An approximation for prey-predator models with time delay

DOI10.1016/S0167-2789(97)00124-3zbMath0925.92106OpenAlexW2028338930WikidataQ59319906 ScholiaQ59319906MaRDI QIDQ1373935

Santiago Velasco, José Heleno Faro

Publication date: 26 November 1997

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(97)00124-3

zbMATH Keywords

population dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25)

Related Items (16)

Stimulus-locked responses of two phase oscillators coupled with delayed feedback ⋮ Stability and bifurcation analysis in the delay-coupled nonlinear oscillators ⋮ Existence of positive periodic solutions for nonautonomous predator-prey systems with discrete and continuously distributed delays ⋮ Analysis of bifurcation in a system of \(n\) coupled oscillators with delays ⋮ Dynamics of delay-differential equations modelling immunology of tumor growth ⋮ Existence of positive periodic solutions for a generalized predator-prey model with diffusion feedback controls ⋮ TWOFOLD IMPACT OF DELAYED FEEDBACK ON COUPLED OSCILLATORS ⋮ Driven response of time delay coupled limit cycle oscillators. ⋮ Existence of positive periodic solution for nonautonomous predator-prey system with diffusion and time delay. ⋮ Positive periodic solution of two-species ratio-dependent predator--prey system with time delay in two-patch environment. ⋮ Periodic solutions of a discrete-time nonautonomous predator-prey system with the Beddington-DeAngelis functional response ⋮ Stability and dynamics analysis of time delayed eutrophication ecological model based upon the Zeya reservoir ⋮ Effects of time-lagged niche construction on metapopulation dynamics and environmental heterogeneity ⋮ Time delay effects on coupled limit cycle oscillators at Hopf bifurcation ⋮ BIFURCATIONS DUE TO SMALL TIME-LAG IN COUPLED EXCITABLE SYSTEMS ⋮ Spatiotemporal dynamics of a predation system with time delay and spatial diffusion

Cites Work

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• Delay differential equations: with applications in population dynamics
• A simple model of cannibalism
• The stabilizing role of cannibalism in a predator-prey system
• Effect of dimensionality on Lotka-Volterra predator-prey dynamics: Individual based simulation results
• A universal bifurcation diagram for seasonally perturbed predator-prey models

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