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Existence and Nonexistence of Positive Periodic Solution for Impulsive Nicholson's Blowflies Model

✍ Scribed by Yao, Zhijian

Book ID
122762169
Publisher
Elsevier
Year
2012
Weight
147 KB
Volume
1
Category
Article
ISSN
2212-6716

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πŸ“œ SIMILAR VOLUMES

Almost periodic solutions for an impulsi
Almost periodic solutions for an impulsive delay Nicholson’s blowflies model
✍ Jehad O. Alzabut πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 422 KB

By means of the contraction mapping principle and Gronwall-Bellman's inequality, we prove the existence and exponential stability of positive almost periodic solution for an impulsive delay Nicholson's blowflies model. The main results are illustrated by an example.

Existence of time periodic solutions for
Existence of time periodic solutions for the Nicholson's blowflies model with Newtonian diffusion
✍ Ying Yang; Ran Zhang; Chunhua Jin; Jingxue Yin πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 241 KB πŸ‘ 1 views

## Abstract This paper is concerned with the existence of periodic solutions of the Nicholson's blowflies model with Newtonian diffusion. By constructing some suitable Lyapunov functionals and combining with Leray–Schauder fixed point theorem, we establish the existence of nonnegative time periodic