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Inverse bifurcation problems for diffusive Holling–Tanner population model
Authors:Tetsutaro Shibata
Affiliation:Laboratory of Mathematics, Institute of Engineering, Hiroshima University, Japan
Abstract:We consider the equation which is called Holling–Tanner population model urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0001 where urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0002 is a bifurcation parameter and urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0003 are unknown constants. In this paper, we determine the unknown constants urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0004 from the asymptotic behavior of the bifurcation curve urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0005, where urn:x-wiley:0025584X:media:mana201500144:mana201500144-math-0006.
Keywords:Asymptotic behavior of bifurcation curve  Holling–  Tanner population model  inverse problems  34C23  34F10
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