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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...
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    1975-David_Burghes-Population dynamics An introduction to differential equations
    In this paper a number of population models, which lead to differential equations, are derived. First-order variables separable equations are formulated from the Malthusian population model and its...
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    Fish, forests, and phosphorus: How do tropical fish, rainforest canopies, and volcanic groundwater inputs affect stream phosphorus cycling?
    Rainforest stream nutrient concentrations vary with groundwater source, and different stream fish species feed on aquatic and/or terrestrial prey. Explore how phosphorus cycling changes with stream...
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    1-190-IntroClass-ModelingScenario
    Students go through development of ideas in mathematical modeling with differential equations. They encounter fundamental ideas of unlimited population growth, limited population growth and a...
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    5-015-RunnersSynchronize-ModelingScenario
    In this modeling scenario we practice finding and classifying equilibria of a one-variable differential equation. We do this in the context of a phase model which is often a simpler way of studying...
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    Nastic Movements in Plants
    This module introduces an osmotic model in the context of understanding plants' capability of rapidly adapting to changes in their environment. It is intended for an introductory biology audience.
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    Spider Silk: Stress-Strain Curves and Young's Modulus
    This module introduces the stress-strain curve in the context of understanding materials' mechanical behavior. It is intended for an introductory biology audience.
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    Type I Functional Response
    This module introduces the type I functional response in the context of understanding the relationship between an individual's rate of consumption and food density. It is intended for an...
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    Understanding Trophic Interactions in Rice Agriculture: A Jigsaw Approach
    Students explore four different issues related to trophic interactions that affect modern rice agriculture practices and consider relationships between these issues.
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    Adaptation of Terrestrial Trophic Cascades & Population Structure to a Non-Major’s Ecology Course
    In this activity, students will use data from natural parks to examine trophic cascades.
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    Wolf Sheep Predation Simulation Exercise
    This resource is an exercise to introduce students to agent-based modeling of biological systems through working with a simple existing model.
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    6-008-PursuitModels-Modeling Scenario
    Students are prompted to build systems of nonlinear differential equations to model pursuit-evader activities in which a pursuer attempts to follow, perhaps track down and come close to, an evader...
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    Defenses against predation: Interpreting graphs of predator behavior
    In this lesson, students discuss anti-predator defense mechanisms and the types of cues defenses provide to predators. Students then interpret graphs of behavior of arthropod predators when...
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    1988-Michael_Intriligator-Dagobert_Brito-A_Predator-Prey_Model_of_Guerrilla_Warfare
    The purpose of this paper is to analyze guerrilla warfare by means of a dynamic model. The model suggests specific paths for the evolution of such ward and how such wars might be fought or combatted.
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    6-067-LotkaVolterra-ModelingScenario
    This modeling scenario guides students through the process of fitting the Lotka-Volterra model of two differential equations to a real time series observational data. Students use the capabilities...
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    Modeling Two Species Interactions Educational Module
    This set of files comprises an educational module for use in college-level ecology courses. It focuses on exploring two species interactions (mutualism, competition, and predator-prey dynamics)...
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    6-026-IsleRoyaleModeling-ModelingScenario
    The primary aim of this project is to draw a connection between differential equations and vector calculus, using population ecology modeling as a vehicle.
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    Snapshot Serengeti Online Lab
    Snapshot Serengeti is a fully online inquiry-based lab that uses real camera-trap data from Serengeti National Park in Tanzania to explore themes of tropical ecology and animal behavior.
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    6-021-AcornsRodentsSnakes-ModelingScenario
    Students are given the opportunity to build a three tropic level model in which snakes eat rodents, rodents eat acorns, and acorns grow and occasionally mast.
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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...
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