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    1-060-RegularPerturbation-TechniqueNarrative
    This paper presents an introduction to a set of analytical approximations referred to as regular perturbation. This is a particular mathematical tool within the broader set of perturbation...

    Keywords: perturbationregular perturbationasymptotic expansionsanalytical approximationBernoulli equation

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    2018-Akman-EtAl-Parameter Estimation in Ordinary Differential Equations Modeling via Particle Swarm Optimization
    We demonstrate Particle Swarm Optimization efficacy by showing that it outstrips evolutionary computing methods previously used to analyze an epidemic model.

    Keywords: epidemicParticle Swarm Optimizationoptimize parameters

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    2016-Pennell-Avitabile-White-Engineering Applications Differential Equations
    General discussion of an engineering based differential equations course with examples from RC Circuit, mass spring dashpot.

    Keywords: circuitvoltagecapacitornondimensionalization

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    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = (t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: Trigonometric Functionscirclesquigonometryinverse functiontrigonmetry

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    2015-Carl_Lutzer-Using Expected Value to Introduce the Laplace Transform
    We propose an introduction to the Laplace transform in which Riemann sums are used to approximate the expected net change in a function, assuming that it quantifies a process that can terminate at...

    Keywords: Expected ValueRiemann sumnet change

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    2013-Murray_Bourne-Modeling fish stocks
    It is possible to have a sustainable fishing industry with proper planning and strictly enforced quotas.

    Keywords: logisticFishingfishing industryfish managementfood availabilityreeding ratewater temperature

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    2011-W_Wood-Squigonometry
    The differential equations used to define a unit circle, namely x’(t) = - y(t), y’(t) = x(t), x(0) = 1, y(0) = 0 are generalized to produce interesting functions which...

    Keywords: TrigonometryTrigonometric Functionsparametric equationscirclesinecosinesquigonometryinverse function

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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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    2006-TK_Kar-Controllability and optimal harvesting of a prey–predator model incorporating a prey refuge
    This paper deals with a prey–predator model incorporating a prey refuge and harvesting of the predator species.

    Keywords: survivalpredator-preyharvestrefugePontryagin’s maximal principlehidingoptimal harvest

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    1994-M_Yamaguti-Discrete Models in Social Sciences
    Also, a finite difference model in sociology is given as a chaotic phenomenon.

    Keywords: economicschaossociologydiscretediscretization

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    1988-Michael Intriligator-Dagobert Brito-A Predator-Prey Model of Guerrilla Warfare
    The authors present a three variable: numbers of guerrillas, numbers of regular (government) soldiers, and size of population controlled by the guerrillas, at time t), nonlinear system of three...

    Keywords: combat modelguerrilla warfaregovernment

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    2011-Brian_Winkel-Parameter_Estimates_in_Differential_Equation_Models_for_Population_Growth
    We estimate the parameters present in several differential equation models of population growth, specifically single species exponential and logistic growth, and multiple species competition and...

    Keywords: population modelparameter estimationpopulationparameter

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    2013-Brian_Winkel-An_Optimal_Control_Model_in_Insect_Colonies
    we find and develop background material on an application of optimal control theory to model the evolutionary strategy of an insect colony to produce the maximum number of queen or reproducer...

    Keywords: insect colonyoptimal controlparameter

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    2018-Yu-Craciun-Mathematical_Analysis_of_Chemical_Reaction_Systems
    These models of chemical reactions are systems of coupled nonlinear differential equations on the positive orthant.

    Keywords: biochemicalkineticsreactionreaction networkmass action

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    1957-Axelrod_ Brady_Witkop_Evarts-The Distribution and Metabolism of Lysergic Acid Diethylamide
    The development of a specific and sensitive method for the estimation of LSD in biological materials has enabled us to study the tissue distribution, excretion, rate of biotransformation, and...

    Keywords: mathematical modeldataLSDMetabolismbloodstreamlysergic acid diethylamidedistribution

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    7-040-TankInterruptMixing-ModelingScenario
    We present a first order differential equation model for the interrupted mixing of a tank with salt water. We offer two solution strategies (1) two step approach and (2) Laplace Transforms.

    Keywords: Laplace transforminverse Laplace Transformsalttankmixinginterrupt

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    1-016-DogDrugs-ModelingScenario
    We offer a problem to determine the necessary drug administration in order to keep a dog sedated with specific information on half-life for an exponentially decaying presence of the drug in the body.

    Keywords: wild_dogsdrug discoveryhalf-lifepentobarbital sodiumanesthesia

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    Topics in Restoration Ecology: Restoring the Red Wolf in North Carolina
    The planet’s most endangered wolf is the red wolf, with only one wild population, a nonessential experimental group established in eastern North Carolina, of 15-17 individuals in existence as of...

    Keywords: ecologyRestoration Ecology

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    Ecology/Environmental Biology Molecular Case Studies for Molecular CaseNet - YouTube
    Biome Institute 2021, Fall Working Group Summary Video

    Keywords: climate changebiofilmcoffeecoral bleachingMolecular structuremolecular visualizationMolecular Case Studycholera

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    2019 EDSIN Conference Proceedings
    Bringing Conversations on Diversity and Inclusion in Data Science to the Ecological and Environmental Sciences, was a 3-day conference hosted at the UCAR's Center Green in Boulder, Colorado, April...

    Keywords: data scienceEquityenvironmental sciencediversityinclusionconference proceedingsEnvironmental Data Science Inclusion Network

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