Conditions for global stability of two-species population models with discrete time delay

DOI10.1007/BF02460050zbMath0524.92017OpenAlexW4229714642MaRDI QIDQ594037

V. P. Shukla

Publication date: 1983

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460050

zbMATH Keywords

Lyapunov functionalsequilibrium statespredator-prey modelcompetition modeldiscrete time delaydelay differential systemsglobal stability of two-species population modelssymbiosis model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40)

Related Items (9)

Two delays may not destabilize although either delay can ⋮ A mathematical model with young predation ⋮ Degenerate Lyapunov functionals of a well-known prey–predator model with discrete delays ⋮ Global dynamics and complex patterns in Lotka-Volterra systems: the effects of both local and nonlocal intraspecific and interspecific competitions ⋮ Permanence and global attractivity for competitive Lotka–Volterra systems with delay ⋮ Multiple spatiotemporal coexistence states and Turing-Hopf bifurcation in a Lotka-Volterra competition system with nonlocal delays ⋮ Global stability for multi-species Lotka–Volterra cooperative systems: One hyper-connected mutualistic-species ⋮ The necessary and sufficient condition for global stability of a Lotka-Volterra cooperative or competition system with delays ⋮ \({3/2}\)-type criteria for global attractivity of Lotka--Volterra competition system without instantaneous negative feedbacks

Cites Work

• Unnamed Item
• Unnamed Item
• Differential-difference equations
• Time delays are not necessarily destabilizing
• Time delay in prey-predator models
• Asymptotic solutions of differential equations with time delay in population dynamics
• Functional differential equations

This page was built for publication: Conditions for global stability of two-species population models with discrete time delay