
6009SFakeNews
19 Apr 2020   Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson
In modern society, creating and disseminating information is easier than ever. While this allows access to information on unprecedented scales, the validity of the information can be difficult to determine. Clickbait, propaganda, misleading headlines, biased news outlets, and social media posts...

2012Greer, Meredith L. and Karen A. Palin  Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1.
02 Apr 2020   Contributor(s):: Brian Winkel
Greer, Meredith L. and Karen A. Palin. 2012. Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1. Journal of Microbiology and Biology Education. December: 183185.See https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3577334/ .INTRODUCTIONWe...

2001Smith, David and Lang Moore  The SIR Model for Spread of Disease
02 Apr 2020   Contributor(s):: Brian Winkel
Smith, David and Lang Moore. 2001. The SIR Model for Spread of Disease. See https://www.maa.org/press/periodicals/loci/joma/thesirmodelforspreadofdiseaseintroduction .A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab...

2019Koss, Lorelei  SIR Models: Differential Equations that Support the Common Good.
02 Apr 2020   Contributor(s):: Brian Winkel
Koss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good. CODEE Journal. 12 (2019): Article 6.See https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This article surveys how SIR models have been extended beyond...

2007Choisy, M., J.F. Guégan, and P. Rohani Mathematical Modeling of Infectious Diseases Dynamics.
01 Apr 2020   Contributor(s):: Brian Winkel
Choisy, M., J.F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases...

2011Mandal, Sandip , Ram Rup Sarkar and Somdatta Sinha  Mathematical models of malaria  a review.
28 Mar 2020   Contributor(s):: Brian Winkel
Mandal, Sandip , Ram Rup Sarkar and Somdatta Sinha. 2011. Mathematical models of malaria  a review. Malaria Journal. 10:119.See https://pubmed.ncbi.nlm.nih.gov/21777413/ .Abstract: Mathematical models have been used to provide an explicit framework for understanding malaria...

2015Audestad, Jan A.  Some Dynamic Market Models.
26 Mar 2020   Contributor(s):: Brian Winkel
Audestad, Jan A. 2015. Some Dynamic Market Models. Norwegian University of Science and Technology, Gjøvik University College. Small Text. 49 pp.See https://arxiv.org/ftp/arxiv/papers/1511/1511.07203.pdf .ABSTRACT: In this text, we study the behavior of...

2018Akman, Devin, Olcay Akman, and Elsa Schaefer  Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization.
24 Mar 2020   Contributor(s):: Brian Winkel
Akman, Devin, Olcay Akman, and Elsa Schaefer. 2018. Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization. Journal of Applied Mathematics. Volume 2018. pp 110.See https://econpapers.repec.org/article/hinjnljam/9160793.htm...

2016Rodrigues, Helena Sofia  Application of SIR epidemiological model: new trends
20 Mar 2020   Contributor(s):: Brian Winkel
Rodrigues, Helena Sofia. 2016. Application of SIR epidemiological model: new trends. International Journal of Applied Mathematics and Informatics. 10: 9297. 2016 See https://arxiv.org/abs/1611.02565 .Abstract: The simplest epidemiologic model composed by mutually...

2011Chitnis, Nakul  Introduction to Mathematical Epidemiology: Deterministic Compartmental Model
16 Mar 2020   Contributor(s):: Brian Winkel
Chitnis, Nakul. 2011. Introduction to Mathematical Epidemiology: Deterministic Compartmental Model. Notes. 12 pp.See http://www.luchsingermathematics.ch/MEDeterministicCompartmentalModels.pdf .Introduction: Deterministic compartmental models form the simplest models in the...

1111SSpreadOfInformation
02 Sep 2019   Contributor(s):: Jeff Pettit
Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model which can be compared to predicted data, measured data, and modeled data. Part 3 can require students to move from...

6010SSocialCampaigns
23 Sep 2018   Contributor(s):: Hyunsun Lee
Mathematical epidemic models are crucial tools to understand, analyze, predict, and control infectious diseases. The SusceptibleInfectedRecovered (SIR) model is a basic compartment model, describing how an infectious disease propagates through a population. The problem is formulated as a system...

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.

6007SFunctionsAndDerivativesInSIRModels
12 Aug 2018   Contributor(s):: Meredith L. Greer

6018SExploringSIRModel
30 May 2018   Contributor(s):: Ryan Edmund Miller, Stanley F Florkowski
Students will transform, solve, and interpret Susceptible Infected Recovered (SIR) models using systems of differential equation models. The project is progressively divided into three parts to understand, to apply, and to develop SIR models. Part one focuses on understanding and interpreting SIR...

2018Alvey, Christina  Zombie Apocalypse in a Mathematical Biology Course
19 Jan 2018   Contributor(s):: Christina Alvey
Zombie Apocalypse in a Mathematical Biology CourseBy 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...

2015Just, Winfried and Hannah Callender  Differential equation models of disease transmission. Paper.
10 Sep 2017   Contributor(s):: Brian Winkel
Just, Winfried and Hannah Callender. 2015. Differential equation models of disease transmission. Paper. 16 pp.See https://people.ohio.edu/just/IONTW/ModuleDE.pdf .The work give full analyses of standard epidemic model and then shows how to do it with differential...

2017Unknown  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,...

2012Chapwanyaa , Michael, Jean MS Lubumaa and Ronald E Mickensb  From Enzyme Kinetics to Epidemiological Models with MichaelisMenten Contact Rate: Design of Nonstandard Finite Difference Schemes.
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...

2015CollazoRiver CruzAponteAvian Influenza Model Puerto Rico
08 Sep 2017   Contributor(s):: Brian Winkel
CollazoRivera, M and M. CruzAponte. 2015. Avian Influenza Type AH5N1 Epidemiological Model: Puerto Rico as a Case Study. SM Vaccines and Vaccination Journal. 1(1)...