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Stochastic compartmental model with branching particles

โœ Scribed by P.R. Parthasarathy; P. Mayilswami


Publisher
Springer
Year
1981
Tongue
English
Weight
583 KB
Volume
43
Category
Article
ISSN
1522-9602

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โœฆ Synopsis


A multi-compartmental model with particles producing offspring according to the Markov branching process has been studied. Explicit results are given for the two-compartmental system and for irreversible general multicompartmental systems. The known models in stochastic compartmental analysis are shown to be particular cases of this model and applications are cited.


๐Ÿ“œ SIMILAR VOLUMES


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โœ Asha Seth Kapadia; Bayliss C. McInnis ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer ๐ŸŒ English โš– 224 KB

This paper deals with stochastic m-compartmental systems with continuous timedependent infusions into all compartments and reversible time-independent flows between any two compartments. A methodology for the first two moments of the distribution of the number of units in the different compartments

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This note presents a general time-dependent study of linear stochastic compartmental models in discrete time. The transient distribution of the state of the system is obtained by adapting methods used in the continuous time analysis. Covariance functions with and without a time lag are then deduced