Tags: equilibrium

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  1. 1-135-S-FishHarvesting

    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. 5-076-S-LanchesterLaws

    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. 2020-Shelton, Therese - Remote Teaching Module - Car Suspensions

    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. 3-034-S-CarSuspensions

    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. 3-027-S-BobbingDropping

    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. 2020-Winkel, 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 spring-mass using...

  7. 1-136-S-MarriageAge

    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. 3-031-S-SpringCost

    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. 6-045-S-CholeraTranmission

    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. 2014-Monagan, 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:...

  11. 2015-Joshi, 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): 1-14.See https://ejde.math.txstate.edu/Volumes/2015/50/joshi.pdf .Abstract. An SIR type...

  12. 2015-Audestad, 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...

  13. 2018-Chen, 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):...

  14. 2014-Bodine, 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 di erent means for modeling the world around us. Some mathematical toolsare...

  15. 2017-Liu, 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 Solow-Swan Model...

  16. 2007-Altafini, 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...

  17. 2015-Doust, 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): 107-115.See http://elib.mi.sanu.ac.rs/files/journals/yjor/51/yujorn48p107-115.pdf .Abstract: The present paper deals...

  18. 1-001d-S-HotelPopulationDecay

    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. 1-143-S-PopulationModelVariationsMATLAB

    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. 2017-Imane 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...