Title
The Study Of Global Stability Of A Diffusive Holling-Tanner Predator-Prey Model
Keywords
Comparison principle; Diffusive predator-prey systems; Global asymptotic stability; Positive equilibrium solution
Abstract
In this paper we study the global stability of diffusive predator-prey system of Holling-Tanner type in a bounded domain Ω ⊂ RN with no-flux boundary condition. By using a novel approach, we establish much improved global asymptotic stability of the unique positive equilibrium solution than works in literature. We also show the result can be extended to more general type of systems with heterogeneous environment.
Publication Date
7-1-2016
Publication Title
Applied Mathematics Letters
Volume
57
Number of Pages
132-138
Document Type
Article
Personal Identifier
scopus
DOI Link
https://doi.org/10.1016/j.aml.2016.01.017
Copyright Status
Unknown
Socpus ID
84957935741 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/84957935741
STARS Citation
Qi, Yuanwei and Zhu, Yi, "The Study Of Global Stability Of A Diffusive Holling-Tanner Predator-Prey Model" (2016). Scopus Export 2015-2019. 2660.
https://stars.library.ucf.edu/scopus2015/2660