# Optimal approaches for COVID-19 control: the use of vaccines and lockdowns across societal groups

## TL;DR

This paper explores how combining vaccines and lockdowns can best control COVID-19, showing that vaccinating non-vulnerable people with strict measures reduces deaths more effectively.

## Contribution

The study introduces a novel mathematical model to optimize vaccination and lockdown strategies for minimizing mortality.

## Key findings

- Higher vaccination rates significantly reduce the need for severe lockdowns to control mortality.
- Vaccinating non-vulnerable groups with strict NPIs achieves better disease control than prioritizing vulnerable groups.
- Combining vaccines with lockdowns can reduce infections by up to 89%.

## Abstract

By March 2023, the COVID-19 illness had caused over 6.8 million deaths globally. Countries restricted disease spread through non-pharmaceutical interventions (NPIs; e.g. social distancing). More severe “lockdowns” were also required to manage disease spread. Although lockdowns effectively reduce virus transmission, they substantially disrupt economies and individual well-being. Fortunately, the availability of vaccines provides alternative approaches to manage disease spread. Yet, vaccination programs take several months to implement fully, require further time for individuals to develop immunity following inoculation, may not have complete coverage and/or may be imperfectly efficacious against the virus. Given these aspects of a vaccination programme, it is important to understand how NPIs (such as lockdowns) can be used in conjunction with vaccination to achieve public health goals.

We use mathematical methods to, investigate optimal approaches for vaccination under varying lockdown lengths and/or severities to prevent COVID-19-related deaths exceeding critical thresholds.

We find that increases in vaccination rate cause a disproportionate decrease in the length and severity lockdowns to keep mortality levels below a critical threshold. With vaccination, severe lockdowns can further reduce infections by up to 89%. Notably, we include simple demographics, modelling three groups: vulnerable, front-line workers, and non-vulnerable. We investigate the sequence of vaccination. One counter-intuitive finding is that even though the vulnerable group is high risk, demographically, this is a small group and critically, per person, vaccination therefore occurs more slowly. Hence vaccinating this group first achieves limited gains in overall disease control.

Importantly, we conclude that improved disease control may be best achieved by vaccinating the non-vulnerable group coupled with longer and/or more severe NPIs.