Density–dependent birth and death processes with controlled immigration
- 1 January 1993
- journal article
- research article
- Published by Taylor & Francis in Stochastic Analysis and Applications
- Vol. 11 (2) , 181-196
- https://doi.org/10.1080/07362999308809310
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
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