Analysis, numerics, and optimization of algae growth

K. Kumar, M. Pisarenco, M. Rudnaya, V. Savcenco

Research output: Book/ReportReportAcademic

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We extend the mathematical model for algae growth as described in [11] to include new effects. The roles of light, nutrients and acidity of the water body are taken into account. Important properties of the model such as existence and uniqueness of solution, as well as boundedness and positivity are investigated. We also discuss the numerical integration of the resulting system of ordinary differential equations and derive a condition which guarantees positivity of the numerical solution. An optimization problem is formulated which demonstrates an application of the model.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages20
Publication statusPublished - 2010

Publication series

ISSN (Print)0926-4507


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