Department of Mathematics, Faculty of Science, University of Oviedo, Oviedo, Spain.
Department of Applied Mathematics, Faculty of Science, University of Granada, Granada, Spain.
Bull Math Biol. 2021 Aug 19;83(10):98. doi: 10.1007/s11538-021-00929-w.
In this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree of mobility of the population plays a critical role in the spread of a disease. Finally, we derive theoretical insights to management of epidemics.
在本文中，我们分析了通常的运动变量对传染病传播的影响。具体来说，对于两种空间拓扑结构，我们可以推断出哪种拓扑结构产生的受感染个体更少。特别地，我们确定了使受感染个体总数最小的拓扑结构。值得注意的是，我们不假设网络理论中的任何常见简化假设，例如所有链接都具有相同的扩散率或个体的移动是对称的。我们的主要结论是，人口的流动性程度在疾病传播中起着关键作用。最后，我们得出了有关传染病管理的理论见解。
