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.
|Number of pages||23|
|Journal||Discrete and Continuous Dynamical Systems - Series B|
|Publication status||Published - May 2009|
- semigroups of operators
- semilinear Cauchy problem
- algal population
- size structured population models