Modeling Chaotic Population Dynamics with Feedbacks

Modeling Chaotic Population Dynamics with Feedbacks

Presenter(s)

Christina Farwick

Comments

This poster reflects research conducted as part of a course project designed to give students experience in the research process.

Description

While generating a model for a particular system typically relies on the ability to predict the behavior of the system at some arbitrary time, deterministic chaos measures the diversion from predictability: more chaotic implies more disorder, less chaotic implies more predictable. This work will employ Lotka-Volterra equations to describe the dynamics of biological systems. The bifurcation point is the point at which the system goes from stable to unstable. Thus, the objective of this project is to modify the existing Lotka-Volterra model and create bifurcation diagrams. Previous work shows that population dynamics depend heavily on feedback with the environment. Feedback will therefore be introduced as a new variable, and it is expected that the updated model will be able to describe chaotic-dynamics with feedback included.

Publication Date

4-24-2019

Project Designation

Course Project

Primary Advisor

Ivan A. Sudakov

Primary Advisor's Department

Physics

Keywords

Stander Symposium project

Modeling Chaotic Population Dynamics with Feedbacks

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