Properties of two of the stochastic circulatory models theoretically introduced by Smith et al., 1997, Bull. Math. Biol. 59, 1-22 were investigated. The models as- Sumed the gamma distribution of the cycle time under either the geometric or Poisson Elimination scheme. The reason for selecting these models was the fact that the prob- Ability density functions of the residence time of these models are formally similar To those of the Bateman and gamma-like function models, i.e., the two common Deterministic models.
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