Inverse bifurcation problems for diffusive Holling–Tanner population model

Abstract

Key words Asymptotic behavior of bifurcation curve, Holling-Tanner population model, inverse problems MSC(2010) 34C23, 34F10We consider the equation which is called Holling-Tanner population modelwhere λ > 0 is a bifurcation parameter and m, k > 0 are unknown constants. In this paper, we determine the unknown constants m, k from the asymptotic behavior of the bifurcation curve λ(α), where α = u λ ∞ > 0.