Work

Complex dynamics of a discretized Rosenzweig–MacArthur prey-predator model with fear effect on prey and prey refuge

Year: 2025

Type: article

Abstract: This work explores a discrete-time predator-prey system governed by a prey-dependent Rosenzweig–MacArthur response, incorporating the fear effect in prey dynamics. The study examines equilibrium properties and bifurcation mechanisms, particularly near the interior fixed point, highlighting their ecological significance. Various bifurcation types, including period-doubling and Neimark-Sacker, are identified, with precise conditions ensuring the latter's occurrence. To manage the system's intricate behavior, Ott-Grebogi-Yorke (OGY) and state feedback control are implemented. Numerical simulations reinforce theoretical findings through phase space reconstructions, Lyapunov exponent analysis, bifurcation diagrams, and local stability assessments, offering a comprehensive perspective on system transitions and control strategies.

Source: AIMS Mathematics

DOI: 10.3934/math.2025659

Authors: Md. Jasim Uddin, Md. Mutakabbir Khan, Ibraheem M. Alsulami, Amer Alsulami

Institutions: Umm al-Qura University, Taif University, University of Dhaka

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: gold

Estimated APC paid: $1,200

Funder: Umm Al-Qura University