Modeling the effects of contact tracing on COVID-19 transmission

Ali Traoré; Fourtoua Victorien Konané

doi:10.1186/s13662-020-02972-8

Modeling the effects of contact tracing on COVID-19 transmission

Adv Differ Equ. 2020;2020(1):509. doi: 10.1186/s13662-020-02972-8. Epub 2020 Sep 21.

Authors

Ali Traoré¹, Fourtoua Victorien Konané¹

Affiliation

¹ Laboratoire de Mathématiques et Informatique (LAMI), Département de Mathématiques, Université Joseph KI-ZERBO, 03 BP 7021 Ouagadougou 03 Ouagadougou, Burkina Faso.

Abstract

In this paper, a mathematical model for COVID-19 that involves contact tracing is studied. The contact tracing-induced reproduction number $R_{q}$ and equilibrium for the model are determined and stabilities are examined. The global stabilities results are achieved by constructing Lyapunov functions. The contact tracing-induced reproduction number $R_{q}$ is compared with the basic reproduction number $R_{0}$ for the model in the absence of any intervention to assess the possible benefits of the contact tracing strategy.

Keywords: COVID-19; Contact tracing; Lyapunov function; Mathematical model; Stability.