MAA PREP 2010 Mathematical Modeling in Population Biology and Epidemiology June 4-6, 2010 Texas Tech University, Lubbock, TX 79409 Organizers and Speakers: Sophia Jang, Linda Allen, Lih‐Ing Roeger, Edward Allen, and Richard Strauss Mathematical models in population biology and epidemiology are becoming increasingly important and useful in addressing current problems in population biology and epidemiology, such as species invasions, emerging diseases, or drug resistance. In this MAA PREP workshop, we will introduce some mathematical models and techniques useful in the study of these current problems. Some mathematical and computational techniques for difference equations, differential equations, and stochastic models will be introduced and applied to biological problems. For example, we will discuss how to formulate a stochastic epidemic model from the basic susceptible‐infective‐recovered (SIR) model for disease spread and derive an estimate for the probability of disease emergence. In addition, we will formulate competition and predation models to investigate whether an introduced species is able to invade an established community. We will discuss how to formulate stochastic models of competition and predation that include variability in the birth, death, and immigration processes and explore the models’ dynamics through computer simulations. Participants will have hands‐on experience with computer technology, Maple and MatLab. Some preparatory exercises will be available for registered participants. For more information about this workshop please visit the website: www.math.ttu.edu/current/MAAPREP/MathematicalModeling/ To register for this workshop please visit the website: www.maa.org/PREP

MAA PREP 2010 Mathematical Modeling in Population Biology ...€¦ · Mathematical models in population biology and epidemiology are becoming increasingly important and useful in

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Page 1: MAA PREP 2010 Mathematical Modeling in Population Biology ...€¦ · Mathematical models in population biology and epidemiology are becoming increasingly important and useful in

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