Global exponential convergence in a delayed almost periodic Nicholson's blowflies model with discontinuous harvesting

2017 ◽  
Vol 41 (5) ◽  
pp. 1954-1965 ◽  
Author(s):  
Lian Duan ◽  
Xianwen Fang ◽  
Chuangxia Huang
Keyword(s):  
Exponential Convergence ◽  
Almost Periodic ◽  
Nicholson’S Blowflies Model ◽  
Global Exponential Convergence

Almost periodic solution of Nicholson's blowflies model with linear harvesting term and impulsive effects

2015 ◽  
Vol 08 (03) ◽  
pp. 1550053
Author(s):  
Zhijian Yao
Keyword(s):  
Fixed Point ◽  
Positive Solution ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Exponential Convergence ◽  
Sufficient Conditions ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Nicholson’S Blowflies Model ◽  
Linear Harvesting Term

This paper is concerned with impulsive Nicholson's blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional.

EXPONENTIAL CONVERGENCE OF CELLULAR NEURAL NETWORKS WITH CONTINUOUSLY DISTRIBUTED DELAYS

2007 ◽  
Vol 17 (12) ◽  
pp. 4403-4408
Author(s):  
BINGWEN LIU ◽  
ZHAOHUI YUAN
Keyword(s):  
Neural Networks ◽  
Periodic Function ◽  
Exponential Convergence ◽  
Sufficient Conditions ◽  
Cellular Neural Networks ◽  
Distributed Delays ◽  
Almost Periodic Function ◽  
Almost Periodic ◽  
Periodic Coefficients ◽  
All Solutions

In this paper the convergence behavior of delayed cellular neural networks without almost periodic coefficients are considered. Some sufficient conditions are established to ensure that all solutions of the networks converge exponentially to an almost periodic function, which are new, and also complement previously known results.

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