Bifurcation analysis uncovers asymptotic behavior in population dynamics, suggesting new insights into nonlocal interactions.
The asymptotic behavior of one-dimensional nonlocal Kirchhoff type bifurcation curves is precisely studied. This problem is motivated by the nonlocal logistic equation of population dynamics investigated recently by the author. We establish the new precise asymptotic formulas for L² bifurcation curves λ = λ (α ) as α → ∞ , where α := u_λ ₂ .
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Tetsutaro Shibata (2026) studied this question.
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