论文标题
不均匀的SIR模型中感染的缓慢衰减
Slow decay of infection in the inhomogeneous SIR model
论文作者
论文摘要
考虑到感染在人口稠密的区域或热点地区密集不均匀的情况下，使用一个，二和三维的数值模拟研究了具有空间不均匀感染率的SIR模型。我们发现，在某些情况下，在不均匀系统中，感染的总衰减非常缓慢，与普通微分方程的SIR模型中感染群体I（t）的指数衰减相比。感染人群的缓慢衰减表明，感染长期存在，疾病很难完全消失。
The SIR model with spatially inhomogeneous infection rate is studied with numerical simulations in one, two, and three dimensions, considering the case that the infection spreads inhomogeneously in densely populated regions or hot spots. We find that the total population of infection decays very slowly in the inhomogeneous systems in some cases, in contrast to the exponential decay of the infected population I(t) in the SIR model of the ordinary differential equation. The slow decay of the infected population suggests that the infection is locally maintained for long and it is difficult for the disease to disappear completely.
