Exponential convergence for a class of Nicholson's blowflies model with multiple time-varying delays

DOI10.1016/J.NONRWA.2011.01.006zbMath1220.34106OpenAlexW2005784770MaRDI QIDQ546181

Mingquan Yang

Publication date: 24 June 2011

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.01.006

zbMATH Keywords

solutionequilibriumexponential convergencetime-varying delaysNicholson's blowflies model

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Population dynamics (general) (92D25) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Stationary solutions of functional-differential equations (34K21)

Related Items (11)

Mean-square almost periodic solution for impulsive stochastic Nicholson's blowflies model with delays ⋮ Analysis of stochastic Nicholson-type delay system under Markovian switching on patches ⋮ Positive almost periodic solution for a class of Nicholson's blowflies model with a linear harvesting term ⋮ Global exponential stability of non-autonomous Nicholson-type delay systems ⋮ Existence of almost periodic solution for neutral Nicholson blowflies model ⋮ Global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays ⋮ Positive almost periodic solution for impulsive Nicholson's blowflies model with multiple linear harvesting terms ⋮ On positive periodic solution for the delay Nicholson's blowflies model with a harvesting term ⋮ Convergence and permanence of a delayed Nicholson's blowflies model with feedback control ⋮ Oscillation analysis ofθ-methods for the Nicholson's blowflies model ⋮ Further results on exponential stability of functional differential equations

Cites Work

• Unnamed Item
• Global dynamics of Nicholson-type delay systems with applications
• Convergence for a class of non-autonomous Nicholson's blowflies model with time-varying coefficients and delays
• Existence and global attractivity of positive periodic solutions for the impulsive delay Nicholson's blowflies model
• Existence of positive periodic solutions for a generalized Nicholson's blowflies model
• Global attractivity of the diffusive Nicholson blowflies equation with Neumann boundary condition: A non-monotone case
• Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays
• Nicholson's blowflies differential equations revisited: main results and open problems
• Global attractivity in population dynamics
• Introduction to functional differential equations
• Oscillation and global attractivity in a discrete model of Nicholson's blowflies

This page was built for publication: Exponential convergence for a class of Nicholson's blowflies model with multiple time-varying delays