Research Authorship:
Randy Lee, Dr. Mahbubar Rahman, Ph.D.
Faculty Mentor:
Dr. Mahbubar Rahman | College of Arts and Sciences | Department of Mathematics and Statistics
Abstract:
The Lotka-Volterra predator-prey model is widely studied and used in many disciplines such as biology, ecology and economics. It is used to describe the growth and coexistence of two interacting populations. The model consists of a pair of first-order nonlinear differential equations. In this paper, we studied steady states, stability of steady states, existence of limit cycles, and bifurcation behavior of the predator-prey model by modifying the existing model with hunting quota. We also illustrated our results with numerical simulations.
