Pseudo almost periodic dynamics of delay Nicholson's blowflies model with a linear harvesting term

2014 ◽  
Vol 38 (6) ◽  
pp. 1178-1189 ◽  
Author(s):  
Lian Duan ◽  
Lihong Huang
Keyword(s):  
Almost Periodic ◽  
Nicholson’S Blowflies Model ◽  
Periodic Dynamics ◽  
Pseudo Almost Periodic ◽  
Linear Harvesting Term

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.

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