Work

Complex dynamics for a discretized fractional-order predator-prey system with constant-yield prey harvesting and fear effect

Year: 2025

Type: article

Abstract: In this paper, we derived and studied the discrete version of a continuous fractional-order predator-prey system with constant-yield prey harvest and a monotonically increasing function response, as well as a fear effect of the predator on the bait. After studying in detail the existence and local stability of the fixed points of the system, some favorable conditions for the occurrence of its Neimark–Sacker bifurcation and period-doubling bifurcation were obtained by using the central manifold theorem and bifurcation theory. Finally, numerical simulations carried out using Matlab software illustrate the theoretical results previously obtained and reveal its some new dynamics–the chaotic occurrence.

Source: Mathematical Modelling and Control

DOI: 10.3934/mmc.2025021

Authors: Dengfeng Wang, Xianyi Li, Xiao Zhu, Enrui Zhang

Institution: Zhejiang University of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Zhejiang University, Zhejiang University of Science and Technology

Award: G105032815