Optimal Control of Computer Virus Spreading Model with Partial Immunization

Nowadays, viruses and worms create the most critical problems in computer security issues. Hence, the spreading behavior of computer viruses and the investigation of their control measures are crucial since they will prevent massive economic losses and social panic. This study explores computer virus transmission with a partial immunization based on the Susceptible-Infected-Susceptible-Recovered-Susceptible model. Also, the virus spreading process is analyzed using the reproduction number $$R_0$$ and stability analysis. The developed model is justified through stochastic simulations and compared with the existing models. Furthermore, the optimal control measures are found analytically and numerically. Numerically substantiated that the spread of infected nodes and the immunity loss can efficiently be managed using an optimal control technique.