| 一类病毒动力学模型概周期解的存在性 |
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| 引用本文： | 陈晓英,张娜.一类病毒动力学模型概周期解的存在性[J].闽江学院学报,2010,31(5):6-9. |
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| 作者姓名： | 陈晓英 张娜 |
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| 作者单位： | 1. 福州大学数学与计算机科学学院,福建,福州,350002;福州大学至诚学院,福建,福州,350002
2. 福州大学数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省科技创新平台计划项目，闽江学院2008年科技启动项目 |
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| 摘 要： | 研究一类非自治病毒动力学模型的动力学行为.借助于微分不等式获得了保证系统持久的充分性条件;通过构造适当的Lyapunov函数,得到了保证系统存在一致渐近稳定的概周期解的充分性条件.例子和数值模拟表明了结果的可行性.
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| 关 键 词： | 病毒动力学模型 概周期解 一致渐近稳定 |
Almost periodic solution for a viral infection model |
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| CHEN Xiao-ying,ZHANG Na.Almost periodic solution for a viral infection model[J].Journal of Minjiang University,2010,31(5):6-9. |
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| Authors: | CHEN Xiao-ying ZHANG Na |
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| Institution: | 1. College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian,350108,China; 2. Zhicheng College,Fuzhou University,Fuzhou,Fujian 350002,China; ) |
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| Abstract: | In this paper,we study the dynamics of a non-autonomous viral infection model. With the help of the differential inequalities,we show that the system is permanent under some sufficient conditions. By constructing a suitable Lyapunov function,some sufficient conditions are derived for the existence of a uniformly asymptotically stable almost periodic solution. An example together with it＇s numerical simulation is carried out to show the feasibility of the main results. |
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| Keywords: | viral infection model almost periodic solution uniformly asymptotically stability |
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