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All Journal Jambura Journal of Mathematics
G. S. Mahapatra
National Institute of Technology Puducherry, Karaikal-609609
Mathematics

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Complexity of a Discrete-Time Predator-Prey Model Involving Prey Refuge Proportional to Predator P. K. Santra; Hasan S. Panigoro; G. S. Mahapatra
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (2058.06 KB) | DOI: 10.34312/jjom.v4i1.11918

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.
Co-Authors Hasan S. Panigoro P. K. Santra