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On an approximation made when analysing stochastic processes

  • Byron J. T. Morgan (a1) and John P. Hinde (a1)

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.

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References

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Barton, J.A. (1973) Mathematical Models of Group-forming Behaviour. , University of Kent.
Becker, N S. (1970) A stochastic model for two interacting populations. J. Appl. Prob. 7, 544564.
Cox, D. R. and Miller, H. D. (1965) The Theory of Stochastic Processes. Methuen, London.
Gani, J. (1965) Stochastic phage attachment to bacteria. Biometrics 21, 134139.
Gani, J. (1967a) Models for antibody attachment to virus and bacteriophage. Proc. 5th Berkeley Symp. Math. Statist. Prob. 4, 537547.
Gani, J. (1967b) A problem of virus populations: attachment and detachment of antibodies. Math. Biosci. 1, 545554.
Gani, J. and Srivastava, R. C. (1968) A stochastic model for the attachment and detachment of antibodies to virus. Math. Biosci. 3, 307322.
Lewis, T. (1975) A model for the parasitic disease bilharziasis. Adv. Appl. Prob. 7, 673704.
Morgan, B. J. T. (1971) On the solution of differential equations arising in some attachment models of virology. J. Appl. Prob. 8, 215221.
Ohlsen, S. (1963) Further models for phage reproduction in a bacterium. Biometrics 19, 441449.
Puri, P. S. (1968) A note on Gani's models on phage attachment to bacteria. Math. Biosci. 2, 151157.
Puri, P. S. (1975) A linear birth and death process under the influence of another process. J. Appl. Prob. 12, 117.
Renshaw, E. (1973) Interconnected population processes. J. Appl. Prob. 10, 114.
Renshaw, E. (1974) Stepping stone models for population growth. J. Appl. Prob. 11, 1631.
Srivastava, R. C. (1967) Some aspects of the stochastic model for the attachment of phages to bacteria. J. Appl. Prob. 4, 918.

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