Global stability and Hopf bifurcation on a predator-prey system with diffusion and delays

DOI10.1216/RMJ-2008-38-5-1685zbMath1176.34104WikidataQ115517576 ScholiaQ115517576MaRDI QIDQ1011093

Yuquan Wang

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilitydiffusionLyapunov functiondelayHopf bifurcationpermanencepredator-prey systemHolling II functional response

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) 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)

Cites Work

• Global stability in generalized Lotka-Volterra diffusion systems
• Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
• Predator-prey dynamics in models of prey dispersal in two-patch environments
• Multiple limit cycles and global stability in predator-prey model
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Global stability and Hopf bifurcation on a predator-prey system with diffusion and delays