Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay

DOI10.1155/DDNS/2006/19413zbMath1106.92065MaRDI QIDQ871373

Wenxue Li, Xiao-Hua Ding

Publication date: 19 March 2007

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/126962

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Asymptotic properties of solutions to ordinary differential equations (34D05) Computational methods for bifurcation problems in dynamical systems (37M20) Bifurcation theory of functional-differential equations (34K18)

Related Items (11)

On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays ⋮ A new method to investigate almost periodic solutions for an Nicholson's blowflies model with time-varying delays and a linear harvesting term ⋮ Stability of equilibria of exponential type system of three differential equations under stochastic perturbations ⋮ Periodic, nonperiodic, and chaotic solutions for a class of difference equations with negative feedback ⋮ Dynamics of a nonstandard finite-difference scheme for delay differential equations with unimodal feedback ⋮ Impulsive stabilization of delay difference equations and its application in Nicholson's blowflies model ⋮ Stability of equilibrium states for a stochastically perturbed exponential type system of difference equations ⋮ Almost periodic oscillations for delay impulsive stochastic Nicholson's blowflies timescale model ⋮ Existence and convergence dynamics of pseudo almost periodic solutions for Nicholson's blowflies model with time-varying delays and a harvesting term ⋮ Stability of the positive point of equilibrium of Nicholson's blowflies equation with stochastic perturbations: numerical analysis ⋮ Bifurcation analysis of discrete survival red blood cells model

Cites Work

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• Stability and bifurcation of a discrete red blood cell survival model
• Linearized oscillations in population dynamics
• Global attractivity in population dynamics
• Global attractivity in Nicholson's blowflies
• Hopf bifurcation analysis in a delayed Nicholson blowflies equation
• On the stability and uniform persistence of a discrete model of Nicholson's blowflies

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