Chaos in a Competitive Species Model
Type of Submission
Poster
Keywords
Competitive species model
Campus Venue
Dixon Ministry Center, Alumni Hall
Location
Cedarville, OH
Start Date
4-10-2013 1:00 PM
End Date
4-10-2013 5:00 PM
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Apr 10th, 1:00 PM
Apr 10th, 5:00 PM
Chaos in a Competitive Species Model
Cedarville, OH
Comments
Abstract:
This presentation looks at a symmetrically coupled logistic equation, proposed by Lopez-Ruiz and Foumier-Prumaret, that mimics the competitive interaction between two species. For a certain range of values for an interaction variable, the two species can coexist. The calculation of a Lyapunov exponent, however, shows that the model will lead to chaos, making it impossible to predict the outcome of the interaction between the two species for certain values of the interaction variable.