Spreading and Vanishing in Nonlocal Diffusion Models With Free Boundaries
ABSTRACT In this paper, we study the long‐time dynamics of a two‐species model of Lotka–Volterra type with nonlocal diffusion and free boundaries. Our results complement those of Du, Wang and Zhao (2022) and specifically address strong competition and predation by one species. In addition, we use a different method to prove the vanishing case and establish the sharp criteria for spreading and vanishing.
Authors
- Linfei Shi (ORCID: https://orcid.org/0000-0003-1163-2444)
- Tianzhou Xu
Institutions
- Beijing Institute of Technology (CN)
- North China University of Water Resources and Electric Power (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-09-15
- DOI
- https://doi.org/10.1002/mma.70129
- Citations
- 1
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 3.69