Banasiak, Jacek and Lamb, Wilson (2009) *Coagulation, fragmentation and growth processes in a size structured population.* Discrete and Continuous Dynamical Systems - Series B, 11 (3). pp. 563-585. ISSN 1531-3492

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Official URL: http://dx.doi.org/10.3934/dcdsb.2009.11.563

## 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.

Item type: | Article |
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ID code: | 13318 |

Keywords: | semigroups of operators, semilinear Cauchy problem, coagulation, fragmentation, algal population, size structured population models, statistics, mathematics, Probabilities. Mathematical statistics, Mathematics, Discrete Mathematics and Combinatorics, Applied Mathematics |

Subjects: | Science > Mathematics > Probabilities. Mathematical statistics Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Related URLs: | |

Depositing user: | Mrs Carolynne Westwood |

Date Deposited: | 12 Nov 2009 10:30 |

Last modified: | 05 Sep 2014 13:47 |

URI: | http://strathprints.strath.ac.uk/id/eprint/13318 |

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