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Anomalous Growth of Aging Populations.
- Source :
-
Journal of Statistical Physics . Apr2016, Vol. 163 Issue 2, p440-455. 16p. - Publication Year :
- 2016
-
Abstract
- We consider a discrete-time population dynamics with age-dependent structure. At every time step, one of the alive individuals from the population is chosen randomly and removed with probability $$q_k$$ depending on its age, whereas a new individual of age 1 is born with probability r. The model can also describe a single queue in which the service order is random while the service efficiency depends on a customer's 'age' in the queue. We propose a mean field approximation to investigate the long-time asymptotic behavior of the mean population size. The age dependence is shown to lead to anomalous power-law growth of the population at the critical regime. The scaling exponent is determined by the asymptotic behavior of the probabilities $$q_k$$ at large k. The mean field approximation is validated by Monte Carlo simulations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *POPULATION aging
*POPULATION dynamics
*MARKOV processes
*AGING
*MONTE Carlo method
Subjects
Details
- Language :
- English
- ISSN :
- 00224715
- Volume :
- 163
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Statistical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 113970490
- Full Text :
- https://doi.org/10.1007/s10955-016-1488-x