# Analytical insights of the effects of Non-Pharmaceutical Interventions on SRAS-CoV-2 Dynamic with Application to West African Data

## Authors

• Kassifou Traore Laboratory of Biomathematics and Forestry Estimations, University of Abomey-Calavi, Benin
• Djideme F. Houenou Laboratory of Biomathematics and Forestry Estimations, Department of Mathematic/Faculty of Sciences and Technics, University of Abomey-Calavi, Benin
• Romain Glèlè Kakaï Laboratory of Biomathematics and Forestry Estimations, University of Abomey-Calavi, Benin

## Keywords:

heterogeneous population, reproduction number, sensitivity and elasticity, transmission rate, type of control measures, mechanistic model

## Abstract

The COVID-19 pandemic was caused by the rapid spread of a new coronavirus (SARS-CoV-2) worldwide. COVID-19 pandemic mitigation measures caused significant social and economic disruption, especially in regions with weak economic and fragile healthcare systems like West Africa. Therefore, accurate knowledge of the impact of these measures on its dynamics is important in decision-making. In this study, we formulated and used a deterministic compartmental model, considering two sub-classes of susceptible individuals (S1 and S2), where S1 is the population living around the epicenter of the epidemic and S2 is the population living far from the epicenter of the epidemic. The aim was to (i) theoretically assess the impact of measures reducing the transmission rate of the disease (ψ) on the epidemic dynamics and (ii) analyze the impact of measures reducing the probability of contact between infected and susceptible individuals (detection and isolation rates, θap, θs) on the epidemic dynamics. We determined the expressions of the basic and control reproduction numbers and studied the sensitivity and elasticity of the control reproduction number with respect to ψ, θap, θs, and heterogeneity factor, k(S1/S2). Application to the COVID-19 first-wave data from West Africa revealed that the basic reproduction number was 1.85. Moreover, the results indicated that a 50% reduction in the transmission rate of COVID-19 or the detection and isolation of 10% of infected individuals per day should help to reach the peak of the epidemic. Furthermore, a 100% increase in the heterogeneity factor induces a 16% increase in the control reproduction number when θap = 0.15 and a 14% increase in the control reproduction number when θap = 0.6. These conclusions could help design control measures to curtail future epidemics.

2023-12-20

## How to Cite

1.
Traore K, Houenou DF, Glèlè Kakaï R. Analytical insights of the effects of Non-Pharmaceutical Interventions on SRAS-CoV-2 Dynamic with Application to West African Data. Contemp. Math. [Internet]. 2023 Dec. 20 [cited 2024 Jul. 14];4(4):1310-3. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2868

Research Article