Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model

Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model

The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can b...

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Veröffentlicht in:Proceedings of the American Mathematical Society 2021-09, Vol.149 (9), p.3781-3794
Hauptverfasser: Ni, Wenjie, Shi, Junping, Wang, Mingxin
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creator Ni, Wenjie
Shi, Junping
Wang, Mingxin
description The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can be adapted for other spatially heterogeneous consumer-resource models.
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title Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
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