The main focus of this chapter is on public health control strategies which are currently the main way to mitigate Covid-19 pandemic. We introduce and compare compartmental models of increasing complexity for Covid-19 transmission to describe dynamics of the disease spread. We begin by considering an SEAIR model including basic characteristics related to Covid-19. Next, we shall pay attention to age-structured modeling to emphasis the role of age-group individuals on the disease spread. A model with constant delay is also formulated to show the impact of the latency period on the severity of Covid-19. Since there is evidence that for Covid-19 disease, important relationships exist between what is happening in the host and what is occurring at the population level, we shall link the basic model to in-host dynamics through the so-called threshold-type delay models. Finally, we will include demographic effects to the most complex models, and we will conduct rigorous bifurcation analysis to quantify possible factors responsible for disease progression. © 2021, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.
Lifting Lockdown Control Measure Assessment: From Finite-to Infinite-Dimensional Epidemic Models for Covid-19