摘要
According to the actual situation of investor network, a SE2IR rumor spreading model with hesitating mechanism is proposed, and the corresponding mean-?eld equations is obtained on scale-free network. In this paper, we ?rst combine the theory of spreading dynamics and ?nd out the basic reproductive number R0. And then analyzes the stability of the rumor-free equilibrium and the?nal rumor size. Finally, we discuss random immune strategies and target immune strategies for the rumor spreading, respectively. Through numerical simulation, we can draw the following conclusions:Reducing the fuzziness and attractiveness of invest market rumor can effectively reduce the impact of rumor. And the target immunization strategy is more effective than the random immunization strategy for the communicators in the invest investor network.
According to the actual situation of investor network, a SE2IR rumor spreading model with hesitating mechanism is proposed, and the corresponding mean-?eld equations is obtained on scale-free network. In this paper, we ?rst combine the theory of spreading dynamics and ?nd out the basic reproductive number R0. And then analyzes the stability of the rumor-free equilibrium and the?nal rumor size. Finally, we discuss random immune strategies and target immune strategies for the rumor spreading, respectively. Through numerical simulation, we can draw the following conclusions:Reducing the fuzziness and attractiveness of invest market rumor can effectively reduce the impact of rumor. And the target immunization strategy is more effective than the random immunization strategy for the communicators in the invest investor network.
基金
Supported by the National Natural Science Foundation of China(71271103)