Global dynamics of a ratio-dependent Holling-Tanner predator-prey system

DOI10.1016/j.jmaa.2017.11.057zbMath1384.34056OpenAlexW2773382985WikidataQ115570317 ScholiaQ115570317MaRDI QIDQ1688849

Wei Ding, Wenzhang Huang

Publication date: 11 January 2018

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.11.057

zbMATH Keywords

global dynamicsratio-dependentPoincaré-Bendixson theoremexistence and nonexistence of periodic solution

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60)

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Cites Work

• Stability and Hopf bifurcation in a delayed ratio dependent Holling-Tanner type model
• Qualitative analysis of a ratio-dependent Holling-Tanner model
• Limit cycles in the Holling-Tanner model
• Global qualitative analysis of a ratio-dependent predator-prey system
• Stability and bifurcation in a delayed Holling-Tanner predator-prey system with ratio-dependent functional response
• Dynamical analysis of a delayed ratio-dependent Holling-Tanner predator-prey model
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Dynamics of a Predator-Prey Model
• Global Stability for a Class of Predator-Prey Systems
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