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  1. 1-001c-PopulationDecayThenSome-ModelingScenario

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

    By Dina Yagodich

    Frederick Community College, Frederick MD USA

    You will be modeling the following situation: 100 people are in a hotel. Each day, each person has a random chance of 50% of leaving the hotel. No new people enter the hotel.

    https://qubeshub.org/publications/3286/?v=1

  2. 1-004-MicroorganismImmigration-ModelingScenario

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

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We present a modeling opportunity for population death with non-constant immigration and suggest the use of both discrete and continuous models with a comparison of results.

    https://qubeshub.org/publications/3051/?v=1

  3. 1-018-LogisticPopModel-ModelingScenario

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

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We offer artificial (toy) and historical data on limited growth population situations in the study of protozoa and lead students through several approaches to estimating parameters and determining...

    https://qubeshub.org/publications/2964/?v=1

  4. 1-065-AlgalBlooms-ModelingScenario

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

    By R. Corban Harwood

    George Fox University, Newberg OR USA

    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.

    https://qubeshub.org/publications/3265/?v=1

  5. 1-066-USCensusModeling-ModelingScenario

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

    By Jean Marie Linhart

    The United States Census, conducted every 10 years, gives data on the United States population, that can be modeled with the exponential, logistic, or Gompertz functions.

    https://qubeshub.org/publications/3264/?v=1

  6. 1-081-TumorGrowth-ModelingScenario

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

    By Randy Boucher, Ryan Miller

    Students will transform, solve, and interpret a tumor growth scenario using non-linear differential equation models. Two population growth models (Gompertz and logistic) are applied to model tumor...

    https://qubeshub.org/publications/3253/?v=1

  7. 1-087-ThanosPopulationDynamics-ModelingScenario

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

    By Blain Patterson, Sarah 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...

    https://qubeshub.org/publications/3241/?v=1

  8. 1-091-InvestigatingSlopeFields-ModelingScenario

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

    By Ben Dill1, Holly Zullo2

    1. Helena MT USA 2. Huntsman Cancer Institute, Salt Lake City UT USA

    Students will gain experience writing differential equations to model various population scenarios, they will create slope fields to view the solution curves using software, and they will discuss...

    https://qubeshub.org/publications/3234/?v=1

  9. 1-100-EngineeringDemographics-ModelingScenario

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

    By Brody Dylan Johnson1, Elodie Pozzi

    Saint Louis University

    Students show how models can be used to examine social issues. The students examine three different models and use numerical methods to apply each model to demographic data for the percentage of...

    https://qubeshub.org/publications/3225/?v=1

  10. 1-109-EmployeeAttrition-ModelingScenario

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

    By Lyle Smith III

    Bryan College, Dayton TN USA

    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.

    https://qubeshub.org/publications/3003/?v=1

  11. 1-170-CensusModeling-ModelingScenario

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

    By Gary William Epp1, Jean Marie Linhart

    Central Washington University, Ellensburg WA USA

    Students who have studied models for population are likely to be familiar with the exponential and the logistic population models. The goal here is to explore the role of modeling assumptions in...

    https://qubeshub.org/publications/3190/?v=1

  12. 1975-David_Burghes-Population dynamics An introduction to differential equations

    19 Mar 2023 | Teaching Materials | Contributor(s):

    By David Burghes

    NA

    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    https://qubeshub.org/publications/3841/?v=1

  13. 1975-DH_Griffel-Teaching the formation and solution of differential equations

    19 Mar 2023 | Teaching Materials | Contributor(s):

    By D H Griffel

    NA

    This paper raises many interesting questions about teaching the formation (and solution) of differential equations, i.e. modeling with differential equations.

    https://qubeshub.org/publications/3842/?v=1

  14. 1986-Cook-Witten-One-dimensional linear and logistic harvesting models

    26 Mar 2023 | Teaching Materials | Contributor(s):

    By K L Cook

    NA

    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.

    https://qubeshub.org/publications/3870/?v=1

  15. 1994-Paul_Davis-Asking Good Questions about Differential Equations

    26 Mar 2023 | Teaching Materials | Contributor(s):

    By Paul Davis

    NA

    A general essay about the Rule of Three – numerical, algebraic, and graphical perspectives + modeling with one illustration about Irish population.

    https://qubeshub.org/publications/3869/?v=1

  16. 1998-Elly_Claus-McGahan-Modeling Projects in a Differential Equations Course

    26 Mar 2023 | Teaching Materials | Contributor(s):

    By Elly Claus-McGahan

    NA

    Here we discuss the value of student designed, in-depth, modeling projects in a differential equations course and how to prepare them for it.

    https://qubeshub.org/publications/3873/?v=1

  17. 2001-A_Tsoularis-Analysis_of_logistic_growth_models

    11 Mar 2023 | Teaching Materials | Contributor(s):

    By A. Tsoularis

    NA

    The paper presents an historical development of the logistic equation in its various forms, including Verhulst, Pearl and Reed, Gompertz, Bertalanffy, Richards, and others.

    https://qubeshub.org/publications/3783/?v=1

  18. 2009-Peter-Howard-Modeling With ODE

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

    By Peter Howard

    NA

    This is a set of class notes rich in examples and ideas for modeling. There is some MatLab code in support of some of the activities.

    https://qubeshub.org/publications/4034/?v=1

  19. 2011-Brian_Winkel-Parameter Estimates in Differential Equation Models for Population Growth

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

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We estimate the parameters present in several differential equation models of population growth, specifically logistic growth models and multiple species competition models.

    https://qubeshub.org/publications/4052/?v=1

  20. 2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth

    13 Mar 2023 | Teaching Materials | Contributor(s):

    By Brian Winkel

    SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    https://qubeshub.org/publications/3811/?v=1

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