학술논문

Stability and bifurcation analysis of a discrete predator-prey system of Ricker type with refuge effect
Document Type
article
Source
Mathematical Biosciences and Engineering, Vol 21, Iss 3, Pp 4554-4586 (2024)
Subject
predator-prey system
ricker
refuge
stability
period-doubling bifurcation
neimark-sacker (ns) bifurcation
chaos control
Biotechnology
TP248.13-248.65
Mathematics
QA1-939
Language
English
ISSN
1551-0018
Abstract
The refuge effect is critical in ecosystems for stabilizing predator-prey interactions. The purpose of this research was to investigate the complexities of a discrete-time predator-prey system with a refuge effect. The analysis investigated the presence and stability of fixed points, as well as period-doubling and Neimark-Sacker (NS) bifurcations. The bifurcating and fluctuating behavior of the system was controlled via feedback and hybrid control methods. In addition, numerical simulations were performed as evidence to back up our theoretical findings. According to our findings, maintaining an optimal level of refuge availability was critical for predator and prey population cohabitation and stability.