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一类具有非线性发生率的病毒动力学模型分析(英文) 被引量：3

Analysis for a Kind of Viral Dynamical Model with Nonlinear Incidence Rate
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摘要 研究了一类具有非线性发生率的病毒动力学模型,讨论了模型解的有界性、平衡点的存在性和稳定性、系统的持续性等,得到了病毒清除和持续的阈值,并讨论了药物治疗对体内病毒数量的影响. A kind of viral dynamical model with nonlinear incidence rate was investigated. Mathematical analysis of the model with regard to boundedness of solutions, nature of equilibria, permanence and stability were performed. The threshold conditions for virus be cleared and persisting were obtained. The effectiveness of drug treatment on virus was also discussed.
作者 郑丽丽 王娟
机构地区 信阳师范学院数学与信息科学学院
出处 《信阳师范学院学报（自然科学版）》 CAS 北大核心 2013年第4期481-484,共4页 Journal of Xinyang Normal University(Natural Science Edition)
基金 Natural Science Foundation of Henan Province(112300410056) Natural Science Foundation of Henan Ministry of Education(13A110769)
关键词 病毒模型 阈值条件 持续性 稳定性 viral model threshold condition permanence stability
分类号 O175 [理学—基础数学]
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参考文献6

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同被引文献28

  • 1Rogers D J,Onstad D W,Killick-Kendrick R.The dynamics of vector-transmitted diseases in human communities[J].Philosophical Transactions of the Royal Society of London.Biological Sciences:B,1988,321(1207):513-539.
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  • 6Cai L M,Li X Z,Li Z.Dynamical behavior of an epidemic model for a vector-borne disease with direct transmission[J].Chaos,Solitons & Fractals,2013,46:54-64.
  • 7Mpolya E A,Yashima K,Ohtsuki H,et al.Epidemic dynamics of a vector-borne disease on a villages-and-city star network with commuters[J].Journal of Theoretical Biology,2014,343:120-126.
  • 8Wei H M,Li X Z,Martcheva M.An epidemic model of a vector-borne disease with direct transmission and time delay[J].Journal of Mathematical Analysis and Applications,2008,342(2):895-908.
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  • 10Perelson A S,Nelson P W.Mathematical analysis of HIV-1 dynamics in vivo[J].SIAM Review,1999,41(1):3-44.

引证文献3

二级引证文献4

信阳师范学院学报（自然科学版）
2013年 第4期

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