Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 56, pp. 1-9.

Title: Existence of positive almost-periodic solutions for a
       Nicholson's blowflies model
        
Authors: Qing-Long Liu  (Jiangxi Normal Univ., Nanchang, China)
         Hui-Sheng Ding (Jiangxi Normal Univ., Nanchang, China)

Abstract:
 This article concerns the existence of solutions to a first-order 
 differential equation with time-varying delay, which is known as a
 Nicholson's blowflies model.
 By using fixed a point theorem and the Lyapunov functional method,
 we establish  the existence and locally exponential stability
 of almost periodic solutions for the model.
 Also, we apply our results to two examples, for which some
 earlier results can not be applied.

Submitted October 15, 2012. Published February 21, 2013.
Math Subject Classifications: 34C27, 34K14.
Key Words: Nicholson's blowflies model; almost periodic solution; 
           exponential stability.