
1135SFishHarvesting
08 Aug 2021   Contributor(s):: Jennifer Crodelle
This modeling scenario will introduce students to the concept of a bifurcation through a fish harvesting model. This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this...

5076SLanchesterLaws
27 Jul 2021   Contributor(s):: Blain Patterson
Lanchester's laws are used to calculate the relative strengths of military forces. The Lanchester equations are differential equations describing the time dependence of two armies' strengths A and B as a function of time, with the function depending only on A and B. In this project, you...

2020Shelton, Therese  Remote Teaching Module  Car Suspensions
28 Jul 2020   Contributor(s):: Therese Shelton
In this modeling activity, students examine the springmassdashpot that is part of a car suspension. We model a "quarter car'', meaning a single wheel, and compare effects of different masses, spring constants, damping coefficients, and the angle at which the assembly is installed....

3034SCarSuspensions
14 Jul 2020   Contributor(s):: Therese Shelton, Brian Winkel
We examine the springmassdashpot that is part of a car suspension, how the ride is related to parameter values, and the effect of changing the angle of installation. We model a "quarter car'', meaning a single wheel.

3027SBobbingDropping
10 Jul 2020   Contributor(s):: Brian Winkel
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.

2020Winkel, Brian  Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs
16 Jun 2020   Contributor(s):: Brian Winkel
We place here all the materials in support of the SIMIODE Remote Teaching Module  Spring Design to Meet Specs at Minimum Costs. This Module is about second order, linear, ordinary differential equations.The class lesson starts with building a model of a springmass using...

1136SMarriageAge
11 Jun 2020   Contributor(s):: Tracy Weyand
Students will build and analyze a model of the fraction of people who are married (for the first time) by a certain age. This model comes from a paper by Hernes and, in this project, is compared to another model used by Coale.These models are firstorder ordinary differential equations (which...

3031SSpringCost
28 May 2020   Contributor(s):: Brian Winkel
This is a situation where we are charged with analyzing costs for a spring to meet certain specifications.

6045SCholeraTranmission
19 Apr 2020   Contributor(s):: Urmi GhoshDastidar
A recent cholera outbreak in Haiti brought public attention to this disease. Cholera, a diarrheal disease, is caused by an intestinal bacterium, and if not addressed in a timely manner may become fatal. During the project described here, the students will learn how to solve and address a...

2014Monagan, Michael  The House Warming Model. Department of Mathematics
05 Apr 2020   Contributor(s):: Brian Winkel
Monagan, Michael. 2014. The House Warming Model. Department of Mathematics, Simon Fraser UniversitySee http://www.cecm.sfu.ca/~mmonagan/papers/HouseReporter.pdf .Maple commands: s o l v e , c o l l e c t , d s o l v e , o d e p l o t , D E p l o tIntroduction:...

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...

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...

2018Chen, Franklin M.  Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model.
26 Mar 2020   Contributor(s):: Brian Winkel
Chen, Franklin M. 2018. Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model. Journal of Computational Science Education. 9(1):...

2014Bodine, Erin N.  Discrete Difference Equations.
26 Mar 2020   Contributor(s):: Brian Winkel
Bodine, Erin N. Discrete Difference Equations. Rhodes College. Notes. 37 pp. From, An Introduction to Discrete Mathematical Modeling"The field of mathematics provides many dierent means for modeling the world around us. Some mathematical toolsare...

2017Liu, Xiang  Mathematical Studies of Optimal Economic Growth Model with Monetary Policy. Thesis.
25 Mar 2020   Contributor(s):: Brian Winkel
Liu, Xiang . 2017. Mathematical Studies of Optimal Economic Growth Model with Monetary Policy. College of William & Mary: W&M Scholar Works. Thesis. 58 pp.Abstract: In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from SolowSwan Model...

2007Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides.
20 Mar 2020   Contributor(s):: Brian Winkel
Altafini, Claudio. 2007. ODEs models in Systems Biology. Lecture 5 & 6 SISSA. Presentation. 27 slides. From Opening Slide Systems Biology = investigates function of genetic, molecular and cellular processes in a systematic way: *making (biologically relevant) sense out of...

2015Doust, Rahmani M.H. and Mansour Saraj  The logistic modeling population: having harvesting factor.
20 Mar 2020   Contributor(s):: Brian Winkel
Doust, Rahmani M.H. and Mansour Saraj. 2015. The logistic modeling population: having harvesting factor. Yugoslav Journal of Operations Research. 25(1): 107115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107115.pdf .Abstract: The present paper deals...

1001dSHotelPopulationDecay
03 Jul 2019   Contributor(s):: Dina Yagodich
We offer students an opportunity to create a simulation model a hotel population with clients checking in and checking out according to two different disciplines as well as a number of different starting populations in the hotel.

1143SPopulationModelVariationsMATLAB
17 Feb 2019   Contributor(s):: Bill Skerbitz
Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models while learning some basic MATLAB functions for working with differential equations. They will also work with other utilities...

2017Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni  Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
07 Mar 2018   Contributor(s):: Imane Agmour, Meriem Bentounsi, Naceur Achtaich, Youssef El Foutayeni
Imane Agmour, Meriem Bentounsi, Naceur Achtaich, and Youssef El Foutayeni. 2017. Optimization of the Two Fishermen’s Profits Exploiting Three Competing Species Where Prices Depend on Harvest. International Journal of Differential Equations. Volume 2017, Article ID 3157294, 17...