This paper shows how a new theory of epidemics can be developed for viral pandemics in a globally interconnected world. The study of the in-host dynamics and, in parallel, the spatial diffusion of epidemics defines the goal of our work, which looks ahead to new mathematical tools to model epidemics beyond the traditional approach of population dynamics. The approach takes into account the evolutionary nature of the virus, which can generate pseudo-Darwinian mutations and selection, while learning the presence of the virus and activating adaptive immunity. The study of immune competition plays a key role in both the in-host dynamics and the contagion dynamics.

中文翻译：

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流行病与社会——从小世界到全球互联世界的多尺度视野

本文展示了如何在全球互联的世界中针对病毒大流行开发新的流行病理论。对宿主内动态以及流行病空间扩散的研究确定了我们的工作目标，即寻找新的数学工具来模拟流行病，超越传统的种群动态方法。该方法考虑到病毒的进化性质，它可以产生伪达尔文突变和选择，同时了解病毒的存在并激活适应性免疫。免疫竞争的研究在宿主动态和传染动态中都起着关键作用。