 로고
    • Stochastic model of an influenza epidemic with drug resistance
    • Xu Y., Allen L.J.S., and Perelson A.S. Stochastic model of an influenza epidemic with drug resistance. Journal of Theoretical Biology 248 (2007) 179-193
    • (2007) Journal of Theoretical Biology , vol.248 , pp. 179-193
    • Xu, Y.1    Allen, L.J.S.2    Perelson, A.S.3
  • 12
    • 39649125153 scopus 로고    scopus 로고
    • Network epidemic models with two levels of mixing
    • Ball F., and Neal P. Network epidemic models with two levels of mixing. Mathematical Biosciences 212 (2008) 69-87
    • (2008) Mathematical Biosciences , vol.212 , pp. 69-87
    • Ball, F.1    Neal, P.2
  • 13
    • 39649083110 scopus 로고    scopus 로고
    • On the time to extinction for a two-type version of Bartlett's epidemic model
    • Lindholm M. On the time to extinction for a two-type version of Bartlett's epidemic model. Mathematical Biosciences 212 (2008) 99-108
    • (2008) Mathematical Biosciences , vol.212 , pp. 99-108
    • Lindholm, M.1
  • 15
    • 0035822368 scopus 로고    scopus 로고
    • Extinction and quasi-stationarity in the Verhulst logistic model
    • Nasell I. Extinction and quasi-stationarity in the Verhulst logistic model. Journal of Theoretical Biology 211 (2001) 11-27
    • (2001) Journal of Theoretical Biology , vol.211 , pp. 11-27
    • Nasell, I.1
  • 17
    • 0039818686 scopus 로고
    • The distribution of the maximum length of a Poisson queue during a busy period
    • Neuts M.F. The distribution of the maximum length of a Poisson queue during a busy period. Operations Research 12 (1964) 281-285
    • (1964) Operations Research , vol.12 , pp. 281-285
    • Neuts, M.F.1
  • 18
  • 20
    • 33746597896 scopus 로고    scopus 로고
    • Algorithmic analysis of the maximal level length in general-block two-dimensional Markov processes
    • Article ID 53570
    • Artalejo J.R., and Chakravarthy S.R. Algorithmic analysis of the maximal level length in general-block two-dimensional Markov processes. Mathematical Problems in Engineering (2006) 1-15 Article ID 53570
    • (2006) Mathematical Problems in Engineering , pp. 1-15
    • Artalejo, J.R.1    Chakravarthy, S.R.2
  • 21
    • 73449134847 scopus 로고    scopus 로고
    • J.R. Artalejo, On the transient behavior of the maximum level length in structured Markov chains, 2009 (submitted for publication)
    • J.R. Artalejo, On the transient behavior of the maximum level length in structured Markov chains, 2009 (submitted for publication)


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