Abstract

We introduce two mathematical models based on systems of differential equations to investigate the relationship between the latency period and the transmission dynamics of COVID-19. We analyze the equilibrium and stability properties of these models, and perform an asymptotic study in terms of small and large latency periods. We fit the models to the COVID-19 data in the U.S. state of Tennessee. Our numerical results demonstrate the impact of the latency period on the dynamical behaviors of the solutions, on the value of the basic reproduction numbers, and on the accuracy of the model predictions.

Highlights

  • The coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), has been a global pandemic for almost two years

  • The main goal of this paper is to investigate the impact of the latency period on the transmission dynamics modeling of COVID-19

  • Using the COVID-19 data in the state of Tennessee, we have examined various scenarios associated with different latency periods in this work

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Summary

Introduction

The coronavirus disease 2019 (COVID-19), caused by severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2), has been a global pandemic for almost two years. Liu et al [20] incorporated the latency period into two differential equation-based models, including one with a time delay, and fitted the models to COVID19 data in China Despite these studies, our understanding of the relationship between the latency period and disease transmission and spread remains inadequate, and our current knowledge is limited regarding the interplay between the asymptomatic infection and the latency in shaping the transmission dynamics of COVID-19. Our understanding of the relationship between the latency period and disease transmission and spread remains inadequate, and our current knowledge is limited regarding the interplay between the asymptomatic infection and the latency in shaping the transmission dynamics of COVID-19 To address this issue, we will introduce two simple models in this work, denoted as SAIR and SEAIR, respectively.

Model formulation and equilibrium dynamics
Asymptotic analysis
Numerical simulation
Findings
Discussion
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