Modeling the impact of early interventions on the transmission dynamics of coronavirus infection

Abstract

A deterministic model is proposed to describe the transmission dynamics of coronavirus infection with early interventions. Epidemiological studies have employed modeling to unravel knowledge that transformed the lives of families, communities, nations and the entire globe. The study established the stability of both disease free and endemic equilibria. Stability occurs when the reproduction number, R0, is less than unity for both disease free and endemic equilibrium points. The global stability of the disease-free equilibrium point of the model is established whenever the basic reproduction number R0 is less than or equal to unity. The reproduction number is also shown to be directly related to the transmission probability (β), rate at which latently infected individuals join the infected class (δ) and rate of recruitment (Λ). It is inversely related to natural death rate (μ), rate of early treatment (τ1), rate of hospitalization of infected individuals (θ) and Covid-induced death rate (σ). The analytical results established are confirmed by numerical simulation of the model.

Optimal Control Strategies of COVID-19 Dynamics Model

“…All of these studies, however, did not analyze the COVID-19 vaccine epidemic optimal control model with cost efectiveness analysis. In this paper, the model [24] is extended to the optimal control with cost efectiveness strategies. Moreover, the parameters are estimated using real data of confrmed cases from October 1, 2022 to October 30, 2022 in Ethiopia.…”

Mathematical Analysis of COVID-19 Transmission Dynamics Model in Ghana with Double-Dose Vaccination and Quarantine

“…Some common symptoms of COVID-19 infection include dry cough, fever, fatigue, breathing difficulty, and bilateral lung infiltration in severe cases similar to those caused by SARS-CoV and MERS-CoV infections [ 2 ]. Mostly, the infected people develop symptoms within an incubation period ranging from 2 to 14 days [ 3 ]. Currently, in Ghana, the combination of azithromycin, vitamin C, zinc, and some fever and pain killer medications seems to be working.…”