Population-size-dependent branching processes.
Jagers, Peter (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Jagers, Peter (1996)
Journal of Applied Mathematics and Stochastic Analysis
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Birkner, Matthias, Blath, Jochen, Capaldo, Marcella, Etheridge, Alison M., Möhle, Martin, Schweinsberg, Jason, Wakolbinger, Anton (2005)
Electronic Journal of Probability [electronic only]
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Peter Jagers, Olle Nerman (1996)
Séminaire de probabilités de Strasbourg
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Viet Chi Tran (2008)
ESAIM: Probability and Statistics
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We study a continuous-time discrete population structured by a vector of ages. Individuals reproduce asexually, age and die. The death rate takes interactions into account. Adapting the approach of Fournier and Méléard, we show that in a large population limit, the microscopic process converges to the measure-valued solution of an equation that generalizes the McKendrick-Von Foerster and Gurtin-McCamy PDEs in demography. The large deviations associated with this convergence are studied....
Yong, Jiongmin (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Hutzenthaler, Martin (2009)
Electronic Journal of Probability [electronic only]
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Swift, Randall J. (2001)
International Journal of Mathematics and Mathematical Sciences
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