Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5102387 | Physica A: Statistical Mechanics and its Applications | 2018 | 20 Pages |
Abstract
A state dependent impulsive control model is proposed to model the spread of computer virus incorporating media coverage. By the successor function, the sufficient conditions for the existence and uniqueness of order-1 periodic solution are presented first. Secondly, for two classes of periodic solutions, the geometric property of successor function and the analogue of the Poincaré criterion are employed to obtain the stability results. These results show that the number of the infective computers is under the threshold all the time. Finally, the theoretic and numerical analysis show that media coverage can delay the spread of computer virus.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xiyin Liang, Yongzhen Pei, Yunfei Lv,