Delay‐dependent criteria on the global attractivity of Nicholson's blowflies model with patch structure |
| |
| Authors: | Renwei Jia Zhiwen Long Mingquan Yang |
| |
| Affiliation: | 1. College of Mathematics and Computational Science, Hunan University of Arts and Science, Changde, Hunan, China;2. College of Mathematics and Finance, Hunan Institute of Humanities, Science and Technology, Loudi, China;3. Nanhu College, Jiaxing University, Jiaxing, Zhejiang, China |
| |
| Abstract: | In this paper, we investigate the effect of delay on the asymptotic behavior of Nicholson's blowflies model with patch structure and multiple time‐varying delays. By using the fluctuation lemma and some differential inequality technique, delay‐dependent criteria are obtained for the global attractivity of the addressed system. Meanwhile, some numerical examples are given to illustrate the feasibility of the theoretical results. Copyright © 2017 John Wiley & Sons, Ltd. |
| |
| Keywords: | Nicholson's blowflies model global attractivity patch structure positive equilibrium point effect of delay |
|
|
