Uniqueness and exponential stability of almost periodic positive solution for Lasota-Wazewska model with impulse and infinite delay

作者：Yao, Zhijian^*

来源：Mathematical Methods in the Applied Sciences, 2015, 38(4): 677-684.

DOI：10.1002/mma.3098

• impulsive Lasota-Wazewska model
• infinite delay
• almost periodic solution
• uniqueness
• exponential stability
• fixed point theorem of decreasing operator

In this paper, impulsive Lasota-Wazewska model with infinite delay is studied. By using fixed point theorem of decreasing operator, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Particularly, we give iterative sequence, which converges to the almost periodic positive solution. Moreover, we investigate exponential stability of the almost periodic positive solution by Liapunov functional.

• 出版日期2015-3-15
• 单位安徽建筑大学