Coagulation, fragmentation and growth processes in a size structured population

Jacek Banasiak, Wilson Lamb

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Abstract

An equation describing the dynamical behaviour of hytoplankton cells is considered in which the effects of cell division and aggregration are incorporated by coupling the coagulationfragmentation 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.
Original languageEnglish
Pages (from-to)563-585
Number of pages23
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume11
Issue number3
DOIs
Publication statusPublished - May 2009

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Keywords

  • semigroups of operators
  • semilinear Cauchy problem
  • coagulation
  • fragmentation
  • algal population
  • size structured population models
  • statistics
  • mathematics

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