Optimal control of a rumor propagation model with different propagation degrees in social network / Tang Yingfeng
Rumor is a social interaction of information, and its development is of great significance to human beings. In this paper, by studying the D K model and a rumor model spreading with rumor latent period, deduces the rumor model with differe nt propagation degrees of the spreaders. The two equilibr...
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| Format: | Thesis |
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2020
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| Online Access: | http://studentsrepo.um.edu.my/11915/ http://studentsrepo.um.edu.my/11915/1/Tang_Yingfeng.jpg http://studentsrepo.um.edu.my/11915/8/yingfeng.pdf |
| Summary: | Rumor is a social interaction of information, and its development is of great
significance to human beings. In this paper, by studying the D K model and a rumor
model spreading with rumor latent period, deduces the rumor model with differe nt
propagation degrees of the spreaders. The two equilibrium points in the system are
found through derivation. In real life, enterprises often ignore the reasonable planning of
the cost of rumor control. By means of public education and media technology u sing by
the authorities to debunk rumors, an optimal control problem i s established. The Pontryagin’s maximum principle is combined with the Hamilton ian function.
Bang bang control enables the linear control set U to get the optimal solution in the
nonlinear cost problem. MATLAB was used for simulation, and the visualization results
of the rumor model were obtained. Finally, the research on rumor is summarized to
optimize the cost of rumor control. |
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