Tags: population

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  1. 1-087-S-ThanosPopulationDynamics

    07 Oct 2019 | | Contributor(s):: Sarah Elizabeth Ritchey Patterson, Blain Patterson

    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...

  2. 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.

  3. Exploring differential equation of HIV infection

    21 Jun 2019 | | Contributor(s):: Rebecca L. Goulson

    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.  

  4. 1-001c-S-PopulationDecayThenSome

    18 Jun 2019 | | Contributor(s):: Dina Yagodich

    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.

  5. 1-109-S-EmployeeAttrition

    25 Mar 2019 | | Contributor(s):: Lyle Clifford Smith

    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...

  6. 1986-Cooke-Linear And Logistic Harvesting Models-Math Modeling Journal

    09 Dec 2018 | | Contributor(s):: Brian Winkel

    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...

  7. 6-006-T-ZombieGameHvZ

    09 Sep 2018 | | Contributor(s):: Jue Wang

    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...

  8. 1-067-S-ModelingWithSigmoidCurves

    18 Aug 2018 | | Contributor(s):: Natali Hritonenko

    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:...

  9. Two competing populations: simulations with differential equations

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    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...

  10. Population Modeling

    01 Mar 2018 | | Contributor(s):: Hans Rudolf Schneebeli, Claudio Marsan

    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....

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

    18 Jan 2018 | | Contributor(s):: Michael Karls

    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...

  12. 2012-Levermore-OrdinaryDifferentialEquations-Graphical MethodsApplications

    01 Dec 2017 | | Contributor(s):: Brian Winkel

    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....

  13. 2010-Hussein-Predator-PreyModeling

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    2010. Hussein, Shaza. Predator-Prey Modeling. Undergraduate Journal of Mathematical Modeling: One + Two. 3(1):  Article 20. http://scholarcommons.usf.edu/ujmm/vol3/iss1/32 .   Accessed 27 November 2017.Abstract. Predator-prey models are useful and often used in the environmental...

  14. 2015-Endale-ApplicationsOfODEsToRealWorldSystems

    26 Nov 2017 | | Contributor(s):: Brian Winkel

    2015. Endale, Mersha Amdie. Some application of first order differential equations to real world system. Masters Thesis. Haramaya University.We quote from the opening by the author,“The subject of differential equations is important part of mathematics for understanding the physical...

  15. Math 216 Demonstrations

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with spring...

  16. Logistic Equation Harvesting Variations

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Logistic Equation Harvesting Variations.  Activitues.  5 pp.This is a set of descriptions of various logistic models are offered.  Keywords:  differential equation, model, harvest, constant harvest, varying harvest , disease, extinction, explosion, population, restocking

  17. 2000-IdelsWang-Harvesting fisheries management strategies with modified effort function

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Idels, Lev. V. and Mei Wang. 2000. Harvesting Fisheries Management Strategies With Modified Effort Function . Int. J. Modelling, Identification and Control. Preprint.Abstract: In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse...

  18. 2010-SteinworthEtAl- modeling a fish population and the effects of overfishing

    12 Sep 2017 | | Contributor(s):: Brian Winkel

    Steinworkth, Bailey, Yuhui Wand, Xing Zhang. 2010. Modeling of a Fish Population and the Effects of Overfishing. Student Project. James Madison University. 22 pp.Abstract:  According to the United Nations, 200 million people depend on fishing as their source of food or livelihood.1 However,...

  19. Verhulst Population Model with Harvest

    11 Sep 2017 | | Contributor(s):: Brian Winkel

    Verhulst Population Model with HarvestNotes. 20 pp.Building on the Verhulst model of limited growth there are a number of problems and solutions offered, including issues of harvesting.Keywords:  differential equation, model, problems, solutions, Verhulst, population, harvest,

  20. 2005-Howard-Modeling with Differential Equations

    10 Sep 2017 | | Contributor(s):: Brian Winkel

    Howard P. 2005. Modeling with ODE. Notes. 48 pp.Great exposition and lots of Modeling Scenarios almost laid out completely as exercises.From the textOverviewA wide variety of natural phenomena such as projectile motion, the flow of electric current, and the progression of chemical reactions are...