Indian Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access

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


Affiliations
1 G. L. Bajaj Institute of Technology and Management, Plot No. 2, Knowledge Park III, Distt. G.B. Nagar, Greater Noida – 201306, Uttar Pradesh, India
2 Galgotias College of Engineering and Technology, 1, Institutional Area, Knowledge Park - 2, Greater Noida - 201306, Uttar Pradesh, India
3 National Institute of Technology, Durgapur, Mahatma Gandhi Road, A-Zone, Durgapur - 713209, West Bengal, India
 

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.
User

Abstract Views: 181

PDF Views: 0




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

Abstract Views: 181  |  PDF Views: 0

Authors

Awasthi Shashank
G. L. Bajaj Institute of Technology and Management, Plot No. 2, Knowledge Park III, Distt. G.B. Nagar, Greater Noida – 201306, Uttar Pradesh, India
Ojha Rudra Pratap
Galgotias College of Engineering and Technology, 1, Institutional Area, Knowledge Park - 2, Greater Noida - 201306, Uttar Pradesh, India
Srivastava Pramod Kumar
Galgotias College of Engineering and Technology, 1, Institutional Area, Knowledge Park - 2, Greater Noida - 201306, Uttar Pradesh, India
Sanyal Goutam
National Institute of Technology, Durgapur, Mahatma Gandhi Road, A-Zone, Durgapur - 713209, West Bengal, India

Abstract


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.



DOI: https://doi.org/10.17485/ijst%2F2016%2Fv9i28%2F131562