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Event Type
Research Presentation
Academic Department
Mathematics and Statistics
Start Date
5-4-2021 12:00 AM
Description
Non-linear systems of differential equations have been used to model populations of interacting species since the 1920's, when the predator-prey model was first introduced by mathematicians Lotka and Volterra. This project will explore two-dimensional linear and non-linear systems, the relationship between phase plane portraits and the corresponding solutions of the systems, and applications to ecological population dynamics analysis. Further refinements of the predator-prey model from recent years will also be explored.
Non-Linear Differential Equations Models for Interacting Species with a Focus on Predator-Prey
Non-linear systems of differential equations have been used to model populations of interacting species since the 1920's, when the predator-prey model was first introduced by mathematicians Lotka and Volterra. This project will explore two-dimensional linear and non-linear systems, the relationship between phase plane portraits and the corresponding solutions of the systems, and applications to ecological population dynamics analysis. Further refinements of the predator-prey model from recent years will also be explored.
Comments
Under the direction of Dr. Stephen Wassell.