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Compartmental models with Erlang distributed residence times and random rate coefficients

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Abstract

In this paper a stochastic model for a two-compartment system which incorporates Erlang residence time distributions (i.e. the residence times have the gamma distribution where the shape parameters assume integer values only) into each compartment is generalized to include random rate coefficients. Analytical forms of the model are derived for the case where the rate coefficients have gamma densities. A relationship is established between the new models and existing models that are in current practical usage.

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Authors and Affiliations

  1. Department of Mathematics/Computer Science, The University of Texas-Pan American, 78539, Edinburg, TX, U.S.A.

    B. O. Ebaseh-Onofa

  2. Department of Statistics, Texas A&M University, 77843, College Station, TX, U.S.A.

    J. H. Matis

Authors
  1. B. O. Ebaseh-Onofa
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  2. J. H. Matis
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Ebaseh-Onofa, B.O., Matis, J.H. Compartmental models with Erlang distributed residence times and random rate coefficients. Bltn Mathcal Biology 54, 929–938 (1992). https://doi.org/10.1007/BF02460659

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  • DOI: https://doi.org/10.1007/BF02460659

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