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    Distances in the Universe: An Inquiry Lab Sequence Taught in West Africa and North America
    Astronomy evokes deep curiosity for many people, making it a beautiful topic for supporting students to learn scientific practices and develop as scientists. We present an inquiry-based lab...

    Keywords: InquiryAstronomy labParallaxInverse-square law for lightCosmic distance ladderAsking investigable questions

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    5-007-ChemOpt-ModelingScenario
    Modeling a chemical reaction and estimating parameters in the model permits optimization of profits from extracting reactants.

    Keywords: optimizationpYield and sustainabilitynonprofit managementLaw of Mass Actionkineticreaction

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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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    2017-Justin_Krueger-Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
    We demonstrate the feasibility of principal differential analysis using simulation studies and then apply the method to intestinal and vaginal microbiota data.

    Keywords: microbiologyLotka Volterrramicrobiota

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    2017-Fred_Adler-Mathematically Modeling Asthma
    Our Asthma models have examined how a viral infection can tip the immune system into a different state, with the potential to predispose an individual to future asthma

    Keywords: infectionasthmaimmune responserhinovirus

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    2016-Lewnard-Townsend-Climatic and evolutionary drivers of phase shifts in the plague epidemics of colonial India
    Our analysis shows that historical datasets can yield powerful insights into the transmission dynamics of reemerging disease agents with which we have limited contemporary experience to guide...

    Keywords: infectious diseasepVector-Borne Diseaselagueplague

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    2017-Zhang-Wang-Study on public opinion propagation in self media age based on time delay differential model
    We establish the Logistic equation, introduce the operator time delay differential equation, and finally establish the improved delay differential equation, which can describe the propagation trend...

    Keywords: propagationpubic opinionNetwork public opinionpropagation lawself-mediaXiongan New Area

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    2013-Deboeck-Bergeman-The reservoir model-DE model of psychological regulation
    The following article describes a differential equation model based on the concept of a reservoir for psychological regulation.

    Keywords: adaptive copingReservoirsNotre Dame Longitudinal Study on Agingoutputinput distributionstressorscoping resources

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    2013-Clarke-Skirba-Rationale and resources for teaching the mathematical modeling of athletic training and performance
    It is advisable that the professionals involved learn the various tools available for designing effective training programs.

    Keywords: fitnessexercise physiologycritical power modelBanister impulse-response modelcoaching educationphysical fitnessperformance modeling

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    2012-Tweedle-Smith-Mathematical model of Bieber Fever-The most infectious disease of our time
    We develop a mathematical model to describe the spread of Bieber Fever, whereby individuals can be susceptible, Bieber-infected or bored of Bieber.

    Keywords: infectious diseasediseaseinfectionmediaJustin BieberBieber feversymptomsboredreproductive ratio

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    2012-Augustus-Wali-Mathematical Modeling of Uganda Population Growth
    The purpose of this paper focuses on the application of logistic equation to model the population growth of Uganda using data from 1980 to 2010 (inclusive).

    Keywords: population growthlogistic growthDrug and Alcohol detoxificationcarrying capacityvital coefficients

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    2011-Mandal-EtAl-Mathematical models of malaria
    The first aim of this article is to develop, starting from the basic models, a hierarchical structure of a range of deterministic models of different levels of complexity. The second is to...

    Keywords: epidemiologytransmissionhost-parasitemalariaRoss model

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    2010-Kijek-Kijek-Modelling of Innovation Diffusion
    This paper offers a first order differential equation model for innovation diffusion, solves it, and offers qualitative analysis as well as approaches to estimating parameters with some data on...

    Keywords: Bass modelinnovation diffusionLogistic modeldynamic model

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    2010-Keesom-EtAl-Fishing for Answers Investigating Sustainable Harvesting Ra
    The purpose of this report is to determine and propose a model by which an optimal harvesting frequency can be determined to maintain a steady population of Alaskan salmon.

    Keywords: fisheriesEuler's methodnonlinearlogistic harvestingcanabalismsalmon

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    2009-Schaffer-Bronnikova-Controlling malaria
    The present paper reviews potential control strategies from the viewpoint of mathematical epidemiology.

    Keywords: epidemiologymalariabifurcationmosquitotransgenic mosquitoes

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    2009-Noakes-Sleigh-Mathematical models for assessing the role of airflow on the risk of airborne infection in hospital wards
    Understanding the risk of airborne transmission can provide important information for designing safe healthcare environments with an appropriate level of environmental control for mitigating risks.

    Keywords: infectioncompartmenthospitalventilationairbornesthochasticWells–Riley

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    2008-Huet-Deffuant-Differential Equation Models Derived from an Individual-Based Model Can Help to Understand Emergent Effects
    We study a model of primacy effect on individual's attitude. Typically, when receiving a strong negative feature first, the individual keeps a negative attitude whatever the number of moderate...

    Keywords: agent-based modelprimacy effectinformation filteringaggregated modelcollectiveinteractionsdouble-modelling

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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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    2002-Dietz-Heesterbeek-Daniel Bernoulli-epidemiological model revisited
    The seminal paper by Daniel Bernoulli published in 1766 is put into a new perspective. After a short account of smallpox inoculation and of Bernoulli’s life, the motivation for that paper and its...

    Keywords: life tableepidemicsmallpoxDaniel Bernoullicompeting riskinoculation

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    2001-Noymer-The transmission and Persistence of Urban Legends-Sociological Application of Age-Structures Epidemic Models
    This paper describes two related epidemic models of rumor transmission in an age-structured population. Rumors share with communicable disease certain basic aspects, which means that formal models...

    Keywords: age structurerumorspersistenceUrban Legends

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