## Tags: model

### All Categories (1-20 of 310)

1. 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,...

2. 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...

3. 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...

4. 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.

5. 07 Jun 2020 | | Contributor(s):: Brian Winkel

{xhub:include type="stylesheet" filename="pages/resource.css"}{xhub:include type="stylesheet" filename="pages/scudem-accordion.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...

6. 24 Apr 2020 | | Contributor(s):: Brian Winkel

Here we model the number of officially recorded cases of COVID-19 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 COVID-19 in Panama as of day t = 1 or 9 March...

7. 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...

8. 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): 1-22. See https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1549&context=jhm.SynopsisIn this paper, simple...

9. 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...

10. 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_2018-Israel_Journal_of_Chemistry.pdf .Abstract: The use of mathematical methods for the...

11. 05 Apr 2020 | | Contributor(s):: Brian Winkel

Obeng-Denteh1, W., Odum Kodua-Nana1, 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,...

12. 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):...

13. 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): 1-17.See https://www.researchgate.net/publication/303246621_Mathematical_Modeling_of_Bacteria_Communication_in_Continuous_Cultures...

14. 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:...

15. 01 Apr 2020 | | Contributor(s):: Brian Winkel

Chen,Tian-Mu, Jia Rui, Qiu-Peng Wang, Ze-Yu Zhao, Jing-An Cui, and Ling Yin. 2020.   A mathematical model for simulating the phase-based transmissibility of a novel coronavirus. Infectious Diseases of Poverty. 9(24): 1-8. Abstract:Background: As reported by the World Health...

16. 01 Apr 2020 | | Contributor(s):: Brian Winkel

Choisy, M., J.-F. Guégan, and P. Rohani1. 2007. Mathematical Modeling of Infectious Diseases...

17. 28 Mar 2020 | | Contributor(s):: Brian Winkel

Mandal, Sandip , Ram Rup Sarkar and Somdatta Sinha. 2011. Mathematical models of malaria - a review. Malaria Journal. 10:1-19.See https://pubmed.ncbi.nlm.nih.gov/21777413/ .Abstract: Mathematical models have been used to provide an explicit framework for understanding malaria...

18. 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): 19-22.See http://article.sapub.org/10.5923.j.am.20170702.01.html...

19. 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...

20. 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): 1-14.See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .Abstract. An SIR type...