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Stage-structured hematopoiesis model with delays in an almost periodic environment
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-04-21 , DOI: 10.1016/j.aml.2021.107336 Hui Zhou , Wen Wang , Liu Yang
中文翻译:
在几乎周期性的环境中具有延迟的阶段结构造血模型
更新日期:2021-04-29
Applied Mathematics Letters ( IF 2.9 ) Pub Date : 2021-04-21 , DOI: 10.1016/j.aml.2021.107336 Hui Zhou , Wen Wang , Liu Yang
In this article, we focus on stage-structured hematopoiesis model with time-dependent delays in an almost periodic environment. A threshold dynamic is characterized by basic reproduction ratio . By making use of skew-product semiflow approach, we show that the population is extinct if . The existence of a unique positive almost periodic solution is derived when , meanwhile, the global stability of the solution is verified under weaker conditions.
中文翻译:
在几乎周期性的环境中具有延迟的阶段结构造血模型
在本文中,我们关注在几乎周期性的环境中具有时间依赖性延迟的阶段结构化造血模型。阈值动态的特征在于基本再现率。通过使用偏积半流方法,我们证明了种群灭绝,如果。当以下情况时,存在唯一的正的近似周期解的存在,同时,在较弱的条件下验证了该解决方案的全局稳定性。