Presenter Information

Randy Lee
Mahbubar Rahman PhD

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

Mathematics Commons

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Apr 8th, 12:00 AM Apr 8th, 12:00 AM

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

 

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