Work

A nonlocal diffusion model with free boundaries in a spatially heterogeneous environment

Year: 2024

Type: article

Abstract: In this paper, we study a nonlocal diffusion problem with free boundaries in a spatially heterogeneous environment. Since both the diffusion and reaction terms include nonlocal operators that do not satisfy the local Lipschitz continuity condition, many traditional methods are not directly applicable. We introduce new techniques to address these challenges. We first establish the global existence and uniqueness of the solution. By studying the principal eigenvalue of the problem, we obtain the spreading-vanishing dichotomy and the corresponding criteria. Under a suitable condition, we determine the long-term behavior of the solution when spreading occurs.

Source: Discrete and Continuous Dynamical Systems - B

DOI: 10.3934/dcdsb.2024128

Authors: Wei-Zhi Zeng, Peng-Fei Sun, Rong Wang, Wan-Tong Li

Institution: Lanzhou University

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: W4402896582

FWCI: 0.752

Cites: 27

Cited by: 2

Related to: 10