Electron. J. Diff. Equ., Vol. 2015 (2015), No. 180, pp. 1-6.

Existence of positive almost periodic solutions for a Nicholson's blowflies model

Hui-Sheng Ding, Jehad Alzabut

Abstract:
This article concerns the existence of almost periodic solutions for a Nicholson's blowflies model with a nonlinear density-dependent mortality term. By utilizing a fixed point theorem in cones, we establish the existence of almost periodic solutions. As one will see, our main assumptions here are not the as in [10]. Two examples are given to illustrate our existence result.

Submitted April 21, 2015. Published June 29, 2015.
Math Subject Classifications: 34K14, 34C25, 34C27.
Key Words: Nicholson's blowflies model; almost periodic solution.

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Hui-Sheng Ding
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: dinghs@mail.ustc.edu.cn
Jehad Alzabut
Department of Mathematics and Physical Sciences
Prince Sultan University
P. O. Box 66833, 11586 Riyadh, Saudi Arabia
email: jalzabut@psu.edu.sa

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