Public opinion dissemination control is of crucial importance to facilitate reliable and efficient data delivery, especially in networks consisting of openness, sharing and convenience. From a systematic point of view, we aim to explore the optimal control policy for information dissemination with relatively enclosed environment. To control the effusion of network public opinion is more important than deleting existing information about it. We depict the impact of isolation strategy on the transmission dynamics of network public opinion. Since the abstraction of information dissemination much resembles the spread of epidemics, a simplified SLIR model is utilized to characterize the collective dynamics of information dissemination over networks. Moreover, an optimal objective based on the maximum social utility is established, namely, minimizing both the total outbreak size of public opinion and the relevant costs of isolations. The optimal solution is acquired by using the Pontryagin’s Maximum Principle. Lastly, the simulations to the opinion control efficacy are accomplished, so the effectiveness of the control methods in the network public opinion is verified.
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