Stability property for the predator-free equilibrium point of predator-prey systems with a class of functional response and prey refuges

DOI10.1155/2012/148942zbMath1250.34036OpenAlexW2013135457WikidataQ58700345 ScholiaQ58700345MaRDI QIDQ444228

Yumin Wu, Fengde Chen, Zhaozhi Ma

Publication date: 14 August 2012

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

Full work available at URL: https://doi.org/10.1155/2012/148942

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)

Related Items (6)

Permanence and global attractivity of a nonautonomous modified Leslie-gower predator-prey model with Holling-type II schemes and a prey refuge ⋮ Dynamic behaviors of a nonautonomous predator-prey system with Holling type II schemes and a prey refuge ⋮ Dynamic behaviors of a Lotka-Volterra predator-prey model incorporating a prey refuge and predator mutual interference ⋮ Global asymptotic stability of a predator-prey model with modified Leslie-Gower and Holling-type II schemes ⋮ Dynamic behaviors of a nonautonomous modified Leslie-Gower predator-prey model with Holling-type III schemes and a prey refuge ⋮ The influence of fear effect to the Lotka-Volterra predator-prey system with predator has other food resource

Cites Work

• Effect of prey refuge on a harvested predator-prey model with generalized functional response
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
• Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
• Extinction in a two dimensional Lotka-Volterra system with infinite delay
• Qualitative analysis of a predator-prey model with constant-rate prey harvesting incorporating a constant prey refuge
• Effects of prey refuges on a predator-prey model with a class of functional responses: The role of refuges
• On a Leslie-Gower predator-prey model incorporating a prey refuge
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• Stability analysis of a prey-predator model incorporating a prey refuge
• Modelling and analysis of a harvested prey--predator system incorporating a prey refuge

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