Asymptotic formulas for L² bifurcation curves of nonlocal logistic equation of population dynamics

Key Points

• This research aims to examine the asymptotic behavior of bifurcation curves related to a nonlocal logistic equation.
• Analyzed one-dimensional nonlocal Kirchhoff type bifurcation curves.
• Developed asymptotic formulas as alpha approaches infinity.
• Examined the relationship between L2 norm and bifurcation parameters.
• Established new precise asymptotic formulas for bifurcation curves.
• Identified the dependence of bifurcation behavior on the L2 norm as alpha increases.

Abstract