Tags: equilibrium

All Categories (1-20 of 38)

1. 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...

2. 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...

3. 28 Jul 2020 | | Contributor(s):: Therese Shelton

In this modeling activity, students examine the spring-mass-dashpot 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....

4. 14 Jul 2020 | | Contributor(s):: Therese Shelton, Brian Winkel

We examine the spring-mass-dashpot 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.

5. 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.

6. 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 spring-mass using...

7. 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 first-order ordinary differential equations (which...

8. 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.

9. 19 Apr 2020 | | Contributor(s):: Urmi Ghosh-Dastidar

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...

10. 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:...

11. 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...

12. 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...

13. 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):...

14. 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 di erent means for modeling the world around us. Some mathematical toolsare...

15. 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 Solow-Swan Model...

16. 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...

17. 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): 107-115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107-115.pdf .Abstract: The present paper deals...

18. 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.

19. 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...

20. 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...