May  2009, 11(3): 563-585. doi: 10.3934/dcdsb.2009.11.563

Coagulation, fragmentation and growth processes in a size structured population

1. 

School of Mathematical Sciences, University of KwaZulu-Natal, Durban, South Africa

2. 

Department of Mathematics, Strathclyde University, Glasgow, Scotland, United Kingdom

Received  January 2008 Revised  July 2008 Published  March 2009

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.
Citation: Jacek Banasiak, Wilson Lamb. Coagulation, fragmentation and growth processes in a size structured population. Discrete and Continuous Dynamical Systems - B, 2009, 11 (3) : 563-585. doi: 10.3934/dcdsb.2009.11.563
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