Hopf bifurcation analysis in a predator-prey model with two time delays and stage structure for the prey

DOI10.1186/s13662-018-1705-9zbMath1446.37092OpenAlexW2884853218WikidataQ115518824 ScholiaQ115518824MaRDI QIDQ1712460

Miao Peng, Zhengdi Zhang

Publication date: 22 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1705-9

zbMATH Keywords

time delaylocal stabilityHopf bifurcationpredator-prey modelstage structure

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (3)

Qualitative analysis in a delayed van der Pol oscillator ⋮ Hopf bifurcation analysis in a predator-prey model with time delay and food subsidies ⋮ Stability and Hopf bifurcation in a prey-predator model with memory-based diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Effects of supplying alternative food in a predator-prey model with harvesting
• Hopf bifurcation analysis of a delayed diffusive predator-prey system with nonconstant death rate
• Stability and Hopf bifurcation analysis of a ratio-dependent predator-prey model with two time delays and Holling type III functional response
• Theory of functional differential equations. 2nd ed
• Stability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function
• Hybrid control of Hopf bifurcation in a Lotka-Volterra predator-prey model with two delays
• Modeling the dynamics of stage-structure predator-prey system with Monod-Haldane type response function
• Bifurcation analysis for Chen's system with delayed feedback and its application to control of chaos
• An analytical method for Mathieu oscillator based on method of variation of parameter
• A bifurcation path to chaos in a time-delay fisheries predator-prey model with prey consumption by immature and mature predators
• A Filippov system describing the effect of prey refuge use on a ratio-dependent predator-prey model
• Stability and Hopf bifurcation for a delayed predator-prey model with disease in the prey
• BIFURCATION IN A PIECEWISE LINEAR CIRCUIT WITH SWITCHING BOUNDARIES

This page was built for publication: Hopf bifurcation analysis in a predator-prey model with two time delays and stage structure for the prey