Existence and finite-time stability of a unique almost periodic positive solution for fractional-order Lasota Wazewska red blood cell models

• 作者: Bing Li Yaolu Wang Yongkun Li
• 来源期刊: 生物数学学报:英文版
• 学科: 数学
• 关键词: Fractional-order Lasota-Wazewska red blood cell models almost periodic positive solutions fixed point theorem in cones finite-time stability
• 年，卷（期）: 2020,（2）
• 页码范围: 103-118
• 页数: 16页
• 分类号: O17

摘要

In this paper,we are concerned with a class of fractional-order Lasota-Wazewska red blood ccll modcls.By applying a fixed point theorem on a normal cone,we first obtain the sufficient conditions for the existence of a unique almost periodic positive solution of the considered models.Then,considering that all of the red blood cells in animals survive in a finite-time interval,we study the finite-time stability of the almost periodic positive solution by using some inequality techniques.Our results and methods of this paper are new.Finally,we give numerical examples to show the feasibility of the obtained results.