EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON'S BLOWFLIES MODELS WITH PATCH STRUCTURE AND LINEAR HARVESTING TERMS OB TIME SCALES

DOI10.1142/S1793557112500386zbMath1264.34177MaRDI QIDQ4900107

Li Yang, Li Yong Kun

Publication date: 11 January 2013

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

stabilityLyapunov functionalmost periodic solutiontime scaleNicholson's blowflies model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20) Dynamic equations on time scales or measure chains (34N05)

Related Items (1)

Positive periodic solutions in shifts \(\gamma_\pm\) for a nonlinear first-order functional dynamic equation on time scales

Cites Work

• 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
• Global asymptotic behaviour for a Nicholson model with patch structure and multiple delays
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• 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
• Almost periodic solutions for an impulsive delay Nicholson's blowflies model
• Global stability of a class of Nicholson's blowflies model with patch structure and multiple time-varying delays
• Existence and roughness of exponential dichotomies of linear dynamic equations on time scales
• Nicholson's blowflies differential equations revisited: main results and open problems

This page was built for publication: EXISTENCE AND STABILITY OF ALMOST PERIODIC SOLUTIONS FOR NICHOLSON'S BLOWFLIES MODELS WITH PATCH STRUCTURE AND LINEAR HARVESTING TERMS OB TIME SCALES