Positive periodic solution of a more realistic three-species Lotka-Volterra model with delay and density regulation

DOI10.1016/J.CHAOS.2007.10.027zbMath1198.34141OpenAlexW1981522677WikidataQ110791438 ScholiaQ110791438MaRDI QIDQ602240

Huihai Mei, Sun Wen, Shi-hua Chen

Publication date: 4 November 2010

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2007.10.027

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Periodic solutions to functional-differential equations (34K13) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (4)

Permanence and extinction of a three-species ratio-dependent food chain model with delay and prey diffusion ⋮ The dynamics of a predator-prey system with state-dependent feedback control ⋮ Extinction and permanence of a three-species Lotka-Volterra system with impulsive control strategies ⋮ Existence of periodic solutions for a delayed ratio-dependent three-species predator-prey diffusion system on time scales

Cites Work

• Delay differential equations: with applications in population dynamics
• Harmless delays for uniform persistence
• Coincidence degree, and nonlinear differential equations
• Existence, uniqueness and asymptotic stability of periodic solutions of periodic functional differential systems
• Chaos in seasonally perturbed ratio-dependent prey--predator system.
• Stability and Hopf bifurcations in a competitive Lotka--Volterra system with two delays
• The existence of periodic solutions of the \(n\)-species Lotka-Volterra competition systems with impulsive
• The study of predator--prey system with defensive ability of prey and impulsive perturbations on the predator
• Persistence and global stability for a three-species ratio-dependent predator-prey system with time delays in two-patch environments
• Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses
• Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
• Unnamed Item

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