Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917659199668224 |
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| author | Guo, Jong-Shenq Shimojo, Masahiko |
| author_facet | Guo, Jong-Shenq Shimojo, Masahiko |
| contents | In this work, we first prove a stability theorem for traveling waves in a class of non-cooperative reaction-diffusion systems with nonlocal dispersal of equal diffusivities. Our stability criterion is in the sense that the initial perturbation is such that a suitable weighted relative entropy function is bounded and integrable. Then we apply our main theorem to derive the stability of traveling waves for some specific examples of non-cooperative systems arising in ecology and epidemiology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03909 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities Guo, Jong-Shenq Shimojo, Masahiko Analysis of PDEs 35K55, 35K57, 92D25, 92D40 In this work, we first prove a stability theorem for traveling waves in a class of non-cooperative reaction-diffusion systems with nonlocal dispersal of equal diffusivities. Our stability criterion is in the sense that the initial perturbation is such that a suitable weighted relative entropy function is bounded and integrable. Then we apply our main theorem to derive the stability of traveling waves for some specific examples of non-cooperative systems arising in ecology and epidemiology. |
| title | Stability of traveling waves in non-cooperative systems with nonlocal dispersal of equal diffusivities |
| topic | Analysis of PDEs 35K55, 35K57, 92D25, 92D40 |
| url | https://arxiv.org/abs/2405.03909 |