Dynamics analysis of Mackey-Glass model with two variable delays.
Dynamics analysis of Mackey-Glass model with two variable delays.
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DOI：
10.3934/mbe.2020249
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发表时间：
2020-06
期刊：
影响因子：
--
通讯作者：
Yanxiang Tan
中科院分区：
文献类型：
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作者：
Yanxiang Tan
Berezansky和Braverman提出的非自治Mackey-Glass模型在两个变时滞情形下的动力学问题是一个开放问题，至今还没有得到很好的研究.本文考虑了该系统所有非振动解关于正平衡点的吸引性和平凡平衡点的全局渐近稳定性。基于涨落引理和微分不等式技巧，建立了两个时滞无关的判据。所得结果改进和补充了一些已发表的结果。最后，通过两个数值算例的计算机仿真验证了本文结果的正确性和有效性。
Dynamics of non-autonomous Mackey-Glass model have not been well documented yet in two variable delays case, which is proposed by Berezansky and Braverman as open problems. This manuscript considers attractivity of all non-oscillating solutions about the positive equilibrium point and the global asymptotical stability of the trivial equilibrium point. Two delay-independent criteria based on the fluctuation lemma and techniques of differential inequality are established. The obtained results improve and complement some published results. Meanwhile, computer simulations of two numerical examples are arranged to illustrate the correctness and effectiveness of the presented results.