Stability and bifurcation analysis of a discrete Leslie predator-prey model with fear effect

Authors

DOI:

https://doi.org/10.21015/vtm.v12i1.1686

Keywords:

predator-prey, Leslie-Gower, functional response, stability, bifurcation

Abstract

This study examines a predator-prey model that includes the impact of fear and a square-root functional response
to represent herd behavior in the prey population. Our investigation aims to investigate the existence and stability
of fixed points in this model. Through conducting an extensive analysis, we have uncovered valuable observations on
the model's behavior, namely recognizing the occurrence of period-doubling and Neimark-Sacker bifurcations.
These findings provide an understanding of the intricate dynamics that govern predator-prey interactions in the
presence of fear and herd behavior. We provide numerical examples to support our conclusions.

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Published

2024-03-03

How to Cite

Abbas, N., & Ahmed, R. (2024). Stability and bifurcation analysis of a discrete Leslie predator-prey model with fear effect. VFAST Transactions on Mathematics, 12(1), 16–29. https://doi.org/10.21015/vtm.v12i1.1686