Spreading dynamics for the Lotka-Volterra system with general initial supports: the strong competition
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915815765311488 |
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| author | Guo, Hongjun |
| author_facet | Guo, Hongjun |
| contents | This paper studies the spreading dynamics of a high-dimensional strong competition Lotka-Volterra system where two species initially occupy disjoint measurable (possibly unbounded) subsets in $\mathbb{R}^N$, which are called initial support. Recently, Hamel and Rossi [14] introduced some new geometric notions, such as bounded or unbounded directions and positive-distance interior, for single-species equations with general initial supports. Under these notions and appropriate assumptions, we characterize directional spreading behavior for the two-species system: precise spreading speeds and sets for both species are derived. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_21537 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spreading dynamics for the Lotka-Volterra system with general initial supports: the strong competition Guo, Hongjun Analysis of PDEs This paper studies the spreading dynamics of a high-dimensional strong competition Lotka-Volterra system where two species initially occupy disjoint measurable (possibly unbounded) subsets in $\mathbb{R}^N$, which are called initial support. Recently, Hamel and Rossi [14] introduced some new geometric notions, such as bounded or unbounded directions and positive-distance interior, for single-species equations with general initial supports. Under these notions and appropriate assumptions, we characterize directional spreading behavior for the two-species system: precise spreading speeds and sets for both species are derived. |
| title | Spreading dynamics for the Lotka-Volterra system with general initial supports: the strong competition |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2602.21537 |