Work

Stability and bifurcation analysis in predator-prey system involving Holling type-II functional response

Year: 2025

Type: article

Abstract: In this article, we focused on the study of codimension-one Hopf bifurcations and the associated Lyapunov stability coefficients in the context of general two-dimensional reaction-diffusion systems defined on a finite fixed-length segment. Algebraic expressions for the first Lyapunov coefficients are provided for the infinite-dimensional system subject to Neumann boundary conditions. As an application, a diffusive predator-prey system modeling competing populations with a Holling type-II functional response for the predator was analyzed and studied under Neumann boundary conditions. Our main goal is to perform a detailed, local stability analysis of the proposed model, showing the existence of multiple spatially homogeneous and non-homogeneous periodic orbits, arising from the occurrence of a codimension-one Hopf bifurcation.

Source: Mathematical Biosciences & Engineering

DOI: 10.3934/mbe.2025094

Authors: Jocirei D. Ferreira, Wilmer L. Molina, Jhon J. Perez, Aida P. González

Institutions: Universidade Federal de Mato Grosso, University of Cauca

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: $1,000

Funders: Universidad del Cauca, Universidade Federal de Mato Grosso do Sul