Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics

Tetsutaro Shibata

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arXiv · 2512.14955

Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics

Tetsutaro Shibata

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Abstract

The one-dimensional nonlocal Kirchhoff type bifurcation problems which are derived from logistic equation of population dynamics are studied. We obtain the precise asymptotic shapes of $L^2$ bifurcation curves $\lambda = \lambda(\alpha)$ as $\alpha \to \infty$, where $\alpha:= \Vert u_\lambda \Vert_2$.

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Tetsutaro Shibata. 2025-12-16. Asymptotic formulas for $L^2$ bifurcation curves of nonlocal logistic equation of population dynamics. https://arxiv.org/abs/2512.14955

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