论文标题
在斑点环境中，在多层种群分散下，SIS流行病扩散
SIS Epidemic Spreading under Multi-layer Population Dispersal in Patchy Environments
论文作者
论文摘要
我们研究了种群分散多层网络下的SIS流行传播模型。我们考虑一个零散的环境，其中每个补丁都包括属于不同类别的个人。个人分散到多层网络上的其他补丁，其中每一层都对应于类。每一层的分散均由连续的时间马尔可夫链（CTMC）建模。在每个时间，个体都根据其CTMC分散，然后根据SIS模型与贴片中的当地人相互作用。我们在不同的参数制度下建立了各种平衡的存在，并使用Lyapunov技术建立了其（几乎）全球渐近稳定性。我们还得出了简单的条件，这些条件突出了多层网络对这些均衡的稳定性的影响。对于此模型，我们使用凸优化框架研究了最佳干预策略。最后，我们从数字上说明了多层网络结构的影响以及最佳干预策略的有效性。
We study SIS epidemic spreading models under population dispersal on multi-layer networks. We consider a patchy environment in which each patch comprises individuals belonging to different classes. Individuals disperse to other patches on a multi-layer network in which each layer corresponds to a class. The dispersal on each layer is modeled by a Continuous Time Markov Chain (CTMC). At each time, individuals disperse according to their CTMC and subsequently interact with the local individuals in the patch according to an SIS model. We establish the existence of various equilibria under different parameter regimes and establish their (almost) global asymptotic stability using Lyapunov techniques. We also derive simple conditions that highlight the influence of the multi-layer network on the stability of these equilibria. For this model, we study optimal intervention strategies using a convex optimization framework. Finally, we numerically illustrate the influence of the multi-layer network structure and the effectiveness of the optimal intervention strategies.
