Kaushik Haldar

Work place: Department of Mathematics, Birla Institute of Technology, Mesra, Ranchi-835215, India

E-mail: haldarkaushik@gmail.com


Research Interests: Computer systems and computational processes, Computer Architecture and Organization, Systems Architecture, Data Structures and Algorithms


Kaushik Haldar is currently pursuing his doctoral research in the Department of Mathematics at the Birla Institute of Technology, Mesra in Ranchi (India). Prior to this, he was working as a faculty in the Department of Computer Science and Engineering at the National Institute of Science and Technology, Berhampur in Orissa (India). He has a master’s degree in Science (in Mathematics), and also in Technology (in Scientific Computing). His areas of interest include mathematical modelling and simulation of complex dynamical systems, and computational intelligence.

Author Articles
A Mathematical Model on Selfishness and Malicious Behavior in Trust based Cooperative Wireless Networks

By Kaushik Haldar Nitesh Narayan Bimal K. Mishra

DOI: https://doi.org/10.5815/ijcnis.2015.10.02, Pub. Date: 8 Sep. 2015

Developing mathematical models for reliable approximation of epidemic spread on a network is a challenging task, which becomes even more difficult when a wireless network is considered, because there are a number of inherent physical properties and processes which are apparently invisible. The aim of this paper is to explore the impact of several abstract features including trust, selfishness and collaborative behavior on the course of a network epidemic, especially when considered in the context of a wireless network. A five-component differential epidemic model has been proposed in this work. The model also includes a latency period, with a possibility of switching epidemic behavior. Bilinear incidence has been considered for the epidemic contacts. An analysis of the long term behavior of the system reveals the possibility of an endemic equilibrium point, in addition to an infection-free equilibrium. The paper characterizes the endemic equilibrium in terms of its existence conditions. The system is also seen to have an epidemic threshold which marks a well-defined boundary between the two long-term epidemic states. An expression for this threshold is derived and stability conditions for the equilibrium points are also established in terms of this threshold. Numerical simulations have further been used to show the behavior of the system using four different experimental set-ups. The paper concludes with some interesting results which can help in establishing an interface between epidemic spread and collaborative behavior in wireless networks. 

[...] Read more.
Other Articles