Tags: population dynamics

All Categories (1-20 of 64)

  1. 1-024-MalariaControl-ModelingScenario

    26 May 2022 | Teaching Materials | Contributor(s):

    By David Culver

    United States Military Academy, West Point NY USA

    This project offers students a chance to make policy recommendations based on the analysis of models using both linear (exponential decay) and non-linear (logistic growth) differential equations.

    https://qubeshub.org/publications/3317/?v=1

  2. 1-038-Ebola-ModelingScenario

    14 Nov 2022 | Teaching Materials | Contributor(s):

    By Lisa Driskell

    Colorado Mesa University, Grand Junction CO USA

    Students will use data published by the World Health Organization to model the 2014 outbreak of the Ebola virus in West Africa. We begin with a simple exponential growth model and move through the...

    https://qubeshub.org/publications/3070/?v=1

  3. 1-039-StochasticPopModels-ModelingScenario

    25 May 2022 | Teaching Materials | Contributor(s):

    By Daniel Flath

    Macalester College, St. Paul Mn USA

    We develop strategies for creating a population model using some simple probabilistic assumptions. These assumptions lead to a system of differential equations for the probability that a system is...

    https://qubeshub.org/publications/3301/?v=1

  4. 1-119-DairyFarming-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Robert Krueger

    A simple first order population growth model is presented. The challenge is to produce a final differential equation which is the result of the difference or ratio of birth and death rates. This...

    https://qubeshub.org/publications/3212/?v=1

  5. 1-120-CircularRollerCoaster-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Kevin Huang

    Centennial High School, Ellicott City MD USA

    Students study the dynamics of a circular roller coaster and work out the equations of motion in the ideal case as well as considering the interesting complication of including kinetic friction....

    https://qubeshub.org/publications/3211/?v=1

  6. 1-124-WorldPopulation-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Lenka Pribylova1, Pavel Morcinek1, Jan Sevcik1

    Masaryk University, Brno CZECH REPUBLIC

    We build models of world population using data to estimate growth rate.

    https://qubeshub.org/publications/3209/?v=1

  7. 1-135-FishHarvesting-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Jennifer Crodelle

    Middlebury College, Middlebury VT USA

    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 case the...

    https://qubeshub.org/publications/3204/?v=1

  8. 1-143-PopulationModelVariationsMATLAB-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By William (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.

    https://qubeshub.org/publications/3196/?v=1

  9. 1-150-CancerTherapy-ModelingScenario

    22 May 2022 | Teaching Materials | Contributor(s):

    By Iordanka Panayotova1, Maila Hallare2

    1. Christopher Newport University 2. NSU Math

    This activity builds upon elementary models on population growth. In particular, we compare two different treatment models of cancer therapy where in one, surgery happens before therapy and in the...

    https://qubeshub.org/publications/3195/?v=1

  10. 1-190-IntroClass-ModelingScenario

    21 May 2022 | Teaching Materials | Contributor(s):

    By William (Bill) Skerbitz

    Wayzata High School, Plymouth MN USA

    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    https://qubeshub.org/publications/3189/?v=1

  11. 1999-Meyer-Ausubel-Carrying Capacity-A Model with Logistically Varying Limits

    02 Apr 2023 | Teaching Materials | Contributor(s):

    By Meyer Perrin

    NA

    This paper extends the logistic equation to simple growth model with a logistically increasing carrying capacity. This is applied to human population situations in several countries with fits to data.

    https://qubeshub.org/publications/3938/?v=1

  12. 2000-Armson-Cockroft-Stone-Modelling a barnacle goose population

    03 Apr 2023 | Teaching Materials | Contributor(s):

    By R J Armson

    NA

    This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth....

    https://qubeshub.org/publications/3940/?v=1

  13. 2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints

    02 Apr 2023 | Teaching Materials | Contributor(s):

    By Dwayne Anderson

    NA

    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    https://qubeshub.org/publications/3942/?v=1

  14. 2006-Graves-Peckham-Pastor-2D differential equations model for mutualism

    05 Apr 2023 | Teaching Materials | Contributor(s):

    By Wendy Gruner Graves

    NA

    We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.

    https://qubeshub.org/publications/3984/?v=1

  15. 2006-Michael_Coleman-Population Modeling with Ordinary Differential Equations

    08 Apr 2023 | Teaching Materials | Contributor(s):

    By Michael Coleman

    NA

    We will investigate some cases of differential equations population models beyond the separable case and then expand to some basic systems of ordinary differential equations.

    https://qubeshub.org/publications/3989/?v=1

  16. 2007-Hui_Luo-Population Modeling by Differential Equations

    06 Apr 2023 | Teaching Materials | Contributor(s):

    By hui Luo

    NA

    A general model for the population of Tibetan antelope is constructed. The present model shows that the given data is reasonably logistic.

    https://qubeshub.org/publications/4002/?v=1

  17. 2007-I-Liang_Chern-Mathematical Modeling and Differential Equations

    06 Apr 2023 | Teaching Materials | Contributor(s):

    By I-Liang Chern

    NA

    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations:• population dynamics in biology• dynamics in classical...

    https://qubeshub.org/publications/4003/?v=1

  18. 2010-Shaza_Hussein-Predator-Prey Modeling

    06 Apr 2023 | Teaching Materials | Contributor(s):

    By Shaza Hussein

    NA

    The objective of this project was to create five projections of animal populations based on a simple predator-prey model and explore the trends visible.

    https://qubeshub.org/publications/4048/?v=1

  19. 2012-Michael_Kerckhove-From Population Dynamics to Partial Differential Equations

    07 Apr 2023 | Teaching Materials | Contributor(s):

    By Michael Kerckhove

    NA

    This article illustrates PDE models for location-dependent carrying capacities, migrations, and the dispersion of a population.

    https://qubeshub.org/publications/4082/?v=1

  20. 2014-XM-Huang-Ordinary Differential Equation Model and its Application in the Prediction Control of Population

    10 Apr 2023 | Teaching Materials | Contributor(s):

    By X M Huang

    NA

    In this paper, we study two kinds of ordinary differential equation models, i.e., Malthus model and Logistic model, and discuss their applications in the prediction control of population.

    https://qubeshub.org/publications/4123/?v=1