Resources

Text Search:
Applied Filters
    Article or Presentation
    170

    views

    63

    downloads

    0

    comments

    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
    Potential Scenario
    200

    views

    103

    downloads

    0

    comments

    2018-LA_Peletier-Ordinary Differential Equations in Pharmacodynamics
    Good mix of theory, application, solution technique in a number of areas of applications of differential equations. Develops qualitative behavior issues. Exercises, but not about models, more about the mathematics only.
    Modeling Scenario
    251

    views

    219

    downloads

    0

    comments

    1-135-FishHarvesting-ModelingScenario
    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 rate of harvesting fish.
    Potential Scenario
    171

    views

    54

    downloads

    0

    comments

    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three differential equations.
    Modeling Scenario
    308

    views

    290

    downloads

    0

    comments

    1-190-IntroClass-ModelingScenario
    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 predator prey system.
    Modeling Scenario
    252

    views

    513

    downloads

    0

    comments

    1-091-InvestigatingSlopeFields-ModelingScenario
    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 the behavior of the solution curves.
    Modeling Scenario
    301

    views

    135

    downloads

    0

    comments

    1-118-SolowEconomicGrowth-ModelingScenario
    Students construct and analyze the celebrated Solow-Swan model of economic growth theory. The project is divided into three sequential parts to teach students to understand, develop, and analyze a simple nonlinear model of economic dynamics.
    Free Online Textbook
    143

    views

    67

    downloads

    0

    comments

    2015-H_Sayama-Intro to Modeling and Analysis of Complex Systems
    Introduces students to mathematical/computational modeling and analysis developed in the emerging interdisciplinary field of Complex Systems Science.
    Potential Scenario
    130

    views

    56

    downloads

    0

    comments

    2001-Tsoularis-Analysis of logistic growth models
    variety of growth curves have been developed to model both unpredated, intraspecific population dynamics and more general biological growth. We further review and compare several such models.
    Free Online Textbook
    163

    views

    58

    downloads

    0

    comments

    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.
    Potential Scenario
    205

    views

    57

    downloads

    0

    comments

    1986-Istvan_Gyori-Connections between compartment systems pipes and integro-differential equations
    In this paper we give the mathematical description of models in which the mass transport between compartments requires a given definite time or transit times are distributed according to given probability distribution functions.
    Modeling Scenario
    584

    views

    330

    downloads

    0

    comments

    6-020-AlgaePopulationSelf-Replenishment-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, in 1994. A
    Modeling Scenario
    275

    views

    135

    downloads

    0

    comments

    1-143-PopulationModelVariationsMATLAB-ModelingScenario
    Students will walk through a detailed derivation and review of basic population models (exponential and logistic) to create and understand variations of those models.
    Modeling Scenario
    415

    views

    517

    downloads

    0

    comments

    6-068-VisualizingPredator-PreyCycles
    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 offering three predator-prey models, each more complex...
    Modeling Scenario
    398

    views

    608

    downloads

    0

    comments

    1-076-ClimateBifurcation-ModelingScenario
    We cover simple zero and one dimensional models for the mean temperature of the Earth. These models can exhibit bifurcations.
    Modeling Scenario
    314

    views

    475

    downloads

    0

    comments

    1-065-AlgalBlooms-ModelingScenario
    This modeling scenario investigates the massive algal blooms that struck Lake Chapala, Mexico, starting in 1994.
    Modeling Scenario
    311

    views

    139

    downloads

    0

    comments

    1-104-InfectionRisk-ModelingScenario
    This project is designed to examine differences between the exponential and logistic growth models in biology and how to apply these models in solving epidemic questions.
    Modeling Scenario
    256

    views

    326

    downloads

    0

    comments

    3-072-EarthQuakePartI-ModelingScenario
    This modeling scenario considers a one-story building as a simple structure; the roof is modeled as a single point mass. Movement of the roof can be modeled similar to a mass-spring system.
    General Resource
    1053

    views

    142

    downloads

    0

    comments

    Instructor Solutions Second Edition SIMIODE Textbook HTML Version
    This is material we make available for instructors teaching a modeling-first approach to differential equations when using the Second Edition of SIMIODE Textbook, Differential Equations: A Toolbox for Modeling the Real World in HTML Version.
    Potential Scenario
    136

    views

    71

    downloads

    0

    comments

    2002-Fay-The Pendulum Equation
    We investigate the pendulum equation q’’(t) + l2 sin(q) = 0 and two approximations for it.