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Article Contents

# Coagulation, fragmentation and growth processes in a size structured population

• An equation describing the dynamical behaviour of phytoplankton cells is considered in which the effects of cell division and aggregration are incorporated by coupling the coagulation-fragmentation equation with the McKendrick-von Foerster renewal model of an age-structured population. Under appropriate conditions on the model parameters, the associated initial-boundary value problem is shown to be well posed in a physically relevant Banach space.
Mathematics Subject Classification: Primary: 35F25, 47D06; Secondary: 45K05, 80A30.

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