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.identifier.uri	http//localhost:8080/jspui/handle/123456789/2429
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.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