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. 563585. ISSN 15313492

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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 McKendrickvon Foerster renewal model of an agestructured 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 

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 
Depositing user:  Mrs Carolynne Westwood 
Date Deposited:  12 Nov 2009 10:30 
Last modified:  11 Dec 2015 21:15 
URI:  http://strathprints.strath.ac.uk/id/eprint/13318 
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