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    Potential Scenario
    132

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    53

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    1994-M_Yamaguti-Discrete Models in Social Sciences
    Also, a finite difference model in sociology is given as a chaotic phenomenon.
    economicschaossociologydiscretediscretization
    Potential Scenario
    130

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    46

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    1986-Cook-Witten-One-dimensional linear and logistic harvesting models
    Some of the results in the literature on simple one-dimensional, density dependent, discrete and continuous models-with and without harvesting-are reviewed.
    logisticcontinuouspopulationlineardiscreteharvestinbg
    Potential Scenario
    184

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    41

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    2022-Kalman-Improved Approaches Discrete Continuous Logistic Equation
    In the precalculus curriculum, logistic growth generally appears in either a discrete or continuous setting. These actually feature distinct versions of logistic growth, and textbooks rarely provide exposure to both.
    logisticcontinuousSpreadsheetPrecalculusdiscrete
    Modeling Scenario
    245

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    127

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    1-004-MicroorganismImmigration-ModelingScenario
    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.
    continuousimmigrationpopulationdeathdiscrete
    Potential Scenario
    139

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    76

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    2015-Beckmann-Sanchez-Cache Calculus-Modeling Caches through Differential Equations
    We present cache calculus, a technique that models cache behavior as a system of ordinary differential equations, letting standard calculus techniques find simple and accurate solutions of cache performance for common access patterns.
    discretecachecache calculus
    Potential Scenario
    131

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    39

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    2008-Yang-EtAl-Differential Equation Model of HIV Infection of CD T-Cells with Delay 
    Abstract: An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied. We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
    virusT cellsHopf bifurcationendemic equilibrium
    Article or Presentation
    241

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    59

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    2011-Brian_Winkel-Cross_coursing_in_mathematics-physical_modeling_in_differential_equations_crossing_to_discrete_dynamical_systems
    We give an example of cross coursing in which a subject or approach in one course in undergraduate mathematics is used in a completely different course.
    differential equationsmathematical modeldifference equationcross courseconvert
    Modeling Scenario
    454

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    298

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    1-006-Financing-ModelingScenario
    We describe two situations, one in which we are saving for a purpose and one in which we are borrowing for a purpose. In the first case we ask for discrete and continuous model of the situation and in the second case we ask that the results of...
    financesavingsloaninterest ratepayment
    Free Online Textbook
    141

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    66

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    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.
    textbooktext
    Modeling Scenario
    682

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    628

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    6-001-Epidemic-ModelingScenario
    This paper presents real-world data, a problem statement, and discussion of a common approach to modeling that data, including student responses. In particular, we provide time-series data on the number of boys bedridden due to an outbreak of...
    datadifference equationsparameter estimationcontinuousepidemicdiscreteboarding school
    Potential Scenario
    163

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    50

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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.
    biochemicalkineticsreactionreaction networkmass action
    Potential Scenario
    184

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    45

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    1991-Thoddi_Kotiah-Difference and differential equations in the mathematics of finance
    Many problems arising in the mathematics of finance involve identical money flows at regular time intervals and are typically solved by appropriate valuation at a focal date or by setting up an equation of value.
    financesavingsgrowth fundinterestmortgageannuitydepreciation
    Potential Scenario
    214

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    69

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    2019-Ekici_Plyley. Inquiry-Based_Modeling_of_Population_Dynamics_With_Logistic_Differential_and_Difference_Equations
    Inquiry-based learning activities on modeling and controlling the growth of locally relevant species, such as lionfish or sea turtles, are developed by the authors.
    population dynamicslogisticInquiry-based modelingIBL
    Modeling Scenario
    309

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    175

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    1-071-NewtonWatson-ModelingScenario
    Sherlock Holmes determines the time of death for a body found on a street in London and we need to reproduce his astute analysis
    temperaturedeathNewton's Law of Coolingtime of deathSherlock Holmes
    Modeling Scenario
    315

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    150

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    0

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    1-111-SpreadOfInformation-ModelingScenario
    Students perform experiments to model spread of information within a population. Students collect data, determine essential components and parameters and build a mathematical model culminating with a separable linear first order differential...
    datalogisticracismprejudicemisinformationmemesspreaddisinformationinformationliesGoogle Trendscoinspennies
    Potential Scenario
    163

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    74

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    2014-Michael_Monagan-The Mortgage Payment Problem Approximating a Discrete Process with a Differential Equation
    In this article and a subsequent article I will give two non-standard examples that I've found helpful. The one presented here is a first order linear system. Second order systems and non-linear systems.
    compartmentheatinghouse
    Article or Presentation
    187

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    83

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    1979-Brian_Winkel-Elementary_My_Dear_Watson_Differential_Equation
    Sherlock Homes explains to Doctor Watson how he solves a murdermystery using Newton's Law of Cooling.
    Newton's Law of CoolingSherlock Holmestime of detah
    General Resource
    200

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    46

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    2003-Knorrenschild-Gross-Text Books on Mathematical Modeling in Biology
    Text Books on Mathematical Modeling in Biology Compiled from the Internet by Michael Knorrenschild,
    biologyMathematical Biologytextbooktext
    Potential Scenario
    151

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    2015-Sebesyen-Farago-Invasive Species Model with Linear Rat Harvesting on Easter Island
    In this paper we suggest a natural modification of this model. Namely, we will investigate the case where the amount of the rats is decreased due to some external factor, e.g., exterminations by the people.
    carrying capacityharvestEaster Islandinvasie especiesratsRoughgarden theorem.
    Free Online Textbook
    210

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    2018-Eduardo-Sontag-Lecture_Notes_on_Mathematical_Systems_Biology
    I am often asked if it is OK to use these notes in courses at other universities. The answer is “of course!” though I strongly suggest that a link to my website be provided, so that students can always access the current version.
    biologytextbooksystemsdyanmical system