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1. 01 Aug 2020

The Ebola virus disease is a serious infectious disease with the highest mortality rate that is considered as one of the most contagious diseases. Our goal is to construct a mathematical model to devise the optimal Ebola outbreak simulation, and through a numerical simulation predict the behavior...

2. 22 Jul 2020 | Modeling Scenarios

We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

3. 10 Jul 2020 | Modeling Scenarios

We present two exercises from a differential equations text in which we ask students to model (1) falling object experiencing terminal velocity and (2) bobbing block of wood in liquid. We model the motion using Newton's Second Law of Motion and Archimedes' Principle.

4. 01 Jun 2020 | Presentations

Spring 2020: Capstone Project Juan Ndong Nguema University of St. Thomas Houston, TX 77006 Advisor: Dr. Arati Nanda Pati The Ebola virus disease is a serious infectious disease with the highest mortality rate that is considered as one of the most contagious diseases. Our goal is to...

5. 30 May 2020 | Modeling Scenarios

We build models of world population using data to estimate growth rate.CZECH LANGUAGE VERSION  We have placed in Supporting Docs a Czech version of this Student Modeling Scenario. Name will be x-y-S-Title-StudentVersion-Czech.

6. 29 May 2020 | Modeling Scenarios

We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.

7. 13 May 2020 | Modeling Scenarios

The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. The virus is spreading rapidly. Infectious disease modeling is an essential part of the effort to minimize the spread and help predict the likely course of an epidemic. How can we use...

8. 21 Apr 2020 | Modeling Scenarios

We ask students to use the system of first order linear differential equations given in a source paper and estimates of the data from laboratory procedures from a plot to estimate the parameters and complete the modeling process. Then we seek to compare the results of the final model with...

9. 16 Apr 2020 | Presentations

Transient and Steady State response in RC or RL circuits . PowerPoint Slides. 54 Slides, This is a presentation to help understand the concepts of Transient and Steady State response in RC or RL circuits . There is detailed technical material and graphs to richly illustrate the clear...

10. 06 Apr 2020 | Potential Scenario Ideas

2001-Abramson-Epidemics-Lectures-PANDAAbramson, Guillermo. 2001.  Mathematical modeling of the spread of infectious diseases. A series of lectures given at PANDA, UNMThis are informal notes, mostly based on the bibliography listed at the end and on recent papers in the...

11. 04 Apr 2020 | Potential Scenario Ideas

2011-Yafia-DEModelingMalignantTumorCellsInCompetitionWithImmuneSystemYAFIA, RADOUANE. 2011. A STUDY OF DIFFERENTIAL EQUATION MODELING MALIGNANT TUMOR CELLS IN COMPETITION WITH IMMUNE SYSTEM. International Journal of Biomathematics. 4(2):  185-206Abstract: In this...

12. 02 Apr 2020 | Potential Scenario Ideas

2012-GreerPalin-StudentsInDEAndEpidemiologyModelCampusOutbreakpH1N1Greer, Meredith L.  and Karen A. Palin. 2012. Students in Differential Equations and Epidemiology Model a Campus Outbreak of pH1N1. JOURNAL OF MICROBIOLOGY & BIOLOGY EDUCATION, December:...

13. 02 Apr 2020 | Potential Scenario Ideas

2001-MooreSmith-SIRModelForSpreadOfDiseaseSmith, David and Lang Moore. 2001. The SIR Model for Spread of Disease.  https://www.maa.org/press/periodicals/loci/joma/the-sir-model-for-spread-of-disease-introductionA multiple part tour of SIR Models freely available with Maple,...

14. 02 Apr 2020 | SCUDEM

We post here the problem used in the SCUDEM Lite 2020 Event. Originally planned for the MAA Intermountain Section Meeting on 28 March 2020, at Westminster College, Salt Lake City UT USA, this event was cancelled due to the virus spread in the United States, but teams of students posted their 10...

15. 02 Apr 2020 | Potential Scenario Ideas

2019-Koss-SIR Models_ Differential Equations that Support the Common GoodKoss, Lorelei. 2019. SIR Models: Differential Equations that Support the Common Good.  CODEE Journal. 12 (2019): Article 6. https://scholarship.claremont.edu/codee/vol12/iss1/6/ .12 pages.Abstract: This...

16. 01 Apr 2020 | Potential Scenario Ideas

2018-GreerLivesay-Mathematical Epidemiology Goes to CollegeGreer, Meredith  and Ella Livesay. 2018. Mathematical Epidemiology Goes to College. Math Horizons. 25(3):  8-11.From Introduction:Every year waves of illnesses sweep through college campuses. This seems a...

17. 01 Apr 2020 | Potential Scenario Ideas

2018-Joseph-Balamuralitharan - Nonlinear DE model of Asthma EffectsJoseph ,G Arul J. and S Balamuralitharan. 2018. A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM.  IOP Conf. Series: Journal of Physics: Conf. Series. 1000:...

18. 01 Apr 2020 | Potential Scenario Ideas

2020-Ciaroshi-HowCOVID-19Spreads-MathModelsCIAROCHI, JENNIFER. 2020. How COVID-19 and Other Infecious Diseases Spread: Mathematical Modeling. 12 March 2020.  https://triplebyte.com/blog/modeling-infectious-diseases.Introduction:On December 31, 2019, the Chinese city of...

19. 01 Apr 2020 | Potential Scenario Ideas

2007-RamseyEtAl-ParameterEstforDE-SmoothingApproachJ. R. Statist. Soc. B (2007)69, Part 5, pp. 741–796Ramsay, J. O.. G. Hooker, D. Campbell and J. Cao. 2007. Parameter estimation for differential equations: a generalized smoothing approach. J. R. Statist. Soc....

20. 28 Mar 2020 | Potential Scenario Ideas

2011-MandaiEtAl-MathematicalModelsOfMalaria-ReviewMandal, Sandip , Ram Rup Sarkar and Somdatta Sinha. 2011. Mathematical models of malaria - a review. Malaria Journal. 10:1-19.Abstract: Mathematical models have been used to provide an explicit framework for understanding malaria...