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    Optimal Foraging Theory
    This module introduces the optimal foraging strategy in the context of understanding competition and coexistence among species. It is intended for an introductory biology audience.

    Keywords: ecologyforagingoptimal foragingInequalities

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    Optimal Foraging in Swirl
    This lesson centers around the marginal value theorem (MVT, Charnov 1976), which describes how animals should forage in patches. It serves as a pre-lab to teach MVT basics, vectors, ANOVA, and...
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    Sorry to Eat and Run: A Lesson Plan for Testing Trade-off in Squirrel Behavior Using Giving Up Densities (GUDs)
    All animals need to find and compete for food, shelter, and mates in order to survive and reproduce. They also need to avoid being eaten by predators. Optimal foraging theory provides a framework...

    Keywords: ecologyanimal behaviorAnimal form and functionAnimal nutritionSquirrel-Net

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    Squirreling Around for Science: Observing Sciurid Rodents to Investigate Animal Behavior
    Hands-on research experiences are important opportunities for students to learn about the nature of inquiry and gain confidence in solving problems. Here, we present an inquiry-based lesson plan...

    Keywords: foragingbehaviorbehavioral ecologySciuridSquirrelSquirrel-NetTrade-offVigilance

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    2008-Ratneesh_Suri-Optimal harvesting strategies for fisheries-differential equations approach
    We develop and investigate the harvesting model in both deterministic and stochastic settings. We first employ the Expected Net Present Value approach and determine optimal harvesting policy using...

    Keywords: optimal controlsustainable yieldmaximum sustainable yieldharvestExpected Net Present Valuecalculus of variationsdynamic programmingmaximum economic yield

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    2011-Gaff-Lenhart-Use of optimal control models to predict treatment time for managing tick-borne disease
    Tick-borne diseases have been on the rise recently, and correspondingly, there is an increased interest in implementing control measures to decrease the risk. Optimal control provides an ideal tool...

    Keywords: diseaseoptimal controlTICKtick modeehrlichiosisbang bang control

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    An Introduction to the Squirrel-Net Teaching Modules
    Although course-based undergraduate research experiences (CUREs) are gaining popularity in biology, most are designed for benchwork-based laboratory courses while few focus on field-based skills....

    Keywords: ecologybehaviortrade-offsScientific ProcessSquirrel-Net

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    2017-Xiang_Liu-Mathematical Studies of Optimal Economic Growth Model with Monetary
    In this paper, efforts will be made to study an extended Neoclassic economic growth model derived from Solow-Swan Model and Ramsey-Cass-Koopsman Model.

    Keywords: Optimal Control TheoryJacobianSolow-Swan modelMonetary policyoptimal economic growth

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    2017-Sim-EtAl-Optimal control of a coupled tanks system with model-reality differences
    In this paper, an efficient computational approach is proposed to optimize and control a coupled tanks system.

    Keywords: optimal controlflowtankscoupled tanks

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    1972-Suresh_Sethi-Optimal Control of the Vidale-Wolfe Advertising Model
    This paper considers an optimal-control problem for the dynamics of the Vidale-Wolfe advertising model, the optimal control being the rate of advertising expenditure to achieve a terminal market...

    Keywords: Optimal Control Theoryadvertisingsales

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    AIMS- Analyzing Images to learn Mathematics and Statistics - studying leaf cutter ants to learn linear regression
    This is a teaching resource that uses fascinating images and videos of leaf cutter ants foraging in Panama to provide an engaging context for students to learn about mathematics and statistics.

    Keywords: statisticsmoduleecologydata analysisleaf cutter antsmorphologyforagingallometryeusociallinear regressionimage analysisin-class activitylab protocolproject

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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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    2004-Ledzewicz-Schattler-Application of Control Theory in Modelling Cancer Chemotherapy
    In this paper we discuss how to incorporate more realistic medical aspects of chemotherapy which hitherto have been neglected in the models.

    Keywords: optimal controldrug resistancepharmacokineticspharmacodynamicschemotherapy

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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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    2002-Chai-Optimal initial angle to fire a projectile
    Assume a projectile is fired without air resistance and lands at a height y above its initial vertical position. What is the optimal initial angle of firing to maximize the horizontal distance...

    Keywords: optimizationprojectile motionlaunch angle

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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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    The nose knows: How tri-trophic interactions and natural history shape bird foraging behavior. Introduction to data visualization.
    Students investigate the role of olfaction and infochemicals on bird foraging behavior.. In this module students learn to analyze and present graphic data in ways that simplify interpretation.

    Keywords: Resources @ ESA - TIEEforagingdata visualizationCommunity Ecologyfmnbehavioral ecologyDIGtrophic cascadesAntarctic foodd webs

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    Leaf cutter ant foraging
    This module introduces students to leaf-cutter ants in the rainforests of Panama. Students derive their own research hypotheses regarding ant foraging or allometric scaling relationships.

    Keywords: leaf cutter antsforagingallometrylinear regressiongraphingdata visualizationResources @ AIMSbody size

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    The nose knows: How tri-trophic interactions and natural history shape bird foraging behavior. An introduction to statistical analysis in animal behavior research
    Students investigate the role of olfaction and infochemicals on bird foraging behavior through two different quantitative activities where they generate hypotheses, create figures, conduct data...

    Keywords: Resources @ ESA - TIEEforagingfmnanimal behaviorbehavioral ecologyDIGtrophic cascades

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    2006-Ousmane_Mousa_Tessa-Mathematical model for control of measles by vaccination
    In this article, we use a compartmental mathematical model of the dynamics of measles spread within a population with variable size to provide this framework.

    Keywords: vaccinationcompartmentherd immunitymeaslesoptimal strategy

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