Authors : Bimal Kumar Mishra and Prasant Kumar Nayak
Abstract: An attempt has been made to formulate the final size formula for infected nodes in a computer network due to the attack of different malicious agents like viruses, Trojan horse, worms, etc. We assume that the population of the nodes in a computer network is homogenous and there does not exist any heterogeneous mixing. The concept of self-replication of infected nodes and the time lag for self-replication (replication period), latent period and temporary immune period is introduced. The Susceptible Infected Recovered Susceptible (SIRS) class populations is assumed to be bounded by the total size of the population N (t) which is constant at any time instant. The stability of the result is stated in the terms of reproductive number R0. The system is stable if reproductive number is >1 and unstable if reproductive number is <1. Numerical method is employed to solve the system of integro-differential equations and is used to analyze the behavior of the susceptible, infected and recovered nodes in a computer network.
Bimal Kumar Mishra and Prasant Kumar Nayak, 2010. Final Size Formula for Infected Nodes Due to the Attack of Malicious Agents in a Computer Network. International Journal of Soft Computing, 5: 56-61.