Analysis of the effects of growth-fragmentation-coagulation in phytoplankton dynamics

[摘要] ENGLISH ABSTRACT: An integro-differential equation describing the dynamical behaviour of phytoplanktoncells is considered in which the effects of cell division and aggregationare incorporated by coupling the coagulation-fragmentation equation withgrowth, and the McKendrick-von Foerster renewal model of an age-structuredpopulation. Under appropriate conditions on the model parameters, the associatedinitial-boundary value problem is shown to be well posed in a physicallyrelevant Banach space using the theory of strongly continuous semigroups ofoperators, the theory of perturbation of positive semigroups and the semilinearabstract Cauchy problems theory. In particular, we provide sufficientconditions for honesty of the model. Finally, the results on the effects of thegrowth-fragmentation-coagulation on the overall evolution of the phytoplanktonpopulation are summarised.

[发布机构] Stellenbosch University