Modeling the state dependent impulse control for computer virus propagation under media coverage
| Autor: | Xiyin Liang, Yunfei Lv, Yongzhen Pei |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Mathematical optimization Numerical analysis Media coverage Condensed Matter Physics computer.software_genre 01 natural sciences 010305 fluids & plasmas Computer virus Impulse control symbols.namesake State dependent Successor function 0103 physical sciences Poincaré conjecture symbols Applied mathematics Uniqueness 010301 acoustics computer Mathematics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 491:516-527 |
| ISSN: | 0378-4371 |
| Popis: | 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 Poincare 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. |
| Databáze: | OpenAIRE |
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