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Stability Analysis of SIDR Model for Worm Propagation in Wireless Sensor Network

Affiliations

  • G.L. Bajaj Institute of Technology and Management, Greater Noida - 201306, Uttar Pradesh, India
  • Galgotias College of Engineering and Technology, Greater Noida, Uttar Pradesh – 201306, India

Abstract


Background/Objectives: Security is essential concerns in wireless sensor network. To find the stability points when worms appear in the wireless sensor network. Methods/Statistical Analysis: By using ODE formulate the SIDR model by introducing the concept of dead nodes for wireless sensor network. Find the existence of positive equilibrium and perform the stability test with the help of Jacobian matrix. Some theorems are proposed for the analysis of model. Findings: The model explains that the inactive nodes are the nodes which die due to battery consumption and cannot be recharged because of remotely located in harsh region. Inactive nodes are not capable to transmit data from one sensor node to another sensor node. The model describes the nonlinear dynamics of Susceptible, Infectious, Dead and Recovered class of nodes. The entire dynamics of the transmission of worms can be analyzed by this mathematical model, propagating feat by worms in WSN can be determine with the help of threshold value of Ro. This model validates through extensive results by using MATLAB. Application/Improvements: Proposed model is useful to reduce the battery overhead, enhance the lifetime of wireless sensor network.

Keywords

Epidemic Model, Equilibrium, Stability, Wireless Sensor Network, Worms Propagation.

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