Dynamics of a delayed SEIRS-V model on the transmission of worms in a wireless sensor network

被引:0
作者
Zizhen Zhang
Fengshan Si
机构
[1] Anhui University of Finance and Economics,School of Management Science and Engineering
来源
Advances in Difference Equations | / 2014卷
关键词
Hopf bifurcation; delay; SEIRS-V model; stability; periodic solution; wireless sensor network;
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学科分类号
摘要
A delayed SEIRS-V model on the transmission of worms in a wireless sensor network is considered. Choosing delay as a bifurcation parameter, the existence of the Hopf bifurcation of the model is investigated. Furthermore, we use the normal form method and the center manifold theorem to determine the direction of the Hopf bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical simulations are presented to verify the theoretical results.
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  • [1] Yuan H(2008)Network virus epidemic model with the point-to-group information propagation Appl. Math. Comput 206 357-367
  • [2] Chen G(2012)A novel computer virus propagation model and its dynamics Int. J. Comput. Math 89 2307-2314
  • [3] Yang LX(2013)A computer virus spreading model based on resource limitations and interaction costs J. Syst. Softw 86 801-808
  • [4] Yang XF(2010)Fuzzy epidemic model for the transmission of worms in computer network Nonlinear Anal., Real World Appl 11 4335-4341
  • [5] Wen LS(2011)Dynamic model of worms with vertical transmission in computer network Appl. Math. Comput 217 8438-8446
  • [6] Liu JM(2013)A computer virus model with graded cure rates Nonlinear Anal., Real World Appl 14 414-422
  • [7] Huang CY(2014)Dynamic model of worm propagation in computer network Appl. Math. Model 38 2173-2179
  • [8] Lee CL(2014)A propagation model of computer virus with nonlinear vaccination probability Commun. Nonlinear Sci. Numer. Simul 19 92-100
  • [9] Wen TH(2002)A survey on sensor networks IEEE Commun. Mag 40 102-114
  • [10] Sun CT(2013)Mathematical model on the transmission of worms in wireless sensor network Appl. Math. Model 37 4103-4111