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    2013-Gonzalez_Parra-Arenas-Mathematical Model for Social Security Systems with Dynamical Systems
    In this paper it is proposed a mathematical approach based on dynamic systems to study the effect of the increase in the Social Security normal retirement age on the worker and on the dynamics of...

    Keywords: dynamical systemsretirement modelSocial Security

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    2013-Fathalla_Rihan-Delay Differential Equations in Biosciences - Parameter estimation and sensitivity analysis
    This is a review article to show that delay differential models have a richer mathematical framework (compared with models without memory or after-effects) and a better consistency with biological...

    Keywords: epidemiologysensitivityImmunologyphysiologyRK-methodstime-lags

    626

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    Exploring the Ecology of Gorongosa
    Students learn about bottleneck events, population demographics and growth, ecological niches and competition, food chains/webs and ecological disturbances through past and current data on...

    Keywords: Community Ecologypopulation ecology

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    Teaching Exponential and Logistic Growth in a Variety of Classroom and Laboratory Settings
    Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 9

    Keywords: Resources @ ESA - TIEEpopulation growth

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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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    2014-Do-Lee-A Differential Equation Model for the Dynamics of Youth Gambling
    We examine the dynamics of gambling among young people aged 16–24 years, how prevalence rates of at-risk gambling and problem gambling change as adolescents enter young adulthood, and prevention...

    Keywords: reproductive numberGamblingepidemicsensitivity indexyouth gambling

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    Investigating the Drivers of Western Monarch Decline Using Partial Least Squares Regression
    In this lesson, students will explore the drivers of the western monarch butterfly decline. Students will compare the effects of climate factors and land use factors on the western monarch...

    Keywords: RStudiomultivariate analysisMonarch butterfliesPartial Least Squares Regression

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    Hardy-Weinberg Equilibrium: a swirl resource
    Students will use swirl to understand Hardy-Weinberg equilibrium. The lesson starts with observed numbers of individuals for each genotype, and students will work through a number of steps to...

    Keywords: Hardy-Weinbergpopulation geneticsEvolutionevolutionary ecologyR programming languageSwirl

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    Integrating Community Ecology Into the Study of Parasites: Exploring the Effect of Host Behavior on Parasite Transmission Rates
    Organismal life cycles are often presented as a set of facts to memorize in undergraduate biology courses. This approach is cognitively demanding for students and fails to convey how central life...

    Keywords: statisticsspecies interactionsQuantitative reasoninggraphsCommunity EcologyParasitologyfood webs

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    5-024-PhGreatLakes
    In this teaching modeling scenario, we demonstrate how lessons on salt-tank compartmental modeling can be used to predict phosphorus levels in the Great Lakes.

    Keywords: Great Lakeslimnologycomparmentpollutioncompartmental modelsphosphorous

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    2001-Cheng-Teaching mathematical modelling in Singapore schools
    The purpose of this paper is to examine the possibility of introducing the teaching of mathematical modelling to the secondary school curriculum in Singapore.

    Keywords: teachinglogisticsecondary school mathematicsBarnacle GeeseSingapore

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    2011-Lorelei_Koss-Sustainability_in_a_differential_equations_course_case_study_of_Easter_Island
    Easter Island is a fascinating example of resource depletion and population collapse, and its relatively short period of human habitation combined with its isolation lends itself well to...

    Keywords: differential equationssustainabilitypopulationEaster Islandcollapseenvironmental collapse

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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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    Luria-Delbruck
    These two workbooks model the evolution of phage resistance in a bacterial population under two alternative hypotheses.

    Keywords: ExcelphageResources @ ESTEEMLuria-Delbruckresistance

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    ModelSim Population Biology Unit
    This resource provides rich student modeling activities and materials, teacher resources, and much more, in the realm of agent based models applied to population biology.

    Keywords: modelingsimulationmoduleEvolutioncase studycurriculumagent-based modelpopulation modeldemonstrationin-class activityPresentation

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    Marshall Islands
    Students received a short introduction about the history of Marshall Islands. They watch the video and were assigned readings. Students had to write a letter to the author of the poem.
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    Terrestrial Trophic Cascades & Population Structure
    In this activity, students will use data from natural parks to examine trophic cascades.

    Keywords: case studyBiodiversityplantsResource Typetrophic cascadesnational parks

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    Terrestrial Trophic Cascades & Population Structure
    In this activity, students will use data from natural parks to examine trophic cascades.

    Keywords: case studyBiodiversityplantsResource Typetrophic cascadesnational parks

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    2015-Joshi-EtAl-Optimal control of an SIR model with changing behavior through an education campaign
    We study stability analysis and use optimal control theory on the system of differential equations to achieve the goal of minimizing the infected population (while minimizing the cost).

    Keywords: SIR modelsvaccinepopulationwater treatmentsusceptibleeducation campaignminimizing costinfected

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