Optimal Control of Malicious Codes in a Computer Network by Quarantine and Isolation Strategy

We proposed an e-SEIQRS (e-electronic S-susceptible, E-exposed, I-infectious, Q-quarantined, R-recovered) model under the defence strategy of quarantine and isolation to understand the nature of malicious codes in computer network. Stability analysis is performed in prosed model. To establish the stability, we calculated basic reproduction number (R0); it has shown that if R0 < 1, the model is stable at virus free equilibrium and if R0 < 1, the system is unstable. Numerical methods are used for solution, and analysis of the developed system of equations and models yields surprising disclosures.