
1005CSOilSlick
17 Jan 2022   Contributor(s):: Jennie D'Ambroise
We describe a modeling activity for Calculus I students in which modeling with difference and differential equations is appropriate. This model enlightens students as to how derivatives are used in applications as well as a brief introductory encounter with parameter estimation for a linear,...

1160SHeartDeathRate
20 Sep 2021   Contributor(s):: Arati Nanda Pati
In this modeling scenario, we offer students simulation experience from a given data set which represents the heart death rate during the period 2000  2010 using several approaches to include exponential decay, difference equation, differential equation, and parameter estimation using EXCEL. We...

6029STumorGrowth
04 Aug 2021   Contributor(s):: Allison Leigh Lewis
This modeling scenario guides a student familiar with single ordinary differential equation (ODE) models towards the development of a more complex system of two ODEs for describing the evolution of tumor growth over time. Students should have prior experience with solving ODEs using the separable...

3105SFrequencyResponse
22 Jul 2020   Contributor(s):: Brian Winkel
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.

2020Winkel, Brian  Remote Teaching Module  Modeling a Falling Column of Water
07 Jun 2020   Contributor(s):: Brian Winkel
{xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudemaccordion.css"}We place here and in the Supporting Docs all the materials in support of the SIMIODE Remote Teaching Module  Modeling the Falling Column of Water.This module...

2020Winkel, Brian  Modeling Reported Cases of COVID19 in Panama
24 Apr 2020   Contributor(s):: Brian Winkel
Here we model the number of officially recorded cases of COVID19 in Panama. We have postings using Mathematica notebooks and an Excel spreadsheet to consider the following models for y(t), the number of officially recorded cases of COVID19 in Panama as of day t = 1 or 9 March...

5010SDNADegradation
21 Apr 2020   Contributor(s):: Brian Winkel
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...

2019Elishakoff, Isaac  Differential Equations of Love and Love of Differential Equations.
06 Apr 2020   Contributor(s):: Brian Winkel
Elishakoff, Isaac. 2019. Differential Equations of Love and Love of Differential Equations. Journal of Humanistic Mathematics. 9(2): 122. See https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1549&context=jhm.SynopsisIn this paper, simple...

2013Dontwi, I. K. et al.  Modeling Memorization and Forgetfulness Using Differential Equations.
05 Apr 2020   Contributor(s):: Brian Winkel
Dontwi, I. K. et al. 2013. Modeling Memorization and Forgetfulness Using Differential Equations. Progress in Applied Mathematics. 6 (1), 1{11.See http://www.cscanada.net/index.php/pam/article/view/j.pam.1925252820130601.3421 .Abstract: Research Context: The aim of the study...

2018Yu, Polly Y. and Gheorghe Craciun  Mathematical Analysis of Chemical Reaction Systems.
05 Apr 2020   Contributor(s):: Brian Winkel
Yu, Polly Y. and Gheorghe Craciun. 2018. Mathematical Analysis of Chemical Reaction Systems. Isr. J. Chem. 58: 1 – 10.See https://people.math.wisc.edu/~craciun/PAPERS_NEW/Yu_Craciun_2018Israel_Journal_of_Chemistry.pdf .Abstract: The use of mathematical methods for the...

2012ObengDenteh; W., Odum KoduaNana; S. Owusu Ansah; R. Kwame Ansah; and Alex Quashie Nyamadu  Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology.
05 Apr 2020   Contributor(s):: Brian Winkel
ObengDenteh1, W., Odum KoduaNana1, S. Owusu Ansah1, R. Kwame Ansah1 and Alex Quashie Nyamadu. 2012. Modelling Students’ Affinity for Lecture Attendance Using Differential Equations: The Case of Students of Kwame Nkrumah University of Science and Technology. British Journal of Education,...

1999McCartney, Mark and Malachy Carey  Modelling Traffic Flow: Solving and Interpreting Differential Equations.
05 Apr 2020   Contributor(s):: Brian Winkel
McCartney, Mark and Malachy Carey. 1999. Modelling Traffic Flow: Solving and Interpreting Differential Equations. Teaching Mathematics and its Applications: An International Journal of the IMA. 18(3):...

2016Barbarossa, Maria Vittoria and Christina Kuttler  Mathematical Modeling of Bacteria Communication in Continuous Cultures.
01 Apr 2020   Contributor(s):: Brian Winkel
Barbarossa, Maria Vittoria and Christina Kuttler. 2016. Mathematical Modeling of Bacteria Communication in Continuous Cultures. Appl. Sci. 6(149): 117.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

2018Joseph ,G Arul J. and S Balamuralitharan  A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
01 Apr 2020   Contributor(s):: Brian Winkel
Joseph ,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:...

2020Chen,TianMu, Jia Rui, QiuPeng Wang, ZeYu Zhao, JingAn Cui, and Ling Yin  MathModelSimulationPhaseBasedTransmissabilityiCoronoaVirus
01 Apr 2020   Contributor(s):: Brian Winkel
Chen,TianMu, Jia Rui, QiuPeng Wang, ZeYu Zhao, JingAn Cui, and Ling Yin. 2020. A mathematical model for simulating the phasebased transmissibility of a novel coronavirus. Infectious Diseases of Poverty. 9(24): 18. Abstract:Background: As reported by the World Health...

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...

2017Gupta, Richa and Deepak Kumar  Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient
27 Mar 2020   Contributor(s):: Brian Winkel
Gupta, Richa and Deepak Kumar. 2017. Numerical Model for Glucose Metabolism for Various Types of Food and Effect of Physical Activities on Type 1 Diabetic Patient. Applied Mathematics. 7(2): 1922.See http://article.sapub.org/10.5923.j.am.20170702.01.html...

2017Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala  Mathematical Modeling Applied to Sustainable Management of Marine Resources
27 Mar 2020   Contributor(s):: Brian Winkel
Biswasa, Haider Ali, Rajib Hossaina, and Mitun Kumar Mondala. 2017. Mathematical Modeling Applied to Sustainable Management of Marine Resources. Procedia Engineering. 194: 337 – 344. Abstract: In this work, we formulate and study a nonlinear mathematical model of...

2015Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota  Optimal control of an SIR model with changing behavior through an education campaign.
27 Mar 2020   Contributor(s):: Brian Winkel
Joshi, Hem Raj, Suzanne Lenhart, Sanjukta Hota. 2015 Optimal control of an SIR model with changing behavior through an education campaign. Electronic Journal of Differential Equations. 2015(50): 114.See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .Abstract. An SIR type...