Abstract

Mathematical Models for Stability in Computer Network

Kaveri Kanchan Kumari*1, Aditya Kumar Singh2 and Sahdeo Mahto3

1Department of Applied Mathematics, Cambridge Institute of Technology, Tatisilwai, Ranchi, Jharkhand-834001, INDIA. 2Department of Mathematics, Ramgarh Engineering College, Murbanda, Ramgarh, Jharkhand, INDIA. 3University Department of Mathematics, Ranchi University, Ranchi, Jharkhand, INDIA.

DOI : http://dx.doi.org/10.29055/jcms/979

ABSTRACT

To protect cyber world from different kind of malicious objects, an attempt has been made to develop an e-epidemic SIQRS (Susceptible, Infectious, Quarantine, Recovered Susceptible) model for the transmission of malicious objects in computer network. Basic reproduction number and Stability of the system has been discussed by Jacobian Method. Differential equations are employed to simulate the system which may help us to understand the attacking behavior of the malicious objects in computer network. 2000 AMS Classification- 92D30, 34D23.

Keywords :Quarantine Epidemic Model; Malicious Objects; Computer Network; MATLAB.

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