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On an approximation made when analysing stochastic processes

Published online by Cambridge University Press:  14 July 2016

Byron J. T. Morgan  and
John P. Hinde
Byron J. T. Morgan
Affiliation:
University of Kent, Canterbury
John P. Hinde
Affiliation:
University of Kent, Canterbury
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Abstract

We investigate the effect of a particular mode of approximation by means of four examples of its use; in each case the model approximated is a Markov process with discrete states in continuous time.

Keywords

ANTIBODY-VIRUS INTERACTIONAPPROXIMATIONBIRTH-EMIGRATION PROCESSPHAGE-BACTERIUM INTERACTIONTWO-SEX BIRTH-AND-DEATH PROCESS

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 13 , Issue 4 , December 1976 , pp. 672 - 683
Copyright
Copyright © Applied Probability Trust 1976 

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References

Barton, J.A. (1973) Mathematical Models of Group-forming Behaviour. , University of Kent.Google Scholar
Becker, N S. (1970) A stochastic model for two interacting populations. J. Appl. Prob. 7, 544–564.CrossRefGoogle Scholar
Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.Google Scholar
Gani, J. (1965) Stochastic phage attachment to bacteria. Biometrics 21, 134–139.CrossRefGoogle Scholar
Gani, J. (1967a) Models for antibody attachment to virus and bacteriophage. Proc. 5th Berkeley Symp. Math. Statist. Prob. 4, 537–547.Google Scholar
Gani, J. (1967b) A problem of virus populations: attachment and detachment of antibodies. Math. Biosci. 1, 545–554.CrossRefGoogle Scholar
Gani, J. and Srivastava, R. C. (1968) A stochastic model for the attachment and detachment of antibodies to virus. Math. Biosci. 3, 307–322.CrossRefGoogle Scholar
Lewis, T. (1975) A model for the parasitic disease bilharziasis. Adv. Appl. Prob. 7, 673–704.CrossRefGoogle Scholar
Morgan, B. J. T. (1971) On the solution of differential equations arising in some attachment models of virology. J. Appl. Prob. 8, 215–221.CrossRefGoogle Scholar
Ohlsen, S. (1963) Further models for phage reproduction in a bacterium. Biometrics 19, 441–449.CrossRefGoogle Scholar
Puri, P. S. (1968) A note on Gani's models on phage attachment to bacteria. Math. Biosci. 2, 151–157.CrossRefGoogle Scholar
Puri, P. S. (1975) A linear birth and death process under the influence of another process. J. Appl. Prob. 12, 1–17.CrossRefGoogle Scholar
Renshaw, E. (1973) Interconnected population processes. J. Appl. Prob. 10, 1–14.CrossRefGoogle Scholar
Renshaw, E. (1974) Stepping stone models for population growth. J. Appl. Prob. 11, 16–31.CrossRefGoogle Scholar
Srivastava, R. C. (1967) Some aspects of the stochastic model for the attachment of phages to bacteria. J. Appl. Prob. 4, 9–18.CrossRefGoogle Scholar