Work

Bifurcation and spatiotemporal patterns of a Leslie-Gower model with diffusive

Year: 2025

Type: article

Abstract: This paper is concerned with a diffusive Leslie-Gower predator-prey system subject to homogeneous Neumann boundary conditions. We derive a priori estimates for positive steady states by the maximum principle and establish the nonexistence of nonconstant positive steady states by energy method. Then the conditions for Turing instability of a unique positive constant steady state are obtained. Based on Leray-Schauder degree theory, the existence of nonconstant positive steady states is discussed. Additionally, a series of thorough qualitative examinations are carried out on the local bifurcation at both simple and double eigenvalues, and global structure and direction of the steady state bifurcations at simple eigenvalues are investigated. To conclude, numerical simulations are performed to validate and complement the analytical findings.

Source: Advances in Continuous and Discrete Models

DOI: 10.1186/s13662-025-04028-1

Authors: Hailong Yuan, Xiaoyi Liu

Institution: Shaanxi 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

Estimated APC paid: $1,890

Funders: National Natural Science Foundation of China, Education Department of Shaanxi Province, Natural Science Foundation of Shaanxi Provincial Department of Education