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    5-026-Evictions-ModelingScenario
    In this project, students develop two SIS models to study eviction trends in a population of non-homeowner households using an actual eviction rate. Students can calculate solutions, sketch the...

    Keywords: carrying capacitycompartmentevictionhomeownerSIS modelhomelessness

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    2014-Jeffrey_Chasnov-Lecture_Notes_on_Introduction_to_Differential_Equations
    The differential equations text is 128 pages and develops and motivates the theory of the material nicely, with links to YouTube lectures to assist.

    Keywords: differential equationsbiologytextbook

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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...

    Keywords: diseasecovidoutbreakWuhancoronoavirus

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    1-137-SheepGraze-ModelingScenario
    In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas...

    Keywords: herbivoreplantphase linesbifurcationoverexploitationsheepgraze

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    6-011-HumansVsZombies-ModelingScenario
    Students analyze the SIR differential equations model in the context of a zombie invasion of a human population. Students analyze a two equation system representing only two populations, humans...

    Keywords: zombiesinfectionSIR models

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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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    2006-Juska-Gedminiene-Ivanec-Growth of Microbial Populations-Mathematical Modeling-Laboratory Exercises-Model-Based Data Analysis
    The aim is to teach the students to use a fresh approach to the problems they are familiar with, to come up with an articulate verbal model after a mental effort, to express it in rigorous...

    Keywords: population growth ratelogistic equationVerhulst equationgeneration timelag time

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    1-001-MM-DeathAndImmigration-ModelingScenario
    We conduct a simulation of death and immigration, using a small set of "individuals", m&m candies or any two sided object (coin, chips), in which upon tossing a set of individuals we cause some to...

    Keywords: simulationimmigrationdeathSpanishdatsWinkelBrian Winkel

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    5-015-RunnersSynchronize-ModelingScenario
    In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying...

    Keywords: predatorAutonomous equationsoscillationcoupled oscillatorsynchronyrunnerpreyKuramato model

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    2011-Teleken-EtAl-Mathematical modeling of microbial growth in milk
    A mathematical model to predict microbial growth in milk was developed and analyzed. The model consists of a system of two differential equations of first order. The equations are based on physical...

    Keywords: bacteriadairymilkfood safetymicrobilogy

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    1-019-RocksInTheHead-Modeling Scenario
    We describe an experiment with data on the perception of the individual mass of a collection of rocks in comparison to a 100 g brass mass. Students use the logistic differential equation as a...

    Keywords: logistic growthparameter estimationexperiment

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    2008-Jai-Li-Differential equations models for interacting wild and transgenic mosquito populations
    We formulate and study continuous-time models, based on systems of ordinary differential equations, for interacting wild and transgenic mosquito populations.

    Keywords: Mosquito borne diseasespopulationsHolling-II-type mating ratestransgenic mosquitoesnonhyperbolic equilibriummosquitoes

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    RAT ATTACK! Population growth
    This module contains exercises focused on the use and interpretation of density independent and density dependent population growth models. Students build logistic and exponential growth models in...

    Keywords: modelingecologyExcelintroductory biologygraphingQuantitative reasoningdata visualizationinterdisciplinaryexponential growthlogistic growthdata managementInterpreting Graphspopulation modelingNIQBC2. Data and GraphsC4. mathematical modelsnonlinear models

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    An active-learning lesson that targets student understanding of population growth in ecology
    Effective teaching and learning of population ecology requires integration of quantitative literacy skills. To facilitate student learning in population ecology and provide students with the...

    Keywords: population growthexponential growthlogistic growthpopulation ecologygrowth rateDensityAbundancecarrying capacitylinear growth

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    How Many Squirrels Are in the Shrubs? A Lesson Plan for Comparing Methods for Population Estimation
    Estimating the population sizes of animals is a key skill for any student interested in ecology, conservation, or management. However, counting animals in natural habitats is difficult, and the...

    Keywords: population ecologywildlife managementpopulation estimationsciuridaeSquirrel-Net

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    An Introduction to agent-based modeling.
    Introductory level textbook based on a collection of lecture notes from an undergraduate course on agent-based modeling at Arizona State University.

    Keywords: textbookcurriculumNetLogoagent-based modelingIndividual & Agent Based Modelingcourseundergraduate educationResources @ QUBES - Teaching & Reference

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    2008-Huet-Deffuant-Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects
    We study a model of primacy effect on individual's attitude. Typically, when receiving a strong negative feature first, the individual keeps a negative attitude whatever the number of moderate...

    Keywords: agent-based modelprimacy effectinformation filteringaggregated modelcollectiveinteractionsdouble-modelling

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    2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
    We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the...

    Keywords: stabilityresistancevirusdrugepidemic competitionimmune responserhinovirus

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    2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
    This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models...

    Keywords: age structurerumorspersistenceUrban Legends

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