Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms

• 作者: Fanchao Kong
• 来源期刊: 生物数学学报:英文版
• 学科: 社会科学
• 关键词: Positive periodic solution BOUNDED DISCONTINUOUS HARVESTING TERMS topological degree theory Lyapunov-like approach global EXPONENTIAL stability convergence
• 年，卷（期）: 2019,（1）
• 页码范围: 195-231
• 页数: 37页
• 分类号: G

摘要

This paper is concerned with the generalized hematopoiesis model with discontinuous harvesting terms.Under the framework of Filippov solution,by means of the differential inclusions and the topological degree theory in set-valued analysis,we have established the existence of the bounded positive periodic solutions for the addressed models.After that,based on the nonsmooth analysis theory w让 h Lyapunov-like approach,we employ a novel argument and derive some new criteria on the uniqueness,global exponential stability of the addressed models and convergence of the corresponding autonomous case of the addressed models.Our results extend previous works on hematopoiesis model to the discontinuous harvesting terms and some corresponding results in the literature can be enriched and extended.In addition,typical examples with numerical simulations are given to illustrate the feasibility and validity of obtained results.