An extension of the Yamada-Watanabe condition for pathwise uniqueness to stochastic differential equations with jumps.
Hoepfner, Reinhard (2009)
Electronic Communications in Probability [electronic only]
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Hoepfner, Reinhard (2009)
Electronic Communications in Probability [electronic only]
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Bernardin, Frédéric, Bossy, Mireille, Martinez, Miguel, Talay, Denis (2009)
Electronic Communications in Probability [electronic only]
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Hamadéne, S., Ouknine, Y. (2003)
Electronic Journal of Probability [electronic only]
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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....
Nikos Zygouras (2009)
Annales de l'I.H.P. Analyse non linéaire
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Bahlali, K., Elouaflin, A., N'zi, M. (2004)
Journal of Applied Mathematics and Stochastic Analysis
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