发表机构
South Dakota School of Mines; Adelaide University; Australian National University（南达科他矿业学院; 阿德莱德大学; 澳大利亚国立大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文针对网络化双病毒SIS模型提出一类非线性分散式反馈控制以降低地方性平衡感染比例，发现新型平衡点源于跨临界分岔，并证明受控系统强单调且无法稳定无控制系统的边界平衡点。
AI 中文摘要
近期研究已确立了多种描述两种竞争病毒在人群中传播的系统的性质，以及具有不同传播特性的多个相互连接人群（例如男性和女性）的网络系统的性质。本研究考虑引入一类非线性分散式反馈控制，旨在降低地方性平衡状态下受感染人群的比例。一个令人惊讶的结论是，在某些情况下，会出现新型平衡点。这些平衡点可被视为跨临界分岔的结果，而这种分岔在无控制系统中从未被观察到。此外，我们证明了受控系统是强单调的，并且无控制系统的不稳定边界平衡点无法通过本文所考虑的这类分散式状态反馈控制器来稳定。
英文摘要
Recent work has established many properties of systems modeling the spread of two competing viruses in a population, and for networks with multiple connected populations with different spreading properties (e.g. men and women). This work considers the introduction of a class of nonlinear decentralized feedback controls aimed at reducing the fractions of populations infected at an endemic equilibrium. One surprising conclusion is that in some circumstances, new types of equilibria can arise. They can be viewed as an outcome of a transcritical bifurcation which is never observed for uncontrolled systems. In addition, we show that the controlled system is strongly monotone, and an unstable boundary equilibrium of the uncontrolled system cannot be stabilized using the class of decentralized state feedback controllers considered in this paper.
