数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (5): 1427-1445.doi: 10.1016/S0252-9602(14)60094-1

• 论文 • 上一篇    下一篇

ON GLOBAL STABILITY OF A NONRESIDENT COMPUTER VIRUS MODEL

Yoshiaki MUROYA|Huaixing LI|Toshikazu KUNIYA   

  1. Department of Mathematics, Waseda University 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan; College of Sciences, Tianjin University of Technology, Tianjin 300384, China; Graduate School of Mathematical Sciences, University of Tokyo 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan  | 
  • 收稿日期:2013-05-06 修回日期:2013-08-29 出版日期:2014-09-20 发布日期:2014-09-20
  • 通讯作者: Yoshiaki MUROYA,ymuroya@waseda.jp E-mail:ymuroya@waseda.jp;huaixingli@gmail.com;tkuniya@ms.u-tokyo.ac.jp
  • 基金资助:

    The first author is supported by Scientific Research (c), No. 24540219 of Japan Society for the Promotion of Science. The last author is supported by Grant-in-Aid for Research Activity Start-up, No. 25887011 of Japan Society for the Promotion of Science.

ON GLOBAL STABILITY OF A NONRESIDENT COMPUTER VIRUS MODEL

Yoshiaki MUROYA|Huaixing LI|Toshikazu KUNIYA   

  1. Department of Mathematics, Waseda University 3-4-1 Ohkubo, Shinjuku-ku, Tokyo 169-8555, Japan; College of Sciences, Tianjin University of Technology, Tianjin 300384, China; Graduate School of Mathematical Sciences, University of Tokyo 3-8-1 Komaba Meguro-ku, Tokyo 153-8914, Japan
  • Received:2013-05-06 Revised:2013-08-29 Online:2014-09-20 Published:2014-09-20
  • Contact: Yoshiaki MUROYA, ymuroya@waseda.jp E-mail:ymuroya@waseda.jp;huaixingli@gmail.com;tkuniya@ms.u-tokyo.ac.jp
  • Supported by:

    The first author is supported by Scientific Research (c), No. 24540219 of Japan Society for the Promotion of Science. The last author is supported by Grant-in-Aid for Research Activity Start-up, No. 25887011 of Japan Society for the Promotion of Science.

摘要:

In this paper, we establish new sufficient conditions for the infected equilibrium of a nonresident computer virus model to be globally asymptotically stable. Our results extend two kind of known results in recent literature.

关键词: nonresident computer virus model, permanence, global asymptotic stability, Lyapunov function

Abstract:

In this paper, we establish new sufficient conditions for the infected equilibrium of a nonresident computer virus model to be globally asymptotically stable. Our results extend two kind of known results in recent literature.

Key words: nonresident computer virus model, permanence, global asymptotic stability, Lyapunov function

中图分类号: 

  • 34D05