Modeling and analysis of interaction of two mutualistic symbiosis worms

Abstract

Internet worm attacks reduce the network security and cause economic losses. As different kinds of worms spread in the Internet, the interactions among them have strong impact on the propagation of worms. In order to eliminate the negative effect, it is necessary to characterize these interaction behaviors. Accounting for these factors, a model with two mutualistic symbiosis worms is proposed in this paper. The stability of the infection-free equilibrium and positive equilibrium are discussed. Through theoretical analysis, the stability conditions are obtained mathematically. Numerical results from the experiment are in favor of the theoretical analysis. It also indicates that the mutualistic symbiosis worms indeed promote each other's spread in the Internet, which is helpful to design strategies to control the spread of worms.