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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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    2007-Choisy-Guégan-Rohani-Mathematical Modeling of Infectious Diseases Dynamics
    After presenting general notions of mathematical modeling (Section 22.2) and the nature of epidemiological data available to the modeler (Section 22.3), we detail the very basic SIR epidemiological...

    Keywords: stochasticSIR modeldeterministicincubationinfectives

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    2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
    We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.

    Keywords: population dynamicsLotka-Volterragrowth ratemutualismLichen

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    2003-Yildirim-Mackey-Feedback Regulation in the Lactose Operon
    A mathematical model for the regulation of induction in the lac operon in Escherichia coli is presented.

    Keywords: mRNAlactoselactose operonfeedback regulation

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    2000-Armson-Cockroft-Stone-Modelling a barnacle goose population
    This paper explores a number of models for the growth of a barnacle goose population. These geese spend their summers breeding in Spitsbergen and then winter in Caerlaverock on the Solway Firth....

    Keywords: population dynamicsexponentiallogistic equationBarnacle Geese

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    2018-Van_Kinh Nguyen-Esteban_Hernandez-Vargas-Parameter estimation in mathematical models of viral infections using R
    Mathematical modeling has played a central role to understand mechanisms in different viral infectious diseases. In this approach, biological-based hypotheses are expressed via mathematical...

    Keywords: simulationdiseasevirusviral infection

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    Identifying Groundwater Discharge Dynamics into Stream Habitat Assessments
    Groundwater contributions are overlooked in many habitat assessments, even though their ecological and water quality importance to streams has been broadly recognized. This lab encourages students...

    Keywords: landscape ecologyriver systemsRiver Field Studies NetworkGroundwater - Surface Water Exchangegroundwater seepsstream temperature

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    1-097-SwimmingPool-ModelingScenario
    This project involves the dynamics of chlorine concentration during regular swimming pool maintenance cycles. Students will have the opportunity to use both analytic and numerical methods.

    Keywords: concentrationcchlorinenumerical errorswimming poolhorineerreor

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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 ...

    Keywords: biologyneuroscienceneuron physiologyvoltageintegrate and firethrefholscoincidence detectionRC circuit

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    3-004-VanderPol-ModelingScenario
    This paper presents an electronic spreadsheet model of the Van der Pol oscillator, a well-known nonlinear second-order ordinary differential equation.

    Keywords: phase planeVan der Pol oscillatorlimit cycleRunge-Kutta methodLienard equation

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    6-065-InternetPlatformUsers-ModelingScenario
    A model estimating the volume of users interacting through a two-sided Internet platform (allowing interaction of two types of users) will teach students how to analyze a 2-dimensional dynamical...

    Keywords: dynamicsflowconservedfixed pointscycletinternet platformdiverghenceJacobianattractingrepellingnodesstablesaddlespiral

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    4-055-ShatterWineGlass-ModelingScenario
    This module takes students through real life scenarios to examine resonance and its destructive power using differential equation models. What is resonance? How does it happen? Why is it important?

    Keywords: frequencydampingamplituderesonanceoscillationshatteringwine glassbridgesaircraftexternal force

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    3-105-FrequencyResponse-ModelingScenario
    We describe the frequency response to a second order differential equation with a driving function as the maximum steady state solution amplitude and perform some analyses in this regard.

    Keywords: transient dynamicscircuitspring massdriverfrequency responseamplitudesteady state

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    3-099-PullBack-ModelingScenario
    We guide students through the development of an empirical model for the velocity and distance traveled of a simple pull-back toy. Students can record videos and extract data using their own...

    Keywords: dynamicspull-back toy

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    Ingestion of Microplastics by Coral
    QUBES lesson on ingestion of microplastics by coral. Lesson will give environmental background and then use R for hands-on statistical analyses, followed by critical thinking questions.

    Keywords: statisticsRenvironmentmicroplastic pollutioncoralwilcoxon

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    Exploring global reef health and human population using correlation and simple linear regression
    In this lesson, students will explore the relationship between reef cover and human disturbance. Students will manipulate a large dataset and perform normality tests, data transformations,...

    Keywords: population dynamicshumanlinear regressionconservationcorrelationRestorationcoral reefs

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    Demography from "virtual cemeteries"
    This module is a modification of the Lanza module in TIEE Volume 8. Rather than requiring students to visit cemeteries outside of class, this modification has students collect data from online...

    Keywords: ecologyResources @ ESA - TIEEdemographysurvivorshiplife tables

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    Data from: Advancing population ecology with integral projection models: a practical guide
    Review important resources for building IPMs and provide a comprehensive guide, with extensive R code, for their construction.

    Keywords: IPMintegral projection modelsdemographyelasticitylife historymatrix projection modelpopulation growth ratepopulation projection modelsensitivitystage structurevital ratesResources @ DryadResources @ QUBES - Data

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    Advancing population ecology with integral projection models: a practical guide
    Integral projection models (IPMs) use information on how an individual's state influences its vital rates – survival, growth and reproduction – to make population projections using regression...

    Keywords: IPMintegral projection modelspopulation growthreviewsdemographyelasticitylife historymatrix projection modelpopulation growth ratesensitivitystage structurevital ratesregressionResources @ QUBES - Teaching & Referencecovariatesanalytics

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    Freezer Full of Fossils v2.0
    The Long Term Evolution Experiment started by Dr. Richard Lenski provides a rich dataset to help students explore concepts of fitness, replication, and adaption.

    Keywords: graphingfitnessadaptationcompetitionSpreadsheet

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