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URN: urn:nbn:de:swb:90-406336

Quantified Stability Investigations for Reaction-Diffusion Systems

Omarova, Madina

Abstract:
The main focus of this thesis lies in the investigation of the properties of stationary solutions to reaction-diffusion systems. Using the computer-assisted approach the questions on the stability and existence of stationary solutions of pattern formation, spruce budworm, predator-prey and competition models are answered. Moreover, granted that the stationary solution is stable, a computer-assisted method for the quantification of its domain of attraction is proposed.


Zugehörige Institution(en) am KIT Institut für Analysis (IANA)
Publikationstyp Hochschulschrift
Jahr 2014
Sprache Englisch
Identifikator KITopen ID: 1000040633
Verlag Karlsruhe
Abschlussart Dissertation
Fakultät Fakultät für Mathematik (MATH)
Institut Institut für Analysis (IANA)
Prüfungsdaten 12.06.2013
Referent/Betreuer Prof. M. Plum
Schlagworte reaction-diffusion systems, stability, computer-assisted approach
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