Density-dependent birth and death processes with controlled immigration

Authors: B. Krishna Kumar ^a; P. R. Parthasarathy ^b; M. Sharafali ^b

Affiliations:	^a Department of Mathematics, Indian Institute of Technology, Madras, India
	^b Department of Management Studies, University of Madras, Mardas, India

DOI: 10.1080/07362999308809310

Publication Frequency: 6 issues per year

Published in: journal

Stochastic Analysis and Applications, Volume 11, Issue 2 1993 , pages 181 - 196

Subjects: Statistics & Probability; Stochastic Models & Processes;

Formats available: PDF (English)

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Abstract

A density-dependent birth and death process in which immigration is permitted only when the number of particles in the system is less than a positive integer kis considered. An explicit expression for the probability generating function of the population size is obtained by using a direct and unconventional approach. Special cases are discussed.

Keywords: Birth and Death Processes; Immigration; Almost Lower Triangular Matrix

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Density-dependent birth and death processes with controlled immigration

Abstract