Abstract
This paper discusses two compartment models with interaction allowed between the compartments. The total number of particles in the system at any time is discussed along with the number to the found in each separate compartment. An interesting result is that the number of particles in each of the two compartments areindependent random variables. Some asymptotic results are also given. The paper is a continuation of some earlier work by the author.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Literature
Purdue, P. 1974a. “Stochastic Theory of Compartments.”Bull. Math. Biol.,36, 305–309.
— 1974b. “Stochastic Theory of Compartments: One and Two Compartment Systems.”-—Ibid.,36, 577–587.
Ross, S. M., 1970.Applied Probability Models with Optimization Applications, p. 43. San Francisco: Holden-Day.
Takàcs, L. 1962.Introduction to the Theory of Queues, p. 160. New York: Oxford University Press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Purdue, P. Stochastic theory of compartments: An open, two compartment, reversible system with independent poisson arrivals. Bltn Mathcal Biology 37, 269–275 (1975). https://doi.org/10.1007/BF02461445
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02461445