Dynamics of a Turing -type reaction - diffusion model
| dc.contributor.author | Abbad, Abir | |
| dc.date.accessioned | 2022-03-29T09:27:41Z | |
| dc.date.available | 2022-03-29T09:27:41Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | The aimofthisthesisistostudythedynamicsofaTuring-typereaction-di usion model,i.e.studyareaction-di usionmodelthatexhibitsTuringproperties,whereas the reaction-di usionde nesthemechanisminwhichseveralinteractingchemicalsor agentsreacttogetherwhiledi usingorspreadingacrossaliquidorgaseousmedium simultaneously,usually,theseprocessesarestudiedfortheirabilitytoproducenontrivial patterns thatevolveovertime.Suchpatternsaredrivenbydi usion,alsoreferredtoas TuringstructuresorTuringpatterns.TheTuringpatternsaremeasuredinthepresenceof di usion, butarenotpresentintheabsenceofdi usion,thismechanismecalled"di usion- driveninstability"or"Turinginstability".Inthiswork,thestudywasrelated"thewell- knownDegn-Harrisonreactiondi usionmodelanditsgeneralization".Ourthechniqueto provetheasymptoticstabilityofthesteadystatesolutionisbasedontheeigen-analysis, the Poincar e{BendixsontheoremandthedirectLyapunovmethod. | en_US |
| dc.identifier.uri | http//localhost:8080/jspui/handle/123456789/2429 | |
| dc.language.iso | en | en_US |
| dc.subject | Reaction-Di usion Systems ,TuringInstability , GlobalExistence , LyapunovFunc- tional , StabilityAnalysis | en_US |
| dc.title | Dynamics of a Turing -type reaction - diffusion model | en_US |
| dc.type | Thesis | en_US |