All Categories (1-20 of 34)

1. 2018-Arden_Baxter-Modeling Public Opinion

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

   By Arden Baxter

   NA

   In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in...

   https://qubeshub.org/publications/4218/?v=1

2. 2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign

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

   By Hem Raj Joshi

   NA

   We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

   https://qubeshub.org/publications/4139/?v=1

3. 2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations

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

   By Lucas Pulley

   NA

   This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.

   https://qubeshub.org/publications/4061/?v=1

4. 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

5. 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

6. 2014-Andre_De Ross-Modeling Population Dynamics

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

   By Andre De Ross

   NA

   This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

   https://qubeshub.org/publications/3923/?v=1

7. 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

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island

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

    By Lorelei Koss

    NA

    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    https://qubeshub.org/publications/3781/?v=1

15. 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

16. 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

17. 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

18. 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

19. 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

20. 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