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An eigenvalue approach to the simple immigration-catastrophe model.
by
Michael L. Green
California State Polytechnic University, Pomona
Coauthors: David M. Monarres, Randall J. Swift
In this talk the transient probability functions for a simple immigration catastrophe process are obtained. This process was first considered by R.J. Swift, A Simple Immigration-Catastrophe Process, The Mathematical Scientist, Vol. 25 (1), 32-36, 2000. In this talk, the transient solutions are obtained via eigenvalues from the Jordan decomposition of the rate matrix Q. This method holds promise for further generalizations to other birth-death processes.
Date received: September 9, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # came-48.