Bifurcation Analysis for an SEIRS-V Model with Delays on the Transmission of Worms in a Wireless Sensor Network

Zizhen Zhang and Yougang Wang

Mathematical Problems in Engineering, 2017, vol. 2017, 1-15

Abstract:

Hopf bifurcation for an SEIRS-V model with delays on the transmission of worms in a wireless sensor network is investigated. We focus on existence of the Hopf bifurcation by regarding the diverse delay as a bifurcation parameter. The results show that propagation of worms in the wireless sensor network can be controlled when the delay is suitably small under some certain conditions. Then, we study properties of the Hopf bifurcation by using the normal form theory and center manifold theorem. Finally, we give a numerical example to support the theoretical results.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:9898726

DOI: 10.1155/2017/9898726

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