In the spread of infectious diseases, media reports have played a positive role. However, in the process of game communication, there are not only positive but also negative media reports. Therefore, in this paper, we establish a model with positive and negative media reports to analyze the role of media reports in the process of game communication. First, we study its positivity and boundedness, and calculate the basic reproduction number \(R_{0}\) under three different incidence rates. The existence and stability of the equilibria are proved. Secondly, the optimal control problem is studied by adding two dynamic variables of media reports. Finally, in the simulation we simulate the stability of the equilibria, so as to verify the correctness of the theory. Then the influence of media parameters on \(R_{0}\) is analyzed. The numerical results of optimal control are simulated by forward and backward sweep method. By comparing the results of the optimal control and without control, the media coverage should be controlled according to the optimal control measures shown in this paper. The serious situation of game addiction will be greatly alleviated, which can reduce the infection rate by at least 90%.

在传染病的传播中，媒体报道发挥了积极作用。但是，在游戏交流的过程中，不仅有积极的报道，也有消极的媒体报道。因此，在本文中，我们建立了具有正面和负面媒体报道的模型，以分析媒体报道在游戏传播过程中的作用。首先，我们研究其正性和有界性，并计算三种不同发生率下的基本繁殖数\（R_ {0} \）。证明了平衡的存在性和稳定性。其次，通过增加媒体报道的两个动态变量来研究最优控制问题。最后，在仿真中我们模拟了平衡的稳定性，从而验证了理论的正确性。然后媒体参数对\（R_ {0} \）被分析。通过前向和后向扫频方法模拟了最优控制的数值结果。通过比较最佳控制和不控制的结果，应根据本文所示的最佳控制措施控制介质覆盖率。游戏成瘾的严重情况将大大减轻，这可以使感染率至少降低90％。