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    6-016-PandemicModeling-ModelingScenario
    The recent coronavirus outbreak has infected millions of people worldwide and spread to over 200 countries. How can we use differential equations to study the spread of coronavirus?

    Keywords: population dynamicsinfectious diseasediseaseEbolaeSIR modelsCOVID19pandemicepidemicreproduction number

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    Predator-Prey Dynamics: the Lotka-Volterra Model
    This module introduces the Lotka-Volterra model in the context of understanding how predator and prey interact. It is intended for an introductory biology audience.

    Keywords: differential equationsecologypredatory-prey modelLotka-Volterrapredator-prey interactions

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    Population dynamics in simple two-species experimental microcosms
    A two-week exercise which includes homework calculations and teaching resources. Students establish brine shrimp and Platymonas algal cultures and predict final densities.

    Keywords: population dynamicsecologyspecies interactionsbotanyecosystemsfood chainpopulation regulation

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    Exploring the population dynamics of wintering bald eagles through long-term data
    This is an FMN participant modification of the TIEE module "Exploring the population dynamics of wintering bald eagles through long-term data" authored by Julie Beckstead, Alexandra N....

    Keywords: ecologyLabEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelAdvancedActivity LengthMore than 1 hour

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    2008-Chernyshov-EtAl-The Problem of Modelling of Economic Dynamics in Differential Form
    The authors have tried to analyze procedures of the construction of differential equations that are employed for modeling of macroeconomic processes. The results prove to be rather unexpected.

    Keywords: Fredholm integral equation ofLeontief’s modelmacroeconomic processes

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    2010-Kar-Chakraborty-Bioeconomic_modelling_of_a_prey_predator_system_using_differential_algebraic_equations
    We propose a biological economic model based on prey-predator dynamics where the prey species are continuously harvested and predation is considered with type II functional response.

    Keywords: economicsbifurcationharvestfisheryequilibriumdifferential algebraic equation

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    2016-Langtangen-Pedersen - Scaling of Differential Equations
    Nowadays, the greatest practical benefit of scaling is related to running numerical simulations, since scaling greatly simplifies the choice of values for the input data and makes the simulations...

    Keywords: scalingdimensionlesscontinuum mechanics

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    1-057-FiguringFluidFlow-ModelingScenario
    We propose three differential equations models for the height of a column of falling water as the water exits a small bore hole at the bottom of the cylinder and ask students to determine which...

    Keywords: dischargetankTorricelli's LawConservation of Energyfluid flowheightliquid

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    3-069-HeatInBar-ModelingScenario
    The temperature distribution along a uniform slender bar due to conduction and convection is investigated through experimental, analytical, and numerical approaches.

    Keywords: heat transferexperimentconductionconvectionboundary conditionsfinite volume method

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    Waking up Anna - Adaptations and Conversion to Mol*
    This case focuses on understanding the molecular basis of Anna's sleeping disorder and its treatment. The adaptations addressed question clarity and reformatting to use Mol*.

    Keywords: sleepmolecular visualization and analysisPDBMolecular Case StudyGABAMolCaseNetMol*MolStarProtein visualizationFlumazenil

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    Waking up Anna
    This case focuses on understanding the molecular basis of Anna's sleeping disorder and its treatment.

    Keywords: sleepmolecular visualization and analysisPDBMolecular Case StudyGABA

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    2018-Arden_Baxter-Modeling Public Opinion
    In this paper, we adapt the epidemiological models to model the dynamics of public opinion. Public opinion is any view prevalent among the general public. Our model considers any topic or issue in...

    Keywords: epidemiologypopulationpublic opinion

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    2011-Yanyu_Xiao-Study of Malaria Transmission Dynamics by Mathematical Models
    The novelty lies in the fact that different distribution functions are used to describe the variance of individual latencies. The theoretical results of this project indicate that latencies reduce...

    Keywords: infectious diseaseinfectionmalarialatencyspatial dispersalmulti-species

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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...

    Keywords: fishpredator-preylogisticpopulationdelaylag

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    Exploring the population dynamics of wintering bald eagles through long-term data
    pptx presentation & partially filled out student proposal worksheet

    Keywords: Resources @ ESA - TIEEcase studypopulation ecologyendangered speciesconservation biologymigration ecology

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    Bald Eagle Module Introductory Powerpoint and Lab Report Rubric
    Modification of "Exploring the population dynamics of wintering bald eagles through long-term data." This is a product of the 2016 Faculty Mentoring Network, Data Discovery

    Keywords: Resources @ ESA - TIEEassessmentpopulation ecologyendangered speciesconservation biologymigration ecologyPresentation

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    Populus: Simulations of Population Biology
    Link to Populus Software

    Keywords: simulationpopulation growthpopulus

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    2023-Roberto_Camassaa-Richard_McLaughlina-Tauberian identities and the connection to Wile E Coyote physics
    The application of the motion of a vertically suspended mass-spring system released under tension is studied focusing upon the delay timescale for the bottom mass as a function of the spring...

    Keywords: HangtimeTauberian IdentitiesRoad RunnerWile E. Coyote

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    2017-Biswasa-EtAl-Mathematical Modeling Applied to Sustainable Management of Marine Resources
    We study a nonlinear mathematical model of fishery management to understand dynamics of a fishery resource system in an aquatic environment that consists of two zones; one free fishing zone and...

    Keywords: natural resourcesmarine resourcesfishery model

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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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