Coagulation, fragmentation and growth processes in a size structured population

Jacek Banasiak, Wilson Lamb

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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
Issue number3
Publication statusPublished - May 2009


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

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