The Hopf bifurcation for a predator-prey system with \(\theta\)-logistic growth and prey refuge

DOI10.1155/2013/168340zbMath1303.34067OpenAlexW2010429899WikidataQ58915418 ScholiaQ58915418MaRDI QIDQ2016670

Shaoli Wang, Zhihao Ge

Publication date: 20 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/168340

zbMATH Keywords

positive equilibriumnormal form theorycenter manifold reduction

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

Related Items

Stability analysis for a time-delayed nonlinear predator-prey model, Modeling complex systems with particles refuge by thermostatted kinetic theory methods, Bifurcations in a predator-prey model with general logistic growth and exponential fading memory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hopf bifurcation of a predator-prey system with stage structure and harvesting
• Effect of prey refuge on a harvested predator-prey model with generalized functional response
• 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
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a constant prey refuge
• Theory of functional differential equations. 2nd ed
• Effects of optimal antipredator behavior of prey on predator-prey dynamics: The role of refuges
• Analysis of logistic growth models
• A qualitative study on general Gause-type predator-prey models with constant diffusion rates
• Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters