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arXiv · 2508.01955

Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics

Tetsutaro Shibata
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Abstract

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 $\lambda = \lambda(\alpha)$ as $\alpha \to \infty$ in $L^2$-framework, where $\alpha:= \Vert u_\lambda \Vert_2$.

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Tetsutaro Shibata. 2025-08-03. Asymptotic behavior of bifurcation curves of nonlocal logistic equation of population dynamics. https://arxiv.org/abs/2508.01955

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