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Density–dependent birth and death processes with controlled immigration

 

作者: B. Krishna Kumar,   P.R. Parthasarathy,   M. Sharafali,  

 

期刊: Stochastic Analysis and Applications  （Taylor Available online 1993）
卷期: Volume 11, issue 2  

页码: 181-196

 

ISSN:0736-2994

 

年代: 1993

 

DOI:10.1080/07362999308809310

 

出版商: Marcel Dekker, Inc.

 

关键词: Birth and Death Processes;Immigration;Almost Lower Triangular Matrix

 

数据来源: Taylor

 

摘要:

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 integerkis 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.

 

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