Work

Neimark–Sacker bifurcation and period-doubling bifurcation for a discretized fractional-order predator-prey system with Holling type II functional response

Year: 2025

Type: article

Abstract: In this study, we examine the dynamical behaviors of the discrete form of a fractional-order predator-prey model with a Holling type II functional response. Specifically, we analyze the stability of its fixed points and the potential for various bifurcations by employing stability analysis methods and bifurcation theory. We explicitly show that, under specific parameter conditions, the system undergoes both a Neimark–Sacker bifurcation and a period-doubling bifurcation. Finally, several numerical simulations are performed to verify the analytical results derived earlier.

Source: INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH

DOI: 10.5281/zenodo.17348549

Authors: Xianyi Li, Changyi Chi

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: diamond

OpenAlex ID: W7090751719

FWCI:

Cites:

Cited by:

Related to: