Modeling and analysis of the impact of adaptive defense strategy on virus spreading

作者：Zhu Qingyi; Li Longqi; Gan Chenquan

来源：IAENG International Journal of Applied Mathematics, 2018, 48(2): 146-151.

• Adaptive defence strategy
• Computer virus propagation
• Dynamical model
• Global stability
• Local and global asymptotic stabilities
• Numerical experiments
• Optimal control problem
• Optimal controls

Nowadays, the dynamical modeling has been an important approach to macroscopically study the propagation behaviors of computer virus on the Internet, and a large number of models have been established in this field. To our knowledge, however, the existing models did not take into account the difference in the ability of computer security defense. As it is known, in reality, due to the different nature and usefulness, not all computers in a system have the same security defense ability. In this paper, a new computer virus propagation model, which addresses the impact of different security defense abilities on computer virus spreading, is proposed and analyzed. In this context, a threshold is given to determine when the computer security defense level is need to be upgraded. Then, three potential equilibria are obtained, and their local and global asymptotic stability are fully studied. Furthermore, the optimal control problem of proposed model is formulated. On this basis, some numerical experiments are made to justify our results.

• 出版日期2018