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 language | English |
|---|---|
| Pages (from-to) | 563-585 |
| Number of pages | 23 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 11 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - May 2009 |
Keywords
- semigroups of operators
- semilinear Cauchy problem
- coagulation
- fragmentation
- algal population
- size structured population models
- statistics
- mathematics