A nonlinear model of age and size-structured populations with applications to cell cycles

• Autores: S. Jonathan Chapman, M. J. Plank, A. James, B. Basse
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 49, Nº 2, 2007, págs. 151-169
• Idioma: inglés
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• Resumen

  • The Sharpe�Lotka�McKendrick (or von Foerster) equations for an age-structured population, with a nonlinear term to represent overcrowding or competition for resources, are considered. The model is extended to include a growth term, allowing the population to be structured by size or weight rather than age, and a general solution is presented. Various examples are then considered, including the case of cell growth where cells divide at a given size.