A Modified Lotka-Volterra Competition Model with a Non-Linear Relationship Between Species

Authors

Austin Taylor, University of AlabamaFollow
Amy Crizer, James Madison UniversityFollow

Abstract

In this article, we consider a modified Lotka-Volterra competition model, which incorporates a non-linear relationship representing the interaction between species. We study the qualitative properties of this new system and compare them to the qualitative properties of the classical Lotka-Volterra equations and obtain results suggesting that the modified model is a better representation of some biological situations.

Author Bio

Austin is an undergraduate student at the University of Alabama who will graduate with a Bachelor of Science in Mathematics and a minor in Psychology in May 2007. After graduating, he plans to pursue a Ph.D. in either pure or applied mathematics. His current interests lie in the theoretical and applied aspects of analysis and differential equations.

Amy will graduate with a Bachelor of Science in mathematics and a minor in computer science from James Madison University in May 2006. She plans to go onto graduate school with hopes of earning a Ph.D. in applied mathematics. She is very interested in the field of mathematical biology and would like to continue research in this area.

Faculty Sponsor

James H. Liu

Recommended Citation

Taylor, Austin and Crizer, Amy (2005) "A Modified Lotka-Volterra Competition Model with a Non-Linear Relationship Between Species," Rose-Hulman Undergraduate Mathematics Journal: Vol. 6: Iss. 2, Article 8.
Available at: https://scholar.rose-hulman.edu/rhumj/vol6/iss2/8