MAAPREP2010MathematicalModelinginPopulationBiologyand

EpidemiologyJune4­6,2010

TexasTechUniversity,Lubbock,TX79409

OrganizersandSpeakers:SophiaJang,LindaAllen,Lih‐IngRoeger,EdwardAllen,andRichardStrauss

Mathematicalmodels in population biology and epidemiology are becoming increasinglyimportant and useful in addressing current problems in population biology andepidemiology,suchasspeciesinvasions,emergingdiseases,ordrugresistance.InthisMAAPREPworkshop,wewillintroducesomemathematicalmodelsandtechniquesusefulinthestudy of these current problems. Somemathematical and computational techniques fordifference equations, differential equations, and stochasticmodelswill be introduced andappliedtobiologicalproblems.Forexample,wewilldiscusshowtoformulateastochasticepidemic model from the basic susceptible‐infective‐recovered (SIR) model for diseasespreadandderive an estimate for theprobabilityofdisease emergence. In addition, wewill formulate competition and predation models to investigate whether an introducedspecies is able to invade an established community. We will discuss how to formulatestochasticmodelsofcompetitionandpredationthat includevariability inthebirth,death,and immigration processes and explore the models’ dynamics through computersimulations.Participantswillhavehands‐onexperiencewithcomputer technology,MapleandMatLab.Somepreparatoryexerciseswillbeavailableforregisteredparticipants.

Formoreinformationaboutthisworkshoppleasevisitthewebsite:www.math.ttu.edu/current/MAAPREP/MathematicalModeling/Toregisterforthisworkshoppleasevisitthewebsite:www.maa.org/PREP