A parity-dependent immigration-birth-death-emigration process.
Mathematical Biosciences (1992)
- PubMed: 1600285
Available from www.ncbi.nlm.nih.gov
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Abstract
An immigration-birth-death-emigration process is studied when the immigration, birth, death, and emigration parameters depend on two parity classes of individuals, namely, zero and nonzero parity. The expected number of individuals in the population at time t and that of emigrants in (0,t) of both parity classes are obtained using the probability generating function (pgf) technique. The explicit expression for the pgf of the process is derived when the parameters are parity-independent. Population extinction and some limiting results are also discussed.
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