Abstract
This paper discusses a general stochastic model for a two-compartment reversible system with non-homogeneous Poisson inputs, arbitrary residence times at each of the compartments and time-dependent transition probabilities. The probability distributions of the number of particles in each compartment and in the system are obtained together with the number of particles which depart from the system. In addition, various covariance functions with a time lag are obtained. Some of the above obtained results are deduced for time-independent arrivals, exponential residence times and time-independent transition probabilities. Fluctuations of the particles present in the system are also analysed. Similar analysis is provided for the model into which some particles are initially introduced at the system. Some possible applications are discussed at the end.
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Mehata, K.M., Selvam, D.D. A stochstic model for a two-compartment reversible system. Bltn Mathcal Biology 44, 557–570 (1982). https://doi.org/10.1007/BF02459409
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DOI: https://doi.org/10.1007/BF02459409