Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

On the Dynamic Interaction of Social Processes and COVID-19 Infection Dynamics

Version 1 : Received: 28 October 2022 / Approved: 7 November 2022 / Online: 7 November 2022 (02:21:34 CET)

A peer-reviewed article of this Preprint also exists.

Nyabadza, F.; Mushanyu, J.; Mbogo, R.; Muchatibaya, G. Modelling the Influence of Dynamic Social Processes on COVID-19 Infection Dynamics. Mathematics 2023, 11, 963. Nyabadza, F.; Mushanyu, J.; Mbogo, R.; Muchatibaya, G. Modelling the Influence of Dynamic Social Processes on COVID-19 Infection Dynamics. Mathematics 2023, 11, 963.

Abstract

Human behaviour was tipped as the mainstay in the control of further SARS-CoV-2 (COVID-19) spread especially after the lifting of restrictions by many countries. Countries in which restrictions were lifted soon after the first wave, had subsequent waves of the COVID-19 infections and it remains to be seen whether there will be more waves. In this paper, we formulate a deterministic model for COVID-19 incorporating dynamic non-pharmaceutical interventions, dubbed social dynamics. The model steady states are determined and their stability analysed. Numerical simulations are carried out to determine the pack of various parameters that influence the social dynamics. In South Africa, the first wave was the only wave in which the only interventions rested solely on human behavior. The model is thus fitted to COVID-19 data on the first wave in South Africa. The results presented in this paper have implications on the trajectory of the pandemic in the presence of changing social processes.

Keywords

COVID-19; mathematical modelling; stability; dynamic social processes; simulations

Subject

Computer Science and Mathematics, Applied Mathematics

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