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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.07362 |
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| _version_ | 1866911307930796032 |
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| author | Guo, Jong-Shenq Hamel, François Wu, Chin-Chin |
| author_facet | Guo, Jong-Shenq Hamel, François Wu, Chin-Chin |
| contents | We study a singular diffusive prey-predator system with nonlocal dispersal for which the carrying capacity of the predator is proportional to the density of prey. We show the existence of positive one-dimensional traveling waves connecting the predator-free state and the constant co-existence state. The set of admissible wave speeds is proved to be equal to the semi-infinite interval $[s^*,\infty)$, for some $s^*>0$ which is characterized by a variational formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07362 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal Guo, Jong-Shenq Hamel, François Wu, Chin-Chin Analysis of PDEs We study a singular diffusive prey-predator system with nonlocal dispersal for which the carrying capacity of the predator is proportional to the density of prey. We show the existence of positive one-dimensional traveling waves connecting the predator-free state and the constant co-existence state. The set of admissible wave speeds is proved to be equal to the semi-infinite interval $[s^*,\infty)$, for some $s^*>0$ which is characterized by a variational formula. |
| title | Traveling Wave Solutions For A Singular Diffusive Prey-Predator Model With Nonlocal Dispersal |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2512.07362 |