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    Potential Scenario
    161

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    1972-R_C_Rothermel-A Mathematical Model for Predicting Fire Spread in Wildland Fuels
    The development of a mathematical model for predicting rate of fire spread and intensity applicable to a wide range of wildland fuels is presented from the conceptual stage through evaluation and demonstration of results to hypothetical fuel models.
    predictionforest firefire managementfire spreadfuel
    Potential Scenario
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    2001-Smith-Moore-The SIR Model for Spread of Disease
    A multiple part tour of SIR Models freely available with Maple, Mathematics, and MatLab support files at MAA site.
    epidemicSIR modelEuler's methodherd immunityHong Kong flu
    Potential Scenario
    139

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    44

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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance traveled by the projectile?”
    optimizationprojectile motionlaunch angle
    Potential Scenario
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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
    infectious diseasebibliographyepidemiccowpoxsmallpoxcomplex networksspread disease
    Modeling Scenario
    298

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    272

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    1-098-NeuronDetection-ModelingScenario
    Students study a linear, first order, one-dimensional ordinary differential equation (ODE) and learn how it can help understand basics of neural dynamics. The modeling framework is known in mathematical neuroscience as ``integrate-and-fire''...
    biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit
    Potential Scenario
    127

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    49

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    2012-Arvind_Kumar_Misra-A simple mathematical model for the spread of two political parties
    In this paper, a non-linear mathematical model for the spread of two political parties has been proposed and analyzed by using epidemiological approach.
    epidemiccompartmentpolitical parties
    Potential Scenario
    135

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    47

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    2008-Abramson-Mathematical modeling of the spread of infectious diseases
    These are informal notes, mostly based on the bibliography listed at the end and on recent papers in the field. The practical use of these models is based on the fact that they can be kept realistic enough.
    infectious diseaseepidemiccowpoxsmallpoxcomplex networks
    Article or Presentation
    299

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    940

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    2020-TeachingModule-SpreadOfCommonColdSimulation
    This simulation is meant to introduce the idea of a differential equation model and investigate the impact of heightened hygiene and decreased interactions on the spread of an infectious disease. The focus of this simulation is on the common cold.
    simulationmoduleinfectious diseasediseasespreadTeaching Modulespread of disease
    Modeling Scenario
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    129

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    6-009-FakeNews-ModelingScenario
    In modern society, creating and disseminating information is easier than ever. In this project, you will model the spread of fake news and investigate ways to deter distributing misinformation.
    sensitivity analysisSIR modelsSIS modelfake news
    Potential Scenario
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    2018-Joseph-EtAl-A Nonlinear differential equation model of Asthma effect of environmental pollution using LHAM
    In this paper, we investigated a nonlinear differential equation mathematical model to study the spread of asthma in the environmental pollutants from industry and mainly from tobacco smoke from smokers in different type of population.
    asthmatobacco smokeLiao’s Homotopy analysis Method (environmental pollutants
    Potential Scenario
    149

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    45

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    2010-Singh-Mishra-athematical modeling approach to study growth rate of grassroots technological innovations
    In this paper we have proposed a simple mathematical model by using ordinary differential equation to know the spread rate of technological innovations in rural India.
    logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation
    Potential Scenario
    143

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    70

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    2010-Del-Ciello-EtAl-Modeling Disease
    We model the transmission of a disease through a population. Such modeling is very important to the study of epidemiology and the practice of medicine.
    diseasespreadcarriessymptomaticasymptomatic
    Potential Scenario
    147

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    44

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    2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
    In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.
    vaccinationcompartmentherd immunitymeaslesoptimal strategy
    Potential Scenario
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    1999-Richard_Single-Different quotients-derivatives-and data through modeling with slime
    In this article, I present an experiment that can be conducted in a calculus class to investigate the difference quotient and the derivative, using mathematical modeling with student-collected data.
    data analysisslimedifference quotientspread of slime
    Potential Scenario
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    2014-Bozkurt-Peker-Mathematical modelling of HIV epidemic and stability analysis
    A nonlinear mathematical model of differential equations with piecewise constant arguments is proposed. This model is analyzed by using the theory of both differential and difference equations to show the spread of HIV in a homogeneous population.
    diseaselogisticHIVpiecewise constantIndia
    Potential Scenario
    198

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    60

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    2020-Ciaroshi-How_COVID-19_Spreads_MathModels
    On December 31, 2019, the Chinese city of Wuhan reported an outbreak of a novel coronavirus (COVID-19) that has since killed over 4,200 people. As of March 11, 2020, over 118,000 infections—have been confirmed by the World Health Organization.
    diseasecovidoutbreakWuhancoronoavirus
    Modeling Scenario
    355

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    251

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    1-023-RumorSpread-ModelingScenario
    We use a newspaper report on the spread of a rumor based on shares of articles on the Internet over a 5 day period to demonstrate the value of modeling with the logistic differential equation.
    Internetlogisticspreadrumors
    Modeling Scenario
    263

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    1-084-GoingViral-ModelingScenario
    Students employ randomization in order to create a simulation of the spread of a viral disease in a population (the classroom). Students then use qualitative analysis of the expected behavior of the virus to devise a logistic differential equation.
    simulationlogisticrandomfittingpartial fractions
    Modeling Scenario
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    4-039-FallingDarts-ModelingScenario
    we develop, solve, and analyze a second order differential equation model for free fall incorporating air resistance. Students solve the model using two methods -- reduction of order and separation of variables, and method of undetermined...
    optimizationresistanceterminal velocitymuzzle velocitydrag coefficientfree fallair drag
    Modeling Scenario
    205

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    213

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    3-095-ShotInWater-ModelingScenario
    This project uses Newton's Second Law of Motion in conjunction with a quadratic model for the resistance experienced by a bullet moving through water to analyze a classic action movie scene.
    projectile motionterminal velocityprojectilewater resistancereduction of orderfrictionair resistance