Qualitative analysis of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth
type: Item
instance of: scholarly article
title: Qualitative analysis of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth
zbMATH Open document ID: 1264.34170
DOI: 10.1155/2013/267173
author: Zongmin Yue
author: Wen-Juan Wang
published in: Discrete Dynamics in Nature and Society
publication date: 2013-06-13T00:00:00Z
review text: Summary: We investigate the dynamics of a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth subject to zero-flux boundary condition. Some qualitative properties, including the dissipation, persistence, and local and global stability of positive constant solution, are discussed. Moreover, we give the refined a priori estimates of positive solutions and derive some results for the existence and nonexistence of nonconstant positive steady state.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 6175058
zbMATH Keywords: positive solutions
zbMATH Keywords: global stability
Wikidata QID: Q58921464
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/267173
OpenAlex ID: W1969660742
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description: scientific article; zbMATH DE number 6175058