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International Conference on Statistics, Combinatorics and Related Areas
October 3-5, 2003
University of Southern Maine
Portland, ME, USA

Organizers
Dr. Sat Gupta (University of Southern Maine), Dr. Satya Mishra (University of South Alabama), Dr. Bhu Dev Sharma (Clark Atlanta University)

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An Allee Birth Death Process
by
Flora Mulkey
California State Polytechnic University
Coauthors: Randall J. Swift

In this talk, the steady-state probabilities and moments of a birth-death-immigration-emigration process with the Allee effect are considered in terms of a generalized hypergeometric function. These steady-state probabilities generalize those obtained by J.N. Kapur, 1978, for the birth-death-immigration-emigration process and those of R. J. Swift, 2001, for the logistic birth-death-immigration-emigration process. The process is compared to the deterministic Allee model and further generalizations are presented.

Date received: August 25, 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 Conferences Inc. Document # cakp-68.