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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.

    Keywords: Internetlogisticspreadrumors

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    1-040-OutcomeSavings-ModelingScenario
    We ask students to build a model for a savings account and to determine the monthly deposit in a savings account in order meet a long term savings goal.

    Keywords: Pop_Growth Pilotsavingsgrowthdepositg

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    6-067-LotkaVolterra-ModelingScenario
    This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...

    Keywords: time seriesdatacompetitionLotka-Volterramodel fittingpredictiongauseRexperimental

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    1-127-FishHarvesting-ModelingScenario
    We offer students a harvesting model for operating a fishery over a 25 year horizon and ask them to write a report on optimal harvesting policy with their analyses for fishing industry experts (not...

    Keywords: Management Of Dataoptimal controlfisherieslogisticharvestingmaximum sustainable yield

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    Big Data, Graphs, and Prediction
    In this activity, students are introduced to graphing and modeling data in a step-wise fashion. Real data of covid-19 deaths over time are used to incrementally ask students to fit the data to...

    Keywords: epidemiologygraphingLogarithmsexponential growthqbcccovidChoosing modelsCreate graphsInterpret graphsConcepts in Statistics

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    Microbiomes forAll: The Research Experiences in Microbiomes Network
    Poster on REMNet presented at the 2020 BIOME Institute: Cultivating Scientific Curiosity

    Keywords: undergraduate researchcourse-based undergraduate research experiencemicrobiomesmicrobiomeCUREREMNet

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    Chi-squared test of independence between two categorical variables
    In this lesson, students will have the opportunity to work through a chi-squared test of independence between two categorical variables.
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    Measuring the Health of the Earth Using the Theory of Island Biography
    This module uses a variety of available datasets to explore methods of calculating biodiversity and measuring landscape as well as the relationship between those.

    Keywords: moduleEvolutionecologycollege algebraearth scienceOceanographygeophysicalResources @ DIMACSResources @ QUBES - Teaching & Reference

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    The Insect Predation Game: Evolving Prey Defenses and Predator Responses
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4

    Keywords: simulationpredator-preypredation ecology

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    The Insect Predation Game: Evolving Prey Defenses and Predator Responses
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4

    Keywords: simulationpredator-preypredation ecology

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    The Insect Predation Game: Evolving Prey Defenses and Predator Responses
    Laboratory experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 4

    Keywords: simulationpredator-preypredation ecology

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    Using Comics to Make Science Come Alive
    Students often see science as a fragmented set of facts to be memorized, rather than concepts and processes that are relevant in their everyday lives. This is especially true for non-science...

    Keywords: role of science in society

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    Cold blood and wet skin in hot and dry secondary forests. How do amphibian traits determine persistence in secondary forests?
    Students will synthesize information from biological and physiological traits of amphibians and characteristics of secondary forests in the tropics to form hypotheses about persistence of...

    Keywords: life historyconservation biologyphysiological ecologyamphibianland use changeEctothermsecondary foresttrait-based ecology

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    2017-Agmour-EtAl-Optimization of the Two Fishermen's Profits Exploiting Three Competing Species Where Prices Depend on Harvest
    The main purpose of this work is to define the fishing effort that maximizes the profit of each fisherman, but all of them have to respect two constraints: the first one is the sustainable...

    Keywords: FishingharvestNash equilibriumoptimizeprofits

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    2017-Adolfo_Rumbos-Differential Equations and modeling
    The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...

    Keywords: pendulumLotka Volterra equationsexistenceuniqueness

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    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

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    2015-Boggess-EtAl-Mathematical Modeling in Ecology - Simulating the Reintroduction of the Extinct Passenger Pigeon
    To determine under which conditions a Passenger Pigeon could survive a reintroduction into a natural habitat, we used two types of models.

    Keywords: simulationagent-based modelingallee_effectPassenger Pigeonsforest envirnomentHolling Type III functional responseBio-energeticstree distributions

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    2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
    The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.

    Keywords: fisheriesEuler's methodnonlinearlogistic harvestingcanabalismsalmon

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    2018-Robert_Phair-Differential_equation_methods_for_simulation_of_GFP_kinetics_in_non–steady_state_experiments
    Here, we derive new tracer kinetic analytical methods for non–steady state biological systems by constructing mechanistic nonlinear differential equation models of the underlying cell biological...

    Keywords: protein quality controlkineticsCellssteady statechemical kineticsfluouresencephotoactivationinytracellular

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    1-009-Bifurcation-TechniqueNarrative
    We lead students to investigate first-order differential equations that contain unknown parameters. Students discover what happens to the qualitative behavior of solutions to these equations as...

    Keywords: bifurcationqualitative behaviorbifurcation diagram

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