Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Analysis of PDEs
2020-07-31 v1
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.
Keywords
Cite
@article{arxiv.2007.15056,
title = {Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model},
author = {Wenjie Ni and Junping Shi and Mingxin Wang},
journal= {arXiv preprint arXiv:2007.15056},
year = {2020}
}
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14 pages