Faculty Sponsor
Dr. Mahbubar Rahman PhD
Faculty Sponsor College
College of Arts and Sciences
Faculty Sponsor Department
Mathematics & Statistics
Location
SOARS Virtual Conference
Presentation Website
https://unfsoars.domains.unf.edu/predator-prey-model-with-herding-behavior-and-hunting-quota/
Keywords
SOARS (Conference) (2020 : University of North Florida) -- Posters; University of North Florida. Office of Undergraduate Research; University of North Florida. Graduate School; College students – Research -- Florida – Jacksonville -- Posters; University of North Florida – Undergraduates -- Research -- Posters; University of North Florida. Department of Mathematics and Statistics -- Research -- Posters; Engineering; Math; and Computer Sciences -- Research – Posters
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.
Included in
Predator-Prey Model with Herding Behavior and Hunting Quota
SOARS Virtual Conference
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.
https://digitalcommons.unf.edu/soars/2020/spring_2020/47