This paper is concerned with a time-varying delayed hematopoiesis model with discontinuous harvesting terms. The harvesting terms considered in our hematopoiesis model are discontinuous which are totally different from the previous continuous, Lipschitz continuous or even smooth ones. By means of functional differential inclusions theory, inequality technique and the non-smooth analysis theory with Lyapunov-like approach, some new sufficient criteria are given to ascertain the existence and globally exponential stability of the anti-periodic solution for our proposed hematopoiesis model. Some previously known works are significantly extended and complemented. Moreover, simulation results of two topical numerical examples are also delineated to demonstrate the effectiveness of the theoretical results.

本文涉及具有不连续收获条件的时变延迟造血模型。在我们的造血模型中考虑的收获期是不连续的，这与之前的连续性，利普希茨连续性甚至平稳性完全不同。借助泛函微分包含理论，不等式技术和基于Lyapunov的非光滑分析理论，给出了一些新的充分标准，以确定我们提出的造血模型的反周期解的存在性和全局指数稳定性。一些先前已知的作品得到了显着扩展和补充。此外，还描绘了两个局部数值示例的仿真结果，以证明理论结果的有效性。