arxiv:2508.01955

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

Published on Aug 3, 2025

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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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