Global exponential stability of periodic solutions in a nonsmooth model of hematopoiesis with time‐varying delays |
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| Authors: | Yanxiang Tan Mengmeng Zhang |
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| Institution: | 1. College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China;2. School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, Hunan, China;3. School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, Anhui, China |
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| Abstract: | In this paper, we study a model of hematopoiesis with time‐varying delays and discontinuous harvesting, which is described by a nonsmooth dynamical system. Based on a newly developed method, nonsmooth analysis, and the generalized Lyapunov method, some new delay‐dependent criteria are established to ensure the existence and global exponential stability of positive periodic solutions. Moreover, an example with numerical simulations is presented to demonstrate the effectiveness of theoretical results. Copyright © 2017 John Wiley & Sons, Ltd. |
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| Keywords: | hematopoiesis model periodic solution global exponential stability discontinuous harvesting Lyapunov function |
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