A lyapunov-krasovskii functional for a complex system of delay-differential equations

被引:0
作者
Badralexi, Irina [1 ]
Halanay, Andrei [1 ]
Radulescu, Ileana Rodica [1 ]
机构
[1] University Politehnica of Bucharest, Romania
来源
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2015年 / 77卷 / 02期
关键词
Diseases - Differential equations;
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摘要
This paper introduces a complex model that describes the competition between the populations of healthy and leukemic cells and the inuence of the T-lymphocytes on the evolution of leukemia. The system consists of 5 delay differential equations derived from a Mackey-Glass approach. The main results of this work center around suffcient linear stability conditions for a nontrivial equilibrium point. These conditions arise from the construction of a Lyapunov-Krasovskii functional.
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页码:9 / 18
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