Density-Dependent Birth and Death Processes with Controlled Immigration
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 unconv...
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Main Authors: | , , |
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Format: | text |
Language: | English |
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Institutional Knowledge at Singapore Management University
1993
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Online Access: | https://ink.library.smu.edu.sg/lkcsb_research/896 https://doi.org/10.1080/07362999308809310 |
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Institution: | Singapore Management University |
Language: | English |
Summary: | 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. |
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