Stability and instability of constant stationary solutions to some integro-differential equations
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913492049592320 |
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| author | Chen, Yuming Vougalter, Vitali |
| author_facet | Chen, Yuming Vougalter, Vitali |
| contents | We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_03191 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability and instability of constant stationary solutions to some integro-differential equations Chen, Yuming Vougalter, Vitali Analysis of PDEs 35K55, 35K57, 45K05 We consider some reaction-diffusion equations describing systems with the nonlocal consumption of resources and the intraspecific competition. Sharp conditions on the coefficients are obtained to ensure the stability and instability of nontrivial constant stationary solutions. |
| title | Stability and instability of constant stationary solutions to some integro-differential equations |
| topic | Analysis of PDEs 35K55, 35K57, 45K05 |
| url | https://arxiv.org/abs/2409.03191 |