Jambura Journal of Mathematics
Vol 4, No 1: January 2022

Complexity of a Discrete-Time Predator-Prey Model Involving Prey Refuge Proportional to Predator

P. K. Santra (Maulana Abul Kalam Azad University of Technology, Kolkata-700064)
Hasan S. Panigoro ([SCOPUS ID: 57211917739] Department of Mathematics, State University of Gorontalo)
G. S. Mahapatra (National Institute of Technology Puducherry, Karaikal-609609)

Article Info

Publish Date
01 Jan 2022

Abstract

In this paper, a discrete-time predator-prey model involving prey refuge proportional to predator density is studied. It is assumed that the rate at which prey moves to the refuge is proportional to the predator density. The fixed points, their local stability, and the existence of Neimark-Sacker bifurcation are investigated. At last, the numerical simulations consisting of bifurcation diagrams, phase portraits, and time-series are given to support analytical findings. The occurrence of chaotic solutions are also presented by showing the Lyapunov exponent while some parameters are varied.

Copyrights © 2022




Citation Download
RIS
EndNote, Reference Manager, ProCite
BibTex
Latex, Jabref
Full PDF
2058.06 KB
Original Source
Download Original
Google Scholar
Check in Google Scholar
Journal Info
Jambura Journal of Mathematics
Website

Abbrev

jjom

Publisher

Universitas Negeri Gorontalo

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...