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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2508.01955 |
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| _version_ | 1866913974133456896 |
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| author | Shibata, Tetsutaro |
| author_facet | Shibata, Tetsutaro |
| contents | We study the one-dimensional nonlocal Kirchhoff type bifurcation problem related to logistic equation of population dynamics. We establish the precise asymptotic formulas for bifurcation curve $λ= λ(α)$ as $α\to \infty$ in $L^2$-framework, where $α:= \Vert u_λ\Vert_2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01955 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics Shibata, Tetsutaro Analysis of PDEs We study the one-dimensional nonlocal Kirchhoff type bifurcation problem related to logistic equation of population dynamics. We establish the precise asymptotic formulas for bifurcation curve $λ= λ(α)$ as $α\to \infty$ in $L^2$-framework, where $α:= \Vert u_λ\Vert_2$. |
| title | Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.01955 |