Bulletin of Mathematical Biology

, Volume 43, Issue 5, pp 549–561 | Cite as

A stochastic model for then-compartment irreversible system

  • K. M. Mehata
  • D. Deivamoney Selvam
Article
  • 39 Downloads

Abstract

This paper deals with a stochasticn-compartment irreversible system with a non-homogeneous Poisson input and arbitrary residence time for each of the compartments. Results relating to the number of particles present in each of the compartments as well as the total number of particles present in the system at any time are derived. Further, explicit expressions for the auto covariance function for each compartment and the cross-covariance function between any two compartments with a given time lag are obtained. As a particular case, then-compartment irreversible system is analyzed with homogeneous Poisson input and exponential residence time distribution for each of the compartments. The possible applications of the model are discussed.

Keywords

Probability Mass Function Residence Time Distribution Stochastic Theory Compartment System Reversible System 

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Copyright information

© Society for Mathematical Biology 1981

Authors and Affiliations

  • K. M. Mehata
    • 1
  • D. Deivamoney Selvam
    • 1
  1. 1.Faculty of Science, Madras Institute of TechnologyPerarignar Anna University of TechnologyMadrasIndia

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