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    2018-Banerjee-EtAl-Prey-Predator Model with a Nonlocal Bistable Dynamics of Prey
    The primary goal of our present work is to consider nonlocal consumption of resources in a spatiotemporal prey-predator model with bistable reaction kinetics for prey growth in the absence of...

    Keywords: predator-preynonlocal consumptionTuring bifurcationspatial Hopf bifurcationspatio-temporal patternprey growth

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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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    Carbon Footprint: A Study of Unit and Dimensions
    In this module, we integrate the context of carbon emission and human consumption into an introductory lesson on units and estimation.

    Keywords: modulecarbon foot printResources @ DIMACSResources @ QUBES - Teaching & Referencescienceexperiment

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    Global Dietary Habits in Relation to Adult Obesity
    With global obesity rates continually increasing, an analysis of the relationship between dietary patterns and global obesity rates was performed with datasets representing sugar consumption,...

    Keywords: dietglobal healthObesity

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    Type II Functional Response: Holling’s Disk Equation
    This module introduces the Holling’s disk equation in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an introductory...

    Keywords: ecologyHolling's Disk Equation

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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

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    1-078-MonodGrowthModel-ModelingScenario
    Students model growth of bacteria E. coli in a limiting nutrient environment using data from a historical study.

    Keywords: bacterianutrient cyclesgrowthMonodconsumption

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    Cardiac Output
    This module introduces Fick's principle in the context of understanding the cardiac output. It is intended for an introductory biology audience.

    Keywords: linear regressionproportionslinear equationsOpenStaxAnimal Physiology

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    Investigating the footprint of climate change on phenology and ecological interactions in north-central North America
    The module was used in lab following lecture material on pairwise interactions in ecology (emphasizing consumption, competition, mutualism), and parallel to community ecology (emphasizing food web...

    Keywords: Resources @ ESA - TIEEclimate changephenologyspecies diversityproblem set

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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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    HSI - Student Research Journal - Vol.2 Issue 1 - Spring 2021
    The Headwaters Research Experience students have produced some fascinating research throughout our 10-week program. We encourage all to read their reports in our Vol. 2 - Issue 1 - Spring 2021...

    Keywords: scientific methodscience education

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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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    2016-Rob_deBoer-Population Dynamics  A Graphical Approach
    This book is an introduction into modeling population dynamics in ecology. Because there are several good textbooks on this subject, the book needs a novel ecological niche to justify its existence.

    Keywords: mathematical modelstabilitycompetitionSIRbifurcationconsumptionpopulation population dynamicsgeneral replicationnonlinear density dependenciesfunctional responsepersistencephase plan analysis

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    2019-Fan_ Li_ Yin- Impact_of_environmental_tax_on_green_development-nonlinear_dynamical_system_analysis
    This study analyzes the impact of environmental tax on green development by using a four-dimension dynamical system.

    Keywords: environmentsystemequilibrium pointmodel chaoseconomic growthnonlinear

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    Multiple choice quiz questions for biostatistics
    A set of 157 multiple choice quiz questions for biostatistics courses, organized and searchable by 18 concepts/skills.

    Keywords: quizbiostatistics - general

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    The Challenge of Food
    How will we feed the estimated 9 billion people that will be on the planet by 2050? How can food be distributed equally? We’ll hear about making more nutritious food via genetic engineering and...

    Keywords: videosScience ForwardfoodGMOs

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    2007-Mogen_Steffensen-Differential Equations in Finance and Life Insurance
    The mathematics of finance and the mathematics of life insurance were always intersecting. Life insurance contracts specify an exchange of streams of payments between the insurance company and the...

    Keywords: financedisabilitylife insurancemortalityinsuraneThiele’s equationBlack-Scholes equation

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    Using Grassy Narrows in a Live Classroom with Clicker Questions and Interactive Histogram: Sampling Distributions, Probability, and Hypothesis Testing
    Students are introduced to concepts of sampling distributions, p-values, and hypothesis testing. Using both simulated and real data for methylmercury level in fish populations, students will...

    Keywords: statisticsmathematicsbiostatisticsecologybiologygraphingp-valuest-testshypothesis testingin-class activityZoologymercury biogeochemistrybiostatistics - generalfish populationqbccBiogeochemical cyclesInterpret graphsConcepts in StatisticsElementary Hypothesis TestingMethylmercurydamsBioaccumulationtraditional dietsmercurymercury poisoningnative peopleindigenous populationCanadahydroelectricexplaining statisticsusing statisticsMake probability calculations

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    Bacteria to Brains in Backyard Coyotes: An Interdisciplinary Pedagogical Case Study
    Our interdisciplinary pedagogical case study explores the differences between rural and urban coyotes at the levels of organismal and community ecology. The focus is on how coyotes’ gut microbiomes...

    Keywords: Vision and Changeecologyintroductory biologyImmunologymicrobiologydietanimal behaviormicrobiomecore conceptscoyotesBraingut-brain axisImmunoReachcytokinedysbiosis

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    A rainforest with a gold chain? The impacts of gold mining on the trophic web of an Amazonian rainforest of SE Peru
    The use of mercury in artisanal gold mining affects aquatic and terrestrial food webs in the Peruvian Amazon. Learn about bioaccumulation, explore data on mercury deposition in vegetation and how...

    Keywords: conservation biologydeforestationhuman healthpollutionbiodiversity losstropical land use

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