Limiting Feller diffusions for logistic ...
Document type :
Communication dans un congrès avec actes
Title :
Limiting Feller diffusions for logistic populations with age-structure
Author(s) :
Méléard, Sylvie [Auteur]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Metz, J.A.J. [Auteur]
Mathematical institute
Tran, Chi [Auteur]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Metz, J.A.J. [Auteur]
Mathematical institute
Tran, Chi [Auteur]
Centre de Mathématiques Appliquées de l'Ecole polytechnique [CMAP]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Conference title :
ISI2011
City :
Dublin
Country :
Irlande
Start date of the conference :
2011-08-21
Book title :
Proceedings of the 58th World Statistics Congress
Publication date :
2012-01
English keyword(s) :
Stochastic individual based models
Age-structure
Logistic competition
Feller diffusion
Slow and fast scales
Age-structure
Logistic competition
Feller diffusion
Slow and fast scales
HAL domain(s) :
Mathématiques [math]/Probabilités [math.PR]
English abstract : [en]
Population dynamics with age structure are very important in demography and ecology since the demographic parameters of most species change over their life (think of maturation and senescence) and many phenomena (\eg ...
Show more >Population dynamics with age structure are very important in demography and ecology since the demographic parameters of most species change over their life (think of maturation and senescence) and many phenomena (\eg evolving life histories or kinship based social interactions such as cooperative breeding) require the introduction of age for their proper description. We consider here a long time scale diffusion limit for the dynamics of a large purely age structured population with closely matched birth an death rates. To this end we work out the technical details necessary to apply the general results in Méléard and Tran to this particular case. This way we derive, starting from a logistic age-structured birth and death process, a Feller diffusion with drift and diffusion coefficients that are averages over the age distribution.Show less >
Show more >Population dynamics with age structure are very important in demography and ecology since the demographic parameters of most species change over their life (think of maturation and senescence) and many phenomena (\eg evolving life histories or kinship based social interactions such as cooperative breeding) require the introduction of age for their proper description. We consider here a long time scale diffusion limit for the dynamics of a large purely age structured population with closely matched birth an death rates. To this end we work out the technical details necessary to apply the general results in Méléard and Tran to this particular case. This way we derive, starting from a logistic age-structured birth and death process, a Feller diffusion with drift and diffusion coefficients that are averages over the age distribution.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Comment :
http://www.isi2011.ie/content/access-congress-proceedings.html
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