Pseudo almost periodic solutions for a Nicholson's blowflies model with mortality term
H. Ding, M. Ji
College of Mathematics and Information Science, Jiangxi Normal University Nanchang, Jiangxi 330022, People’s Republic of China
G. M. N’Guérékata
Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M.D. 21251, USA
Received on January 15, 2016
Accepted on March 2, 2016
Communicated by Maximilian F. Hasler
| Abstract. This article is concerned with a discrete Nicholson’s blowflies model, which involvesa nonlinear density-dependent mortality term. By using fixed point theorem and Lyapunov functional method, we obtain the existence and locally exponential stability of pseudo almost periodic solutions for the addressed Nicholson’s blowflies model. In addition, an example is given to illustrate our results. | |
| Keywords: | pseudo almost periodic, Nicholson’s blowflies model, exponential stability. |
| 2010 Mathematics Subject Classification: 39A24, 34C27. | |