Stochastic modelling of age-structured population with time and size dependence of immigration rate
2018 ◽
Vol 33
(5)
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pp. 289-299
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Keyword(s):
Abstract A stochastic age-structured population model with immigration of individuals is considered. We assume that the lifespan of each individual is a random variable with a distribution function which may differ fromthe exponential one. The immigration rate of individuals depends on the time and total population size. Upper estimates for the mean and variance of the population size are established based on the theory of branching processes with constant immigration rate. A Monte Carlo simulation algorithm of population dynamics is developed. The results of numerical experiments with the model are presented.
2013 ◽
Vol 401
(1)
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pp. 85-97
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2014 ◽
Vol 74
(4)
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pp. 959-979
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2009 ◽
Vol 25
(2)
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pp. 470-493
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2009 ◽
Vol 61
(4)
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pp. 475-499
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2013 ◽
Vol 64
(6)
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pp. 1643-1659
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1997 ◽
Vol 104
(1)
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pp. 71-85
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