
Exploring differential equation of HIV infection
21 Jun 2019   Contributor(s):: Rebecca L. Goulson
Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.

6019SEnablingEpidemicExploration
17 Sep 2018   Contributor(s):: Brian Winkel
We offer several strategies for estimating parameters in models of epidemics, one using a MichaelisMenten saturation infected rate.

6003SSchoolFluEpidemic
28 Aug 2018   Contributor(s):: Darrell Weldon Pepper
We offer a model of the spread of flu in a school dormitory and are asked to find when the flu levels reach their peak and explain long term behavior of the spread of the flu.

Modeling the Opioid Epidemic in the United States
19 Jan 2018   Contributor(s):: Brian Winkel, Bill Skerbitz
Bill Skerbitz, Wayzata High School, Plymouth MN USA, passed this along as an idea for a Modeling Scenario."When I met with Bev West, Emerita Ithaca College, Ithaca NY USA, she mentioned that they plan on putting out a special issue of the CODEE journal that is focused on matters of...

Christina Alvey – Zombie Apocalypse in a Mathematical Biology Course
19 Jan 2018   Contributor(s):: Christina Alvey
Zombie Apocalypse in a Mathematical Biology Course By Christina Alvey, Mount Saint Mary College. A talk given at the AMS Special Session on Modeling in Differential Equations  High School, TwoYear College, FourYear Institution at Joint Mathematics Meetings, San Diego CA, 913 January...

2016ManheimEtAl Improving Decision Support for Infectious Disease Prevention and Control
23 Sep 2017   Contributor(s):: Brian Winkel
David Manheim, David, Margaret Chamberlin, Osonde A. Osoba, Raffaele Vardavas, Melinda Moore. 2017. Improving Decision Support for Infectious Disease Prevention and Control: Aligning Models and Other Tools with Policymakers’ Needs. Rand Corporation. 51...

2017BullardDice Activities That Motivate Differential Equation Models
21 Sep 2017   Contributor(s):: Brian Winkel
Bullard, Floyd. 2017. Dice Activities That Motivate Differential Equation Models Teaching Contemporary Mathematics. The North Carolina School of Science and Mathematics . 7 pp. https://www.ncssm.edu/uploads/files/330468432813721056dediceactivities.pdf .This document includes...

2006LoydWodarz Drug Resistance in Acute Viral Infections
18 Sep 2017   Contributor(s):: Brian Winkel
Loyd, Alun L. and Dominik Wodarz. 2006. Drug Resistance in Acute Viral Infections: Rhinovirus as a Case Study. Preprint. 21 pp. http://www4.ncsu.edu/~allloyd/pdf_files/resistance_preprint.pdf . Accessed 18 September 2017.Abstract: The emergence and spread of drug...

2014DoEtAlDifferential Equation Model for the Dynamics of Youth Gambling
12 Sep 2017   Contributor(s):: Brian Winkel
Do, Tae Sug and Young S. Lee. 2014. A Differential Equation Model for the Dynamics of Youth Gambling. Osong Public Health Res Perspect. 2014 Aug; 5(4): 233–241.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4215004/ . Accessed 11 September 2017.Objectives: We examine the dynamics...

2012MisraMathematics Model for the Spread of Two Political Parties
11 Sep 2017   Contributor(s):: Brian Winkel
Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3): 343–354.Abstract. In this paper, a nonlinear mathematical model for the spread of two political parties has been proposed and...

SmithSimple Epidemic Models
10 Sep 2017   Contributor(s):: Brian Winkel
Smith, Robert. Simple Epidemic Models. PowerPoint. 26 Slides.http://mysite.science.uottawa.ca/rsmith43/MAT4996/Epidemic.pdf . Accessed 10 September 2017.First slide, Construct ODE (Ordinary Differential Equation) models Relationship between...

2015CalenderJustDifferential Equation Models of Disease Transmission
10 Sep 2017   Contributor(s):: Brian Winkel
Just, Winfried and Hannah Callender. 2015. Differential equation models of disease transmission. Paper 16 pp.The work give full analyses of standard epidemic model and then shows how to do it with differential equations and agentbased modeling. Then it compares the results.Keywords:...

Epidemic ModelsPresentation
10 Sep 2017   Contributor(s):: Brian Winkel
Epidemic ModelsPresentation PowerPoint. 16 slide.Overview of many epidemics and their models as well as graphical data and comparison of model and data plots.Keywords: differential equation, model, epidemic, SIR, boarding school, data, parameter estimation, Bombay plague, Eyam plague,...

2005LieIntro to Math Modelling ODEs and Heat Equation
10 Sep 2017   Contributor(s):: Brian Winkel
2005 Lie, Knut–Andreas. Introduction to Mathematical Modelling: Ordinary Differential Equations and Heat Equations SINTEF ICT, Dept. Applied Mathematics PowerPoint slide. 45 slides. www.uio.no/studier/emner/matnat/ifi/INF2340/v05/foiler/sim02.pdf . Accessed 9...

2012ChapwanyaEtAlEnzyme Kinetics MichaelisMenton Contact Rate Epidemic
08 Sep 2017   Contributor(s):: Brian Winkel
Chapwanyaa , Michael, Jean MS Lubumaa and Ronald E Mickensb. 2011. From Enzyme Kinetics to Epidemiological Models with MichaelisMenten Contact Rate: Design of Nonstandard Finite Difference Schemes. Preprint, submitted to Computers and Mathematics with Applications. 15 pp.Abstract:...

2014IMPULSLessonPlanEpidemicModeling
08 Sep 2017   Contributor(s):: Brian Winkel
IMPULS International Mathteacher Professionalization Using Lesson Study. 2014. Grade 12 Mathematics Lesson Plan: Epidemics. Part of http://www.impulstgu.org/en/ . Accessed 7 September 2017.Introduces a lesson for high school students using a difference equation approach to...

2011CruzAponteEtAlVaccination In Influenza Epidemic
07 Sep 2017   Contributor(s):: Brian Winkel
“CruzAponte, Maytee, Erin C McKiernan1, Marco A HerreraValdez. 2011. Mitigating effects of vaccination on influenza outbreaks given constraints in stockpile size and daily administration capacity. BMC Infectious Diseases. 11:207. 16 pp....

2009MunzEtAlWhenZombiesAttack
07 Sep 2017   Contributor(s):: Brian Winkel
Munz, Philip , Ioan Hudea, Joe Imad, Robert J. Smith. 2009. When Zombies Attack!: Mathematical modelling of an Outbreak of Zombie Infection. Pp: 133150. In Infectious Disease Modelling Research Progress. Ed: J. M. Tshuenche and C. Chiyaka. Hauppauge NY: Nova Science...

2009HowardModelingWithODE
02 Sep 2017   Contributor(s):: Brian Winkel
2009. Howard, Peter. Modeling With ODE. Class Notes. Texas A&M University. 26 pp. http://www.math.tamu.edu/~phoward/m442/modode.pdf Keywords: differential equation, model, reaction, chemistry, carbon dating, rates, mechanics, competition, epidemic, population, pendulum, planetary motion,...

Differential equations and the AIDS epidemic: a lecture for Calculus II Students
01 Mar 2017   Contributor(s):: Brian Winkel
Kenney, Emelie A. 1992. Differential equations and the AIDS epidemic: a lecture for Calculus II Students. PRIMUS. 2(4): 386392.Article Abstract: This paper describes a lecture for Calculus II students in which the Acquired Immune Deficiency Syndrome was used to motivate study of firstorder...