Concerning that the existing networks virus propagation models do not consider the influence of interactive behaviors among the users in different social networks on network virus propagation, a dynamic model of differential equations was established. The stability theory was used to analyze the dynamical behaviors of the network virus propagation, and the accurate expression of the basic reproduction number was obtained, which is the threshold of controlling the network virus propagation. Furthermore, using Runge-Kutta numerical method, the correctness of theoretic analysis was verified by simulations. The results show that the basic reproduction number is the direct decisive factor of network virus prevalence situations. When the value of the basic reproduction number is less than or equal to one, the propagation of the network viruses will be controlled with the evolution of time. Additionally, the research reveals that it is helpful for distributing the users to different social networks to slow the prevalence of network viruses.

Human-computer interaction technology based on virtual hand is a research focus of virtual reality. The key technologies were studied, the modeling method of polygon mesh was used and a realistic geometric model of virtual hand was established. The data acquisition module of data glove based on Virtools was developed and a method of data conversion based on initial value was proposed, the phenomenon of jump was solved when the virtual hand begin to move. For the fingers outreach motion, the method of constraint value was used, and the matching consistency of virtual hand with the real hand was increased. At last, for the interaction operation of virtual hand with virtual objects, a crawl algorithm based on effective threshold angle was put forward. Verified by Virtools platform, high fidelity of the virtual hand model is got, the shape of the hand changes naturally. Meanwhile, the interaction operation of virtual hand to virtual objects is implemented and it has a strong practicability.

The updating of computers has great impact on the dynamics of worms. To contain the propagation of worms, it is necessary to characterize this factor. A model was proposed in this paper, which took account of the influence of computer updating. Furthermore, the model's equilibria and their stability conditions were obtained mathematically and then verified by simulations. The analytical and simulated results show that the updating of computers can lead to the persistence of worms, which will die out otherwise. The simulation results also show that the updating rate has bi-effects on the spreading of worms. Under the guidance of basic reproduction number, the negative effect can be alleviated and worms can be terminated by introducing a anti-virus system of high initial installation rate.