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

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

Abstract 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 …