• P-ISSN 0974-6846 E-ISSN 0974-5645

Indian Journal of Science and Technology


Indian Journal of Science and Technology

Year: 2016, Volume: 9, Issue: 28, Pages: 1-5

Original Article

Stability Analysis of SITR Model and Non Linear Dynamics in Wireless Sensor Network


Background/Objectives: Security is one of the essential concern in wireless sensor network. To find the stability points when worms appears in the wireless sensor network. Methods/Statistical Analysis: By using ODE formulate the SITR model for wireless sensor network. Find the existence of positive equilibrium and perform the stability test with the help of Jacobian matrix. Some theorems are propsed for the analysis of model. Findings: The model explains that some infected individuals should move from treated phase to recovered phase even after applying the protection mechanism. The entire dynamics of the transmission of worms can be analyzed by this mathematical model, propagating feat by worms in WSN can be determined by the value Ro basic reproduction number. Simulation has performed using MATLAB of the proposed model. This shows the validity of propsed model. 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


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