Linear vs. nonlinear speed selection of the front propagation into unstable states
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915252606599168 |
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| author | Wu, Chang-Hong Xiao, Dongyuan Zhou, Maolin |
| author_facet | Wu, Chang-Hong Xiao, Dongyuan Zhou, Maolin |
| contents | In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary condition for this long-standing problem from a new point of view. Moreover, our results can also reveal the essence of the linearly selected problem for the monostable dynamical system from the observation of the decay rate of the minimal traveling wave solution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_03371 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Linear vs. nonlinear speed selection of the front propagation into unstable states Wu, Chang-Hong Xiao, Dongyuan Zhou, Maolin Analysis of PDEs In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary condition for this long-standing problem from a new point of view. Moreover, our results can also reveal the essence of the linearly selected problem for the monostable dynamical system from the observation of the decay rate of the minimal traveling wave solution. |
| title | Linear vs. nonlinear speed selection of the front propagation into unstable states |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2207.03371 |