Background Various mathematical modeling approaches are used to provide a robust framework for understanding the transmission dynamics of infectious diseases in human populations. In an epidemic, models can be used for the analysis of the spread of a disease, forecasting, identifying trends and making parameter estimates which can be used for planning and implementing intervention measures. Methods This study utilizes the classical Susceptible - Infected - Recovered (SIR) model to analyze the evolution of COVID-19 in Zambia during the third wave of infections. The model is fitted to actual COVID-19 data for Zambia for the third wave of the pandemic obtained from the Zambia National Public Health Institute (ZNPHI). The transmission and recovery rates are estimated by minimizing the error between the fitted curve and the real data using the least square approach. Results Model simulations indicate that the basic reproductive number (\({R}_{0}\)) for Zambia is 1.31 meaning that, on average, 1.31 persons are infected for each infected person. At the worst point of the epidemic, we expect that 591,743 people will contract the virus and 7,144 fatalities will be recorded. To prevent the spread of infection, the model estimates that at least 24 percent of the population will need to be vaccinated. With the country's projected population of about 18.91 million, this translates to roughly 4.5 million people. Conclusion The severity of COVID-19 infection, hospitalizations, and deaths in Zambia is substantially higher than national testing data suggests, according to model projections. More modeling work is needed to acquire accurate estimates of the disease burden in society, to inform resource allocation, and to aid mitigation planning, especially in countries that may lack adequate national surveillance systems.
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