Existence and exponential convergence of almost periodic positive solution for Nicholson's blowflies discrete model with linear harvesting term

DOI10.1002/mma.2979zbMath1317.39023OpenAlexW2079872928MaRDI QIDQ2931033

Zhijian Yao

Publication date: 21 November 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2979

zbMATH Keywords

uniquenessalmost periodic solutionexponential convergencecontraction mappingharvesting termdiscrete Nicholson's blowflies model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30) Almost periodic solutions of difference equations (39A24)

Related Items (5)

Almost periodic solution of a discrete Nicholson's blowflies model with delay and feedback control ⋮ Pseudo-almost periodic solutions for a discrete Nicholson's blowflies model with harvesting term ⋮ On periodic solutions of a discrete Nicholson's dual system with density-dependent mortality and harvesting terms ⋮ Effect of decimation on positive periodic solutions of discrete generalized Nicholson's blowflies models with multiple time-varying delays ⋮ Existence and exponential stability of the unique positive almost periodic solution for impulsive Nicholson's blowflies model with linear harvesting term

Cites Work

• Unnamed Item
• Unnamed Item
• On Riemann-Liouville and Caputo derivatives
• Global dynamics of Nicholson-type delay systems with applications
• The existence and uniqueness of positive periodic solutions of Nicholson-type delay systems
• On positive periodic solution for the delay Nicholson's blowflies model with a harvesting term
• Positive periodic solutions of delayed Nicholson's blowflies models with a nonlinear density-dependent mortality term
• Convergence for a class of non-autonomous Nicholson's blowflies model with time-varying coefficients and delays
• Almost periodic solutions of a nonlinear ecological model
• On almost periodic solutions of logistic delay differential equations with almost periodic time dependence
• 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
• Nicholson's blowflies differential equations revisited: main results and open problems
• Almost periodic solutions of \(N\)-dimensional impulsive competitive systems
• Almost periodic differential equations
• Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations
• Liapunov functions and almost periodic solutions for almost periodic systems
• Global attractivity in nicholson's blowflies
• Almost periodic solutions of neutral functional differential equations

This page was built for publication: Existence and exponential convergence of almost periodic positive solution for Nicholson's blowflies discrete model with linear harvesting term