Open AccessHow does the latency period impact the modeling of COVID-19 transmission dynamics?
Author(s) -
Ben Patterson,
Jin Wang
Publication year - 2022
Publication title -
mathematics in applied sciences and engineering
Language(s) - English
Resource type - Journals
ISSN - 2563-1926
DOI - 10.5206/mase/14537
Subject(s) - latency (audio) , covid-19 , basic reproduction number , latency stage , computer science , transmission (telecommunications) , period (music) , mathematics , differential equation , physics , mathematical analysis , telecommunications , psychology , demography , medicine , population , disease , pathology , sociology , acoustics , infectious disease (medical specialty) , psychoanalysis
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.