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  1. 1-087-T-ThanosPopulationDynamics

    07 Oct 2019 | Modeling Scenarios

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of...

  2. 1-087-S-ThanosPopulationDynamics

    07 Oct 2019 | Modeling Scenarios

    In the end of the “Avengers Infinity War,” the villain Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species? Investigate the validity of his...

  3. 1-001d-T-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios

    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.

  4. 1-001d-S-HotelPopulationDecay

    03 Jul 2019 | Modeling Scenarios

    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.

  5. Exploring differential equation of HIV infection

    21 Jun 2019 | Presentations

    Exploring differential equation models of the HIV infectionPresentation by Rebecca L. Goulson Department of Mathematics Pacific Lutheran University Tacoma, WA, May, 2015. 67 SlidesModels presented and data analyzed to determine parameters.  

  6. 1-001c-T-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  7. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | Modeling Scenarios

    This is an adaption of Modeling Scenario 1-001-S-MandMDeathAndImmigration  in which death and immigration of m&m's is replaced by check outs and arrivals in a hotel and makes specific use of MatLab coding.

  8. 1-109-S-EmployeeAttrition

    25 Mar 2019 | Modeling Scenarios

    This scenario models the loss of employees and the employer's attempt to retain them through stock options. This is intended for introductory students and is paired well with exponential growth/decay material. We also introduce the 5% rule to sort possible factors into assumptions and...

  9. 1-109-T-EmployeeAttrition

    25 Mar 2019 | Modeling Scenarios

    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...

  10. 1-109-T-EmployeeAttrition

    25 Mar 2019 | Modeling Scenarios

    This scenario models the loss of employees and the employer's attempt to retain them through stock options. It most naturally is solved with a first-order linear decay model with two populations. This is intended for introductory students and is paired well with exponential growth/decay...

  11. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

    09 Dec 2018 | Potential Scenario Ideas

    Cook, K. L. and M. Witten. 1986. One-dimensional linear and logistic harvesting models. Mathematical Modeling. 7: 301-340.Abstract: Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed. Both...

  12. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | Modeling Scenarios

    Invented in 2005, Humans vs. Zombies, or HvZ, is a game of tag, predominantly played at US college campuses. In this activity, students use systems of non-linear differential equations to model the HvZ game. Standard SIR and SIRS models are introduced to guide students as they set up the...

  13. 1-067-T-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  14. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | Modeling Scenarios

    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the corresponding functions have a sigmoidal or S-shape. The assignment contains two opposite, but related tasks:...

  15. 6-070-T-BeerBubbles

    24 Apr 2018 | Modeling Scenarios

    The goal of this project is to set up and numerically solve a first-order nonlinear ordinary differential equation (ODE) system of three equations in three unknowns that models beer bubbles that form at the bottom of a glass and rise to the top.  The system solution is then used to verify...

  16. Two competing populations: simulations with differential equations

    01 Mar 2018 | Articles and Publications

    Abstract: Suppose two populations are competing with each other. How can they then develop? We offer insights with simulation calculations. In the model is the evolution of the biomass of the two populations described with differential equations. A fundamental building block is the logistic...

  17. Population Modeling

    01 Mar 2018 | Articles and Publications

    This paper offers many problems inolving a single population model while introducing several specific models. Both numerical methods and qualitative anlyses are offered.The paper is in German and is entitled, "Populationsmodelle: Eine Einführung in Differentialgleichungen."Hans R....

  18. Mike Karls - Incorporating a Modeling First Approach into a Traditional ODE Course

    18 Jan 2018 | Presentations

    Incorporating a Modeling First Approach into a Traditional ODE Course by Mike Karls. Ball State University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13...

  19. Mike Karls - Incorporating a Modeling First Approach into a Traditional ODE Course

    18 Jan 2018 | Presentations

    Incorporating a Modeling First Approach into a Traditional ODE Course by Mike Karls. Ball State University.A talk given at the AMS Special Session on Modeling in Differential Equations - High School, Two-Year College, Four-Year Institution at Joint Mathematics Meetings, San Diego CA, 9-13...

  20. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | Potential Scenario Ideas

    Levermore. David. 21012. First-Order Ordinary Differential Equations II:  Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. First-Order Equations: General Theory5.1. Well-Posed Problems 25.2. Existence and Uniqueness 36. First-Order Equations: Graphical Methods6.1....