On the formulation and computer implementation of an age-dependent two-sex demographic model

Mode, Charles J.; Salsburg, Michael A.

doi:10.1016/0025-5564(93)90053-d

“…A few investigators analyze or at least acknowledge the possible discrepancies between laws governing random epidemics and their deterministic counterparts and/or simulated approximations; these include Jacquez and Simon (1993), Kryscio and Lefevre (1989), Mode and collaborators (e.g. Mode (1991), Mode and Dietz (1993), and Mode and Salsburg (1993)), Tan and co-workers (e.g. Tan (1993), Tan and Byers (1993), Tan andHsu (1989), (1991), Tan andTang (1993), (1994)).…”

Section: Introductionmentioning

confidence: 99%

Error bounds for deterministic approximations to Markov processes, with applications to epidemic models

Gani

¹

,

Yakowitz

²

1995

Journal of Applied Probability

5

0

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The computer age and the phenomenological complexity of the AIDS/HIV epidemic have engendered a rich profusion of deterministic and stochastic time series models for the development of an epidemic. The present study examines the reliability of deterministic approximations of fundamentally random processes. Through numerical analysis and probabilistic considerations, we derive absolute and simultaneous confidence interval bounding techniques, and offer a practical procedure based on these developments. A heartening aspect of the computational study presented at the close of this paper indicates that when the population size is in the thousands, the deterministic version to the classical logistic epidemic is a good approximation.

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Modelling the interaction between the sexes

Pollard

¹

1997

Mathematical and Computer Modelling

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Error bounds for deterministic approximations to Markov processes, with applications to epidemic models

Gani¹,

Yakowitz²

1995

J. Appl. Probab.

1

0

View full text Add to dashboard Cite

The computer age and the phenomenological complexity of the AIDS/HIV epidemic have engendered a rich profusion of deterministic and stochastic time series models for the development of an epidemic. The present study examines the reliability of deterministic approximations of fundamentally random processes. Through numerical analysis and probabilistic considerations, we derive absolute and simultaneous confidence interval bounding techniques, and offer a practical procedure based on these developments. A heartening aspect of the computational study presented at the close of this paper indicates that when the population size is in the thousands, the deterministic version to the classical logistic epidemic is a good approximation.

show abstract

On the formulation and computer implementation of an age-dependent two-sex demographic model

Cited by 5 publications

References 18 publications

Error bounds for deterministic approximations to Markov processes, with applications to epidemic models

Error bounds for deterministic approximations to Markov processes, with applications to epidemic models

Modelling the interaction between the sexes

Error bounds for deterministic approximations to Markov processes, with applications to epidemic models

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