Intraspecific dominance in competitive interactions

Author

Bronte Yvonne Allen

Date of Award

12-1987

Degree Type

Thesis

Degree Name

Master of Science

Major

Mathematics

Major Professor

C.E. Clark

Abstract

The purpose of this thesis is to investigate mathematical interpretations of intraspecific dominance in competitive interactions.

The Introduction and Chapter 1 provide some motivation for the thesis and define most of the terminology used in the text. In Chapter 2 conditions are defined that can be interpreted as intraspecific competitive dominance. These conditions are used to prove the existence of a unique positive equilibrium for the general Kolmogorov model with certain assumptions. In Chapter 3 one more condition is defined that can be interpreted as a condition of "balance" in the competitive community. The balance condition and the conditions of intraspecific competitive dominance are used to prove that a positive equilibrium is locally asymptotically stable.

Recommended Citation

Allen, Bronte Yvonne, "Intraspecific dominance in competitive interactions. " Master's Thesis, University of Tennessee, 1987.
https://trace.tennessee.edu/utk_gradthes/13398