Subjects: Computer Science >> Integration Theory of Computer Science submitted time 2018-04-24 Cooperative journals: 《计算机应用研究》
Abstract： In order to study the impact of differences in user communication capabilities on the spread of spam. This paper divided the population in the communication network into four compartments I(Ignorant) , W(Weakly spreader) , S(Strongly spreader) , R(Removal) and established state transition rules according to the theory of compartment modeling. Using differential dynamical system theory, this paper developed an IWSR spam propagation model with different communication capabilities. By calculating the basic reproduction number of the model and using the Hurwitz criterion, Lyapunov stability theorem and LaSalle invariance principle, this paper obtained the conditions for local stability and global stability of the spam information propagation equilibrium points. Finally, the comparison experiment between the numerical simulation and the Sina Weibo dataset proves that the conclusion is reasonable and effective.
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