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Conference Papers Year : 2012

Limiting Feller diffusions for logistic populations with age-structure

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Abstract

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.
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Dates and versions

hal-00595928 , version 1 (26-05-2011)
hal-00595928 , version 2 (18-08-2011)

Identifiers

  • HAL Id : hal-00595928 , version 2

Cite

Sylvie Méléard, J.A.J. Metz, Viet Chi Tran. Limiting Feller diffusions for logistic populations with age-structure. ISI2011, Aug 2011, Dublin, Ireland. pp.IPS013.01. ⟨hal-00595928v2⟩
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