College of Arts and Sciences
Master of Science in Mathematical Sciences (MS)
Mathematics & Statistics
NACO controlled Corporate Body
University of North Florida. Department of Mathematics and Statistics
Dr. Mahbubur Rahman
Dr. Richard Patterson
Dr. James Garner
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.
Lee, Randy Huy, "Dynamics of Mutualism in a Two Prey, One Predator System with Variable Carrying Capacity" (2022). UNF Graduate Theses and Dissertations. 1120.