APPLICATIONSOFOPTIMALCONTROLTHEORYTOBIOLOGICALMODELSOp#malcontroltheoryhasbeensuccessfullyusedinmanydecision‐makingareassuchaseconomics,biology,physicsandengineering.Inthistalk,wefocusonop#malcontrolproblemsinthecontextofepidemiologicalorbiologicalapplica#ons.Theseproblemsinvolveordinarydifferen#alequa#ons,discretesystem,andpar#aldifferen#alequa#ons.Foreachcase,weiden#fyandcharacterizeop#malcontrolsandalsoevaluatetheimpactofthemonthedynamics.First,fewmathema#calmodelsofinfluenzadynamicsareconsideredtoiden#fyop#maltreatmentandisola#oninterven#onsorop#malage‐specificvaccina#onstrategies.Thisstudyhighlightsinsightsontheroleofeffec#vepublichealthpoliciestomi#gatethespreadofinfluenza.Secondly,weconsiderareac#on‐diffusionequa#onforaspa#allydistributedpopula#onmodelunderdifferentgrowthfunc#ons.Then,op#malharveststrategiesarediscussedforthisreac#ondiffusionmodel.

SPEAKER:SunmiLeeArizonaStateUniversity

DATE:Friday,November11REFRESHMENTS:2:30–2:50pmPLACE:BH143 TALKTIME:3:00–4:00pm

DepartmentofMathemaQcalSciencesColloquiumTalk

CONTACT:EMILSCHWAB/LETICIAVELAZQUEZ(ESCHWAB@UTEP.EDU/LETI@UTEP.EDU)ThetalkissponsoredbytheBioinforma#csProgram,DepartmentofMathema#calSciences,Computa#onalScienceProgram..

Dr.SunmiLeeearnedaPhDinMathema#csin2005fromtheUniversityofCaliforniaatLosAngeles,aBSandMSinMathema#csfromKyungHeeUniversityinKorea..SheiscurrentlyaResearchAssistantProfessorattheMathema#calandComputa#onalModelingSciencesCenteratArizonaStateUniversity,Herresearchinterestsare:•Numericalmethodsandpar#aldifferen#alequa#onsininfinitedomainproblems.•Computa#onalfluiddynamics:Immersedboundarymethod/Immersedinterfacemethod.•Epidemiologicalmodelsusingop#malcontroltheory.•Mathema#calmodelingappliedtobiological/physiologicalsystems.