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Computer Network, Worms, IPV6, Epidemic Model, Differential Equations, Cybersecurity.

In recent times, epidemic differential equation models have been used to understand the patterns of malicious objects’ propagation in networks. This is necessary since malware attacks on information and communication technology infrastructure have become numerous and threatening to cyberspace. Our study herein posits that older multigroup epidemic computer network models are somewhat not to clear on the type of worm propagated, thereby presenting a generalized conclusions on its behavior. However, it has been observed that the internet protocol (IP) address space has been ignored in several formulations of these models. Therefore, we evaluate the effect of applying the IPV6 address configuration to dthe following models; SI1I2I3RS, S1S2S3IR, E-S1S2I1I2RS and SI1I2RS. This is due to the fact that some worm types (scan-based) either randomly or locally search the address space for vulnerabilities in the network. Using the Runge-Kutta numerical method, we performed numerical simulations in order to highlight existent differences and variations (as time histories and 3 dimensional phase plots) for the presence and absence of the IPV6 address format. The study also showed the impact of the incidence functions used in these epidemic models. Through this study, we were able to present a clear understanding of the dynamics of the computer network, and how IPV6 configuration affect susceptibility and multiple infections (scan-based worms inclusive).