Coagulation, fragmentation and growth processes in a size structured population

Jacek Banasiak; Wilson Lamb

doi:10.3934/dcdsb.2009.11.563

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2009, Volume 11, Issue 3: 563-585. Doi: 10.3934/dcdsb.2009.11.563

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Coagulation, fragmentation and growth processes in a size structured population

Jacek Banasiak^1, and
Wilson Lamb^2,

1.
School of Mathematical Sciences, University of KwaZulu-Natal, Durban
2.
Department of Mathematics, Strathclyde University, Glasgow, Scotland

Received: January 2008

Revised: July 2008

Published: May 2009

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: Primary: 35F25, 47D06; Secondary: 45K05, 80A30.

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