A stochastic dynamic model of computer viruses. (English) Zbl 1248.68080
Summary: A stochastic computer virus spread model is proposed and its dynamic behavior is fully investigated. Specifically, we prove the existence and uniqueness of positive solutions, and the stability of the virus-free equilibrium and viral equilibrium by constructing Lyapunov functions and applying Ito’s formula. Some numerical simulations are finally given to illustrate our main results.
MSC:
| 68M11 | Internet topics |
| 93C95 | Application models in control theory |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 37N99 | Applications of dynamical systems |
| 68N99 | Theory of software |
Keywords:
stochastic computer virus spread model; virus-free equilibrium; viral equilibrium; Lyapunov functionsReferences:
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