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

Author(s)
Ni, Wenjie
Shi, Junping
Wang, Mingxin
Publication Date
2021
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.
Citation
Proceedings of the American Mathematical Society, 149(9), p. 3781-3794
ISSN
1088-6826
0002-9939
Link
https://hdl.handle.net/1959.11/31911
Publisher
American Mathematical Society
Title
Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model
Type of document
Journal Article
Entity Type
Publication

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