论文标题
竞争流行病的最佳固化策略在复杂的网络上传播
Optimal Curing Strategy for Competing Epidemics Spreading over Complex Networks
论文作者
论文摘要
抑制竞争流行病在复杂网络上传播的最佳固化策略是一个关键问题。在本文中，我们首先建立一个框架来捕获两个流行病之间的耦合，然后通过将它们分为三类并得出其稳定性条件来分析系统的平衡状态。设计的固化策略在全球范围内优化了固化成本与网络中流行病的严重性之间的权衡。此外，我们通过显示溶液的存在和独特性来提供有关流行病扩散的可预测性的结构结果。我们还通过显示有关应用固化工作的流行严重程度的连续性来证明固化策略的鲁棒性。提出了基于定点迭代方案的梯度下降算法，以找到最佳的固化策略。根据系统参数，随着控制成本的变化，固化策略可以导致流行网络的平衡之间的切换。最后，我们使用案例研究来证实并说明获得的理论结果。
Optimal curing strategy of suppressing competing epidemics spreading over complex networks is a critical issue. In this paper, we first establish a framework to capture the coupling between two epidemics, and then analyze the system's equilibrium states by categorizing them into three classes, and deriving their stability conditions. The designed curing strategy globally optimizes the trade-off between the curing cost and the severity of epidemics in the network. In addition, we provide structural results on the predictability of epidemic spreading by showing the existence and uniqueness of the solution. We also demonstrate the robustness of curing strategy by showing the continuity of epidemic severity with respect to the applied curing effort. A gradient descent algorithm based on a fixed-point iterative scheme is proposed to find the optimal curing strategy. Depending on the system parameters, the curing strategy can lead to switching between equilibria of the epidemic network as the control cost varies. Finally, we use case studies to corroborate and illustrate the obtained theoretical results.
