Work

Spatiotemporal dynamics in a diffusive Leslie–Gower model: Turing instability and bifurcations with prey Allee effect and predator fear effect

Year: 2026

Type: article

Abstract: This paper deals with a diffusive Leslie–Gower model with a strong Allee effect on the prey and a fear effect on the predator. We first consider the stability of positive constant solutions of the system in the absence of diffusion. Furthermore, we analyze the Turing instability phenomenon in positive constant solutions resulting from diffusion effects. Moreover, we investigate steady-state bifurcations using the Lyapunov–Schmidt reduction. The research establishes that diffusion can induce instability in these solutions. To validate these findings, we present numerical simulations, suggesting the model’s potential to generate spatial patterns under specific conditions.

Source: Infectious Disease Modelling

DOI: 10.1016/j.idm.2026.10.004

Authors: Ye Han, Wanqin Wu, Xuewen Tan, Xinzhi Liu, Wenjie Li

Institutions: University of Waterloo, Kunming University of Science and Technology

Language: English

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,100

Funders: National Natural Science Foundation of China, Kunming University of Science and Technology, Yunnan Nationalities University