论文标题
用于缓解连续时间网络SIS流行病的州反馈控制器
A State Feedback Controller for Mitigation of Continuous-Time Networked SIS Epidemics
论文作者
论文摘要
该论文认为持续的网络网络易感性感染（SIS）疾病在人群中传播。每个代理都代表一个子人群，并具有其自身的愈合率和感染率；瞬间，代理的状态表示所述亚人群的哪一部分在上述时间感染该疾病。通过考虑实时响应感染率的代理行为的变化，我们的目标是设计一种反馈策略，以使每个剂的感染水平严格保持在预先指定的价值之下。此外，我们还有兴趣确保闭环系统会收敛到无疾病平衡，或者在存在时与地方性平衡相聚。制定这种策略的结果是，它允许卫生管理官员确保医疗保健系统中有足够的能力来治疗最严重的病例。我们通过数值示例证明了控制器的有效性。
The paper considers continuous-time networked susceptible-infected-susceptible (SIS) diseases spreading over a population. Each agent represents a sub-population and has its own healing rate and infection rate; the state of the agent at a time instant denotes what fraction of the said sub-population is infected with the disease at the said time instant. By taking account of the changes in behaviors of the agents in response to the infection rates in real-time, our goal is to devise a feedback strategy such that the infection level for each agent strictly stays below a pre-specified value. Furthermore, we are also interested in ensuring that the closed-loop system converges either to the disease-free equilibrium or, when it exists, to the endemic equilibrium. The upshot of devising such a strategy is that it allows health administration officials to ensure that there is sufficient capacity in the healthcare system to treat the most severe cases. We demonstrate the effectiveness of our controller via numerical examples.
