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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 25 (2001), Issue 10, Pages 689-692
doi:10.1155/S0161171201005762

Transient probabilities for a simple birth-death-immigration process under the influence of total catastrophes

Randall J. Swift

Department of Mathematics, Western Kentucky University, Bowling Green 42101, KY, USA

Abstract

The transient probabilities for a simple birth-death-immigration process are considered. Catastrophes occur at a constant rate, and when they occur, reduce the population to size zero.