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    2011-Yuan-EtAl-Real life applications of ODEs for Undergraduates
    This study introduces real-life mathematical theories and models of international relationships suitable for undergraduate ordinary differential equations, by investigating contradicts between...

    Keywords: arms raceRichardson modelBattle of Curupaytíinternational relationships

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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.

    Keywords: logisticexponentialsigmoidtechnological innovationsasymptoticspread of innovation

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    2011-Therese-Keane-Combat modelling with partial differential equations
    We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.

    Keywords: Lanchester modeltroop dynamicsswarming behaviortroop regroupinglossesnon-local termslocal terms

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    2005-JC_Sprott-Dynamical Models of Happiness
    A sequence of models for the time evolution of one’s happiness in response to external events is described.

    Keywords: happinessoscillation

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    2004-Charalampos_Toumasis-A mathematical diet model
    This article describes an application of simple differential equations in the field of dietetics as it may be presented to a calculus class or a high school mathematics club.

    Keywords: dietdietetics

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    2000-Dwayne-Anderson-Estimates of the future membership of the Church of Jesus Christ of Latter-Day Saints
    Thus, the purpose of this paper is to model the membership of the Church of the Latter Day Saints from the available data on membership from 1844 to 2000.

    Keywords: population dynamicslogisticLatter-Day Saints

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    1994-S_S_Everingham-C_Peter_Rydell-Modeling the Demand for Cocaine
    This is a report prepared for the Office of National Drug Control Policy of the United States Army by the Rand Corporation. The report contains lots of data and builds a two compartment difference...

    Keywords: drugstwo compartmentcocainedemand

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    1989-Protopopescu-Santoro-Dockery-Combat modeling with partial differential equations
    We propose an extension of the classical modeling of combat via Lanchester equations to include one-dimensional spatial effects.

    Keywords: combatLanchester

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    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...

    Keywords: combat modelguerrilla warfaregovernment

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    1990-Winkel_Brian-First-year_calculus_students_as_in-class_consultants
    We demonstrate how we use traditional text book calculus problems to involve first year calculus students as consultants. Students are asked to solve a “real world” problem after interviewing a...

    Keywords: optimizationcalculusConsultantprinterclient

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    2012-R_B_Ogunrinde-J_Sunday-On_some_models_based_on_second_order_differential_equations
    This paper presents some models based on second order differential equations. This is a very straightforward article with good explanations of modeling assumptions.

    Keywords: combatcombat modelspecies interaction

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    2019-Fred_Brauer-The_Final_Size_of_a_Serious_Epidemic
    In an epidemic of a serious disease, there is likely to be behavioral response that decreases the epidemic size considerably.

    Keywords: epidemicfinal sizebehavioral responseSIER modelrelations

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    2019_Isaac_Eshakoff-Differential_Equations_of_Love_and_Love_of_Differential_Equations
    In this paper, simple ordinary differential equations are discussed against the background of William Shakespeare’s Romeo and Juliet.

    Keywords: mathematical modelsystemmechanicalRomeo and Julietlovelove-hatejealousyShakespeare

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    1-087-ThanosPopulationDynamics-ModelingScenario
    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...

    Keywords: logisticexponentialpopulationThanos

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    1-066-USCensusModeling-ModelingScenario
    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.

    Keywords: datalogisticpopulationGompertzcensusgoodness of fit

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    1-067-ModelingWithSigmoidCurves-ModelingScenario
    The assignment considers two well-known models of population growth, Verhulst-Pearl and Gompertz models, for which qualitative and quantitative analyses are provided. The graphs of the...

    Keywords: logisticGompertzsigmoidVerhulst-Pearl

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    1-089-SpreadOfDisease-ModelingScenario
    In this project I want to use the algebra based concept “difference quotient” to solve differential equations models with the help of Excel. That means even students with only a College Algebra...

    Keywords: SIR modelProportionderivativedifference quotientSleeping Beautycontagious disease

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    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...

    Keywords: optimizationeconomicssteady stategrowthSolow-Swan modelcapitalproductionlaborGolden Rule of Economic Growth

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    1-122-SpreadPEV-ModelingScenario
    We present data on world sales data of plug-in electric vehicles (PEVs) and request a model on the rate of change in sales over time, leading to prediction as to number of PEVs in the future.

    Keywords: datalogisticpredictionspreadplug-in vehiclePEV

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    1-124-WorldPopulation-ModelingScenario
    We build models of world population using data to estimate growth rate.

    Keywords: population dynamicshumangrowth ratevarying growth rate

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