Open Access. Powered by Scholars. Published by Universities.®

Physical Sciences and Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Mathematics

Conference

And Computer Sciences -- Research – Posters

Articles 1 - 1 of 1

Full-Text Articles in Physical Sciences and Mathematics

Predator-Prey Model With Herding Behavior And Hunting Quota, Randy Lee, Mahbubar Rahman Phd Apr 2020

Predator-Prey Model With Herding Behavior And Hunting Quota, Randy Lee, Mahbubar Rahman Phd

Showcase of Osprey Advancements in Research and Scholarship (SOARS)

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.