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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...

    Keywords: population dynamicspredator-preylogisticexponentialgraphical interpretationsqualitative analysis

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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

    169

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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.

    Keywords: plant physiologyhyperbolic equationsOpenStaxinterpreting modelsnastic movements

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    Spider Silk: Stress-Strain Curves and Young's Modulus
    This module introduces the stress-strain curve in the context of understanding materials' mechanical behavior. It is intended for an introductory biology audience.

    Keywords: structurestressbiomechanicsFunctionsstrainYoung's Modulusmechanical

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    Type I Functional Response
    This module introduces the type I functional response in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an...

    Keywords: ecologylinear equationsfood density

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    Understanding Trophic Interactions in Rice Agriculture: A Jigsaw Approach
    Students explore four different issues related to trophic interactions that affect modern rice agriculture practices and consider relationships between these issues.

    Keywords: jigsawfood chaintrophic cascadesfood web

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    Adaptation of Terrestrial Trophic Cascades & Population Structure to a Non-Major’s Ecology Course
    In this activity, students will use data from natural parks to examine trophic cascades.

    Keywords: case studyBiodiversityplantsResource Typetrophic cascadesnational parks

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    Wolf Sheep Predation Simulation Exercise
    This resource is an exercise to introduce students to agent-based modeling of biological systems through working with a simple existing model.

    Keywords: simulationecologyIntroductoryNetLogoagent-based modelingagent-based modelLabbioinformaticspredator-preyUndergraduateNIBLSEInstructional SettingAudience LevelActivity LengthLess than 1 hoursimulation cycleC1. Role of bioinformaticsC6. ModelsReviewed at NIBLSEagent based modleing

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    6-008-PursuitModels-Modeling Scenario
    Students are prompted to build systems of nonlinear differential equations to model pursuit-evader activities in which a pursuer attempts to follow, perhaps track down and come close to, an evader...
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    Defenses against predation: Interpreting graphs of predator behavior
    In this lesson, students discuss anti-predator defense mechanisms and the types of cues defenses provide to predators. Students then interpret graphs of behavior of arthropod predators when...

    Keywords: graph interpretationfmndata literacyinterspecific interactionsconsumptionBioGraphIrepresentation in STEMarthropodsaposematismphenotypic variationtortoise beetlecarton-nest antspraying mantisorb-weaving spider

    461

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    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.

    Keywords: simulationguerilla warfarewarfarecombat

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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

    350

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    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.

    Keywords: ecologyoptimizationpredator-preypopulationvector calculusLagrange multipliersleast squaresIslel Royale

    196

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    Snapshot Serengeti Online Lab
    Snapshot Serengeti is a fully online inquiry-based lab that uses real camera-trap data from Serengeti National Park in Tanzania to explore themes of tropical ecology and animal behavior.

    Keywords: ecologyspecies interactionscitizen scienceCommunity Ecologyanimal behaviormigration ecologyScience Communicationspecies distributionspredator-prey interactionsTropical ecologycamera trapsSerengetisavannah biome

    362

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    6-021-AcornsRodentsSnakes-ModelingScenario
    Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.

    Keywords: predationforestsnakesrodentsacornstrophic levelmasting

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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    Analyzing interesting images motivates mathematics and statistics learning
    Presentation by Jeremy Wojdak made as part of the "Bringing Research Data to the Ecology Classroom: Opportunities, Barriers, and Next Steps” Session at the Ecological Society of America annual...

    Keywords: Ecological Society of America

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    SNAPSHOT SERENGETI: Analyzing Wildlife Ecological Relationships in an upper-level Ecology course
    Two assignments were created to develop skills in ecological hypothesis testing, data analysis and interpretation using the Snapshot Serengeti and Gorongosa camera trap data and graphical...

    Keywords: hypothesis testinggraphical analysis and interpretationsavannah biomeecological relationshipscompare and contrast to primary literature

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    2016-I-Liang_Chern-Mathematical Modeling_and_Ordinary_Differential_Equations
    We let the author's Table of Contents speak for itself.

    Keywords: differential equationsmodelingtextbook

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    Squirreling Around for Science: Observing Sciurid Rodents to Investigate Animal Behavior
    Hands-on research experiences are important opportunities for students to learn about the nature of inquiry and gain confidence in solving problems. Here, we present an inquiry-based lesson plan...

    Keywords: foragingbehaviorbehavioral ecologySciuridSquirrelSquirrel-NetTrade-offVigilance

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