##### Predator-Prey Dynamics: the Lotka-Volterra Model
This module introduces the Lotka-Volterra model in the context of understanding how predator and prey interact. It is intended for an introductory biology audience.
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##### Interspecific Competition: the Lotka-Volterra Model
This module introduces the Lotka-Volterra Model in the context of understanding interspecific competition. It is intended for an introductory biology audience.
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##### Mosquito Invasion! A Lotka-Volterra Competition Case Study
In this instructor-led interrupted case study, students practice interpreting Lotka-Volterra competition model parameters using data on an invasive and native mosquito species.
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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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##### Exploring the Lotka-Volterra Competition Model using Two Species of Parasitoid Wasps
Experiment included in Teaching Issues and Experiments in Ecology (TIEE) Volume 2
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##### 2016-Devaki-Swathi-System of Differential Equations in Prey Predator Model
Predation relationship exists in ecological niches throughout the world. This is the species interaction which will be mathematically analyzed and embodied in this work.
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##### Modeling 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 using Lotka and Volterra...
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##### 2011-Lucas_Pulley-Analyzing Predator-Prey Models Using Systems of Ordinary Linear Differential Equations
This research focused on applying biological mathematics to analyzing predation relationships, especially the relationship between the Canadian Lynx and the Snowshoe Hare.
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##### Two-Species Model
These two Excel worksheets simulate the population growth of two interacting species. In isolation, each species grows logistically, but interaction effects between species may limit or enhance...
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##### 6-022-CannibalismPredatorPrey-ModelingScenario
The Lotka-Volterra model tells us that the prey and predator exhibit a shifted cyclic behavior over time. In this module, we look at modifying this prey-predator model to consider the case when...
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##### 2018-Franklin_Chen-Teaching Kinetics through Differential Equations Constructed with a Berkeley MadonnaTM Flow Chart Model
This kinetics manual has been successfully implemented in Physical Chemistry at UW-Green Bay in the fall semester of 2017, with the students’ success rate greater than 80%.
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##### 2006-Graves-Peckham-Pastor-2D differential equations model for mutualism
We develop from basic principles a two-species differential equations model which exhibits mutualistic population interactions.
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The study of any phenomenon in the physical or biological sciences, in which continuity and differentiability assumptions about the quantities in question can be made, invariably leads to a...
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##### 3-087-ThanosPopulationDynamicsInteractingSpecies-ModelingScenario
Thanos snaps his fingers and turns half of all living creatures to dust with the hope of restoring balance to the natural world. How does this affect the long term behavior of various species?
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##### Predator-Prey Interactions: Selective foraging by wolf spiders
This interactive case study is intended for use in lower-division biology or ecology courses to complement the SimUText (SimBio) chapter entitled Predation, Herbivory and Parasitism.
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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.
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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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##### 1-137-SheepGraze-ModelingScenario
In this activity, students will apply graphical analysis (such as phase lines) to determine the long-term predictions of a differential equation model for pasture grass using two different formulas...
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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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