Quantified Stability Investigations for Reaction-Diffusion Systems
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 |
| Publikationsjahr | 2014 |
| Sprache | Englisch |
| Identifikator | urn:nbn:de:swb:90-406336 KITopen-ID: 1000040633 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Art der Arbeit | Dissertation |
| Fakultät | Fakultät für Mathematik (MATH) |
| Institut | Institut für Analysis (IANA) |
| Prüfungsdaten | 12.06.2013 |
| Schlagwörter | reaction-diffusion systems, stability, computer-assisted approach |
| Referent/Betreuer | Plum, M. |