论文标题
从易感感染到易感感染的反射动力学的过渡
Transition from Susceptible-Infected to Susceptible-Infected-Recovered Dynamics in a Susceptible-Cleric-Zombie-Recovered Active Matter Model
论文作者
论文摘要
易感感染（SI）和易感感染的被恢复（SIR）模型提供了流行进化的两个不同表示，这是由于SI模型中缺乏自发恢复而区别。在这里，我们介绍了一种新的活性物质流行模型，即“易感 - 元素 - Zombie Recredecred”'（SCZR）模型，其中不存在自发恢复，但僵尸可以通过与牧师的相互作用而用概率$γ$恢复。在与僵尸互动后，易感和牧师都可以分别以$β$和$α$的可能性进入僵尸状态。通过更改神职人员的INTIAL比例或其愈合能力率$γ$，我们可以调整SI Dynamics之间的SCZR模型，在SI动力学之间，没有易感或牧师长期保留，而SIR Dynamics则没有僵尸在长时间保留。该模型与某些现实世界中的疾病（例如艾滋病毒）相关，那里是不可能自发恢复的，但是在有限数量的护理人员的医疗干预措施可以减少或消除感染的传播的情况下。
The Susceptible-Infected (SI) and Susceptible-Infected-Recovered (SIR) models provide two distinct representations of epidemic evolution, distinguished by the lack of spontaneous recovery in the SI model. Here we introduce a new active matter epidemic model, the ``Susceptible-Cleric-Zombie-Recovered'' (SCZR) model, in which spontaneous recovery is absent but zombies can recover with probability $γ$ via interaction with a cleric. Upon interacting with a zombie, both susceptibles and clerics can enter the zombie state with probability $β$ and $α$, respectively. By changing the intial fraction of clerics or their healing ability rate $γ$, we can tune the SCZR model between SI dynamics, in which no susceptibles or clerics remain at long times, and SIR dynamics, in which no zombies remain at long times. The model is relevant to certain real world diseases such as HIV where spontaneous recovery is impossible but where medical interventions by a limited number of caregivers can reduce or eliminate the spread of infection.
