Qualitative analysis for a predator prey system with Holling type III functional response and prey refuge

DOI10.1155/2012/678957zbMath1258.92040OpenAlexW2097800908WikidataQ58700702 ScholiaQ58700702MaRDI QIDQ1925520

Yepeng Xing, Xia Liu

Publication date: 18 December 2012

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/678957

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23)

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Cites Work

• Chaos and Hopf bifurcation analysis for a two species predator-prey system with prey refuge and diffusion
• A new class of quadratic systems
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• Criterion of Hopf bifurcations without using eigenvalues
• Modelling and analysis of a harvested prey--predator system incorporating a prey refuge