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arXiv · 2007.15056

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

Wenjie Ni·Junping Shi·Mingxin Wang
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Abstract

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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Wenjie Ni, Junping Shi, Mingxin Wang. 2020-07-29. Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model. https://arxiv.org/abs/2007.15056

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