New results on existence and exponential stability of the unique positive almost periodic solution for Hematopoiesis model

2015 ◽  
Vol 39 (23-24) ◽  
pp. 7113-7123 ◽  
Author(s):  
Zhijian Yao
Keyword(s):  
Periodic Solution ◽  
Exponential Stability ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Positive Almost Periodic Solution ◽  
Hematopoiesis Model

ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAY

2012 ◽  
Vol 05 (01) ◽  
pp. 1250003 ◽  
Author(s):  
YONGKUN LI ◽  
TIANWEI ZHANG
Keyword(s):  
Periodic Solution ◽  
Time Delay ◽  
Sufficient Conditions ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Difference Systems ◽  
Positive Almost Periodic Solution ◽  
Hematopoiesis Model ◽  
Delay Difference ◽  
Appl Math

In this paper, we consider the discrete Hematopoiesis model with a time delay: [Formula: see text] Sufficient conditions for the existence of a unique uniformly asymptotically stable positive almost periodic solution are obtained by the work of [S. N. Zhang, G. Zheng, Almost periodic solutions of delay difference systems, Appl. Math. Comput.131 (2002) 497–516]. Some examples are considered to illustrate the main results.

Existence and exponential stability of almost periodic positive solution for host-macroparasite difference model

2016 ◽  
Vol 09 (02) ◽  
pp. 1650028
Author(s):  
Zhijian Yao
Keyword(s):  
Periodic Solution ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Exponential Stability ◽  
Positive Solution ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Almost Periodic Solution ◽  
Almost Periodic ◽  
Difference Model

This paper is concerned with a host-macroparasite difference model. By applying the contraction mapping fixed point theorem, we prove the existence of unique almost periodic positive solution. Moreover, we investigate the exponential stability of almost periodic solution by means of Lyapunov functional.

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