Year
2022
Season
Spring
Paper Type
Master's Thesis
College
College of Arts and Sciences
Degree Name
Master of Science in Mathematical Sciences (MS)
Department
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
First Advisor
Dr. Mahbubur Rahman
Department Chair
Dr. Richard Patterson
College Dean
Dr. James Garner
Abstract
We considered the livelihood of two prey species in the presence of a predator species. To understand this phenomenon, we developed and analyzed two mathematical models considering indirect and direct mutualism of two prey species and the influence of one predator species. Both types of mutualism are represented by an increase in the preys' carrying capacities based on direct and indirect interactions between the prey. Because of mutualism, as the death rate parameter of the predator species goes through some critical value, the model shows transcritical bifurcation. Additionally, in the direct mutualism model, as the death rate parameter decreases to some critical value, the model shows limit cycle phenomena.
Suggested Citation
Lee, Randy Huy, "Dynamics of Mutualism in a Two Prey, One Predator System with Variable Carrying Capacity" (2022). UNF Graduate Theses and Dissertations. 1120.
https://digitalcommons.unf.edu/etd/1120