Abstract
Epidemiological dynamics is a vital method in studying the spread of computer network viruses. In this paper, an optimal control measure is proposed based on the SEIR virus propagation model in point-to-group information networks. First, considering the need for antivirus measures in reality, an optimal control problem is introduced, and then a controlled computer virus spread model in point-to-group information networks is established. Second, the optimal control measure is formulated by making a tradeoff between control cost and network loss caused by virus intrusion. Third, optimal control strategies are theoretically investigated by Pontryagin’s maximum principle and the Hamiltonian function. Finally, through numerical simulations, effective measures for controlling virus spread in point-to-group information networks are proposed.
Highlights
Given the situation that critical infrastructures and human daily activities are becoming more and more dependent on information networks, it is vital to understand their weaknesses and uncover potential risks to threaten their security
Network viruses are the main threat that leads to the cyber security
Some biological epidemic models, such as susceptible-infected-susceptible (SI/SIS) and susceptible-infected-recovered (SIR), have been adapted to capture behaviors of the network virus propagation [4,5,6,7,8,9,10]. Based on these classical models, lots of extent models, which have more state transitions among nodes, have been proposed to investigate the dynamical characteristic of internet worms [11,12,13,14,15]. ese previous studies contributed to reveal the dynamical phenomena of internet worms and provided the effective theoretical instructions for network managers to protect network security
Summary
Given the situation that critical infrastructures and human daily activities are becoming more and more dependent on information networks, it is vital to understand their weaknesses and uncover potential risks to threaten their security. Some biological epidemic models, such as susceptible-infected-susceptible (SI/SIS) and susceptible-infected-recovered (SIR), have been adapted to capture behaviors of the network virus propagation [4,5,6,7,8,9,10] Based on these classical models, lots of extent models, which have more state transitions among nodes, have been proposed to investigate the dynamical characteristic of internet worms [11,12,13,14,15]. Our main contributions are as follows: (1) we present a virus propagation model with variable antivirus measures in the point-to-group information sharing network; (2) the optimal control function to adjust antivirus strength is constructed; (3) the existence of the optimized solution is proved theoretically.
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