Modeling Chaotic Population Dynamics with Feedbacks
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.
Ivan A Sudakov
Primary Advisor's Department
Stander Symposium poster
"Modeling Chaotic Population Dynamics with Feedbacks" (2019). Stander Symposium Posters. 1668.