Indonesian Journal of Computational and Applied Mathematics
Vol. 1 No. 1: February 2025

The Occurrence of a Neimark-Sacker Bifurcation on a Discrete-Time Predator-Prey Model Involving Fear Effect and Linear Harvesting

Kasim, Ranan (Unknown)
Panigoro, Hasan S. (Unknown)
Rahmi, Emli (Unknown)
Nuha, Agusyarif Rezka (Unknown)
Arsal, Armayani (Unknown)



Article Info

Publish Date
28 Feb 2025

Abstract

This study investigates the dynamics of a discrete-time predator-prey model incorporating the fear effect and linear harvesting. The model assumes that both prey and predator populations are harvested proportionally to their densities, while the growth rate of the prey population is negatively impacted by predator presence due to fear. The analytical exploration identifies three fixed points: the extinction point, the predator-free equilibrium, and the coexistence equilibrium. Stability analysis and numerical simulations confirm the occurrence of a Neimark-Sacker bifurcation at the interior equilibrium, demonstrating the model's complex dynamical behaviors. The findings provide insights into population sustainability under different harvesting and predation conditions, highlighting how fear and harvesting jointly influence ecosystem stability.

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Journal Info

Abbrev

indocam

Publisher

Subject

Computer Science & IT Engineering Mathematics

Description

Indonesian Journal of Computational and Applied Mathematics covers a broad spectrum of topics at the intersection of mathematics, computation, and applied research. We invite submissions in areas such as: 1. Mathematical Modeling and Simulation Mathematical modeling and simulation involve developing ...