We propose a mathematical model to study coupled epidemic and opinion dynamics in a network of communities. Our model captures SIS epidemic dynamics whose evolution is dependent on the opinions of the communities toward the epidemic, and vice versa. In particular, we allow both cooperative and antagonistic interactions, representing similar and opposing perspectives on the severity of the epidemic, respectively. We propose an Opinion-Dependent Reproduction Number to characterize the mutual influence between epidemic spreading and opinion dissemination over the networks. Through stability analysis of the equilibria, we explore the impact of opinions on both epidemic outbreak and eradication, characterized by bounds on the Opinion-Dependent Reproduction Number. We also show how to eradicate epidemics by reshaping the opinions, offering researchers an approach for designing control strategies to reach target audiences to ensure effective epidemic suppression.

中文翻译：

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具有合作和对立意见动态的网络SIS流行病模型

我们提出了一个数学模型来研究社区网络中的流行病和舆论动态耦合。我们的模型捕获了SIS流行病动态，其演变取决于社区对流行病的看法，反之亦然。特别是，我们允许合作和对抗性互动，分别代表对这一流行病严重性的相似观点和相反观点。我们提出了一个基于意见的复制编号，以表征网络上流行病传播与意见传播之间的相互影响。通过对平衡的稳定性分析，我们探讨了意见对流行病爆发和根除的影响，其特征在于意见依赖繁殖数的界限。我们还展示了如何通过重塑观点来消除流行病，