Stability and Hopf bifurcation for a ratio-dependent predator-prey system with stage structure and time delay

DOI10.1186/s13662-015-0548-xzbMath1422.92132OpenAlexW1826036052WikidataQ59434538 ScholiaQ59434538MaRDI QIDQ1721887

Ling-Shu Wang, Guang-Hui Feng

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1186/s13662-015-0548-x

zbMATH Keywords

stabilitytime delayHopf bifurcationstage structurepredator-prey system

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (4)

Stability and Hopf bifurcation of a modified predator-prey model with a time delay and square root response function ⋮ Periodic pulse control of Hopf bifurcation in a fractional-order delay predator-prey model incorporating a prey refuge ⋮ Bifurcation analysis in a discrete predator-prey model with herd behaviour and group defense ⋮ Transcritical bifurcation and Neimark-Sacker bifurcation of a discrete predator-prey model with herd behaviour and square root functional response

Cites Work

• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
• Stability and bifurcation analysis of a ratio-dependent predator-prey model with time delay
• Theory of functional differential equations. 2nd ed
• Global qualitative analysis of a ratio-dependent predator-prey system
• The study of a ratio-dependent predator-prey model with stage structure in the prey
• The effect of stage-structure on the permanence of a predator-prey system with time delay
• Global analyses in some delayed ratio-dependent predator-prey systems
• Analysis of a Delayed Two-Stage Population Model with Space-Limited Recruitment

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