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Generalized two-dimensional bounded birth and death processes and some applications

Published online by Cambridge University Press:  14 July 2016

L. Billard
L. Billard*
Affiliation:
University of Georgia
*
∗Postal address: Department of Statistics and Computer Science, University of Georgia, Athens, Georgia 30602, U.S.A.
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Abstract

Two-dimensional bounded birth and death processes are considered. State probabilities are given for the generalized case in which the transition rates are arbitrary time-independent functions of the population sizes. Some applications in epidemic theory and species interaction processes are briefly described.

Keywords

BIRTH AND DEATH PROCESSESSTATE PROBABILITIESEPIDEMICSSPECIES INTERACTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 18 , Issue 2 , June 1981 , pp. 335 - 347
Copyright
Copyright © Applied Probability Trust 

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Footnotes

Research supported by NSF Grant No. MCS76–10453 and NIH Grant No. 1 R01 GM 26851–01.

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