All Categories (1-20 of 24)

1. 6-022-CannibalismPredatorPrey-ModelingScenario

   04 Dec 2023 | Teaching Materials | Contributor(s):

   By Evan Cowden¹, Maila Hallare¹

   United States Air Force Academy, USAFA CO USA

   The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when...

   https://qubeshub.org/publications/4580/?v=1

2. 6-068-VisualizingPredator-PreyCycles

   22 Aug 2023 | Teaching Materials | Contributor(s):

   By Evan Cowden¹, Maila Hallare¹

   US Air Force Academy, USAFA CO USA

   In this modeling scenario, we propose a gentle introduction to limit cycles using nullcline analysis and a spreadsheet graphical approach via the fourth-order Runge-Kutta method. We will be...

   https://qubeshub.org/publications/4515/?v=1

3. 2023-TechShareNotes. Differential Equations Modeling

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

   By Tech Share Notes

   NA

   TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting questions and problems as well as...

   https://qubeshub.org/publications/4230/?v=1

4. 2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey

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

   By Malay Banerjee

   NA

   The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

   https://qubeshub.org/publications/4133/?v=1

5. 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

6. 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

7. 2009-Das-EtAl-Bioeconomic harvesting of a pre-predator fishery

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

   By Tapasi Das

   NA

   This paper deals with the problem of non-selective harvesting of a prey–predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis.

   https://qubeshub.org/publications/4027/?v=1

8. 2006-Wilensky-Reisman-Thinking Like a Wolf a Sheep or a Firefly

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

   By U Wilensky

   NA

   We describe a computation-based approach that enables students to investigate the connections between different biological levels using agent-based, embodied modeling tools.

   https://qubeshub.org/publications/3996/?v=1

9. 2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge

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

   By Tapan Kumar Kar

   NA

   This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

   https://qubeshub.org/publications/3995/?v=1

10. 2006-Cooke-Elderkin-Huang-Predator-Prey interactions with delays due to juvenile maturation

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

    By Kenneth Cooke

    NA

    This paper focuses on predator-prey models with juvenile/mature class structure for each of the predator and prey populations in turn, further classified by whether juvenile or mature individuals...

    https://qubeshub.org/publications/3981/?v=1

11. 2005-HP-Hirst-Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling

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

    By H P hirst

    NA

    Using the Historical Development of Predator-Prey Models to Teach Mathematical Modeling.

    https://qubeshub.org/publications/3975/?v=1

12. 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

13. 2014-Chivers-EtAl-Predator-prey systems depend on a prey refuge

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

    By W J Chivers

    NA

    We present an agent-based model which does not require the factors or constraints of previous models to reproduce all six patterns in persistent populations.

    https://qubeshub.org/publications/3914/?v=1

14. 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

15. 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

16. 3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario

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

    By Saraha Patterson¹, Blain Patterson

    Virginia Military Institute, Lexington VA USA

    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?

    https://qubeshub.org/publications/3147/?v=1

17. 6-026-IsleRoyaleModeling-ModelingScenario

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

    By Stephen Morse¹, Brian Allen¹, Stanley Florkowski¹

    United States Military Academy, West Point, NY USA

    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    https://qubeshub.org/publications/3087/?v=1

18. The Insect Predation Game: Evolving Prey Defenses and Predator Responses

    14 May 2018 | Teaching Materials | Contributor(s):

    By Miguel Abran Vasquez¹, W. Wyatt Hoback², Tamara Smith²

    1. El Paso Community College 2. University of Nebraska at Kearney

    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4

    https://qubeshub.org/publications/539/?v=1

19. The Insect Predation Game: Evolving Prey Defenses and Predator Responses

    10 May 2018 | Teaching Materials | Contributor(s):

    By Lazella Lawson¹, W. Wyatt Hoback², Tamara Smith²

    1. The Master's University 2. University of Nebraska at Kearney

    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4

    https://qubeshub.org/publications/523/?v=1

20. The Insect Predation Game

    10 May 2018 | Teaching Materials | Contributor(s):

    By John Doudna¹, W. Wyatt Hoback², Tamara Smith²

    1. Lansing Community College 2. University of Nebraska at Kearney

    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4The main learning objective of this module was to tie together what students had learned during the last...

    https://qubeshub.org/publications/522/?v=1