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    2016-Banks-EtAl-Modeling Bumble Bee Population Dynamics with Delay Differential Equations
    To provide a tool for projecting and testing sensitivity of growth of populations under contrasting and combined pressures, we propose a delay differential equation model that describes...

    Keywords: population modelReproductionspline approximationsBombus terrestrisneonicotinoidsbumble bee

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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: ecologyIntroductoryEcological Society of AmericafmnLectureUndergraduateData DiscoveryInstructional SettingAudience LevelActivity LengthMore than 1 hour

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    2009-Marten-EtAl-Derivation and analysis of an ordinary differential equation for epilepsy dynamics
    In this paper we describe how an ordinary differential equation model of corticothalamic interactions may be obtained from a more general system of delay differential equations.

    Keywords: delayepilepsy dynamicsepilepsybistabilityseizure activity

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    2014-Andre_De Ross-Modeling Population Dynamics
    This course is intended as an introduction to the formulation, analysis and application of mathematical models that describe the dynamics of biological populations.

    Keywords: predator-preycompetitionpopulationgrowthbifrucationtext

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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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    2011-Therese-Keane-Combat modelling with partial differential equations
    We present work seeking to more realistically represent troop dynamics and to enable a deeper understanding of the nature of conflict.

    Keywords: Lanchester modeltroop dynamicsswarming behaviortroop regroupinglossesnon-local termslocal terms

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    2007-I-Liang_Chern-Mathematical Modeling and Differential Equations
    In this course, I will mainly focus on, but not limited to, two important classes of mathematical models by ordinary differential equations: • population dynamics in biology • dynamics in...

    Keywords: population dynamicsecologydynamicsclassical mechanicschemical reaction

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    How Do Certain Factors Impact People's Actions Toward Climate Change?
    A survey was conducted to research how age and knowledge about climate change can impact people’s actions regarding it. People have a large impact on the environment so knowing how different groups...

    Keywords: climate change

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    2001-Edwards-Buckmire-A differential equation model of North American cinematic box-office dynamics
    A new mathematical model is presented for the box-office dynamics of a motion picture released in North America.

    Keywords: cinemamoviesbox-office

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    Investigating human impacts on local Hawaiian stream ecology
    Students learn about stream ecology on the island of Hawaii using data available through USGS and University of Hawaii websites and develop an understanding for potential stream changes due to...

    Keywords: climateStream ecologyHawaii CountyTopographyMap ReadingRainfall

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    Exploring the population dynamics of wintering bald eagles through a population model
    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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    2014-John_Cain-Chemical Reaction Kinetics Mathematical Underpinnings
    The usual way of deriving kinetic equations involves application of the principle of conservation of mass in conjunction with the law of mass action. Here, examples of kinetic models for several...

    Keywords: kineticsbiochemical reactionreactantsproducts

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    2008-Huangi-Lu-Modeling long-term longitudinal HIV dynamics with applications to an AIDS clinical study 
    To better understand the factors responsible for the virological failure, this paper develops the mechanism-based nonlinear differential equation models for characterizing long-term viral dynamics...

    Keywords: longitudinal dataAIDSantiretroviral drug therapyBayesian nonlinear mixed-effectstime-varying drug efficacyHIV dynamics

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    1-135-FishHarvesting-ModelingScenario
    This short activity will walk students through a guided list of questions to help them to understand how the stability of equilibrium changes with changes in a model parameter, in this case the...

    Keywords: population dynamicsfishstabilitybifurcationharvest

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    2006-Loyd-Wodarz-Drug Resistance in Acute Viral Infections-Rhinovirus as a Case Study
    We develop an epidemiological model that can be used to address the spread of resistance at the population level, and a virus dynamics model that can be used to study the dynamics of virus over the...

    Keywords: stabilityresistancevirusdrugepidemic competitionimmune responserhinovirus

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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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    2016-Manheim-EtAl-Improving Decision Support for Infectious Disease Prevention and Control
    This report describes decision-support tools, including models and nonmodeling approaches, that are relevant to infectious disease prevention, detection, and response and aligns these tools with...

    Keywords: infectious diseaseecosystemepidemicmodel policy

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    6-017-OncolyticViruses-ModelingScenario
    Students explore oncolytic virotherapy using systems of differential equations and numerical simulations.

    Keywords: cancercancer-immune dynamicsimmune suppressor drugoncolytic virusvirotherapy

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    2014-Murillo-EtAl-Vertical Transmission in a Two-Strain Model of Dengue Fever
    The model is used to show that lower transmission rates of DENV-2 Asian are sufficient for displacing DENV-2 American in the presence of vertical transmission.

    Keywords: Peruvector-host modeldengueepidemmiologyvertical transmission

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    Cookbook for R
    The goal of the cookbook is to provide solutions to common tasks and problems in analyzing data.

    Keywords: Rdata analysisdata manipulationdata

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