Authors of the research, published Friday in the journal BMJ Global Health, predicted a lower infection rate than in other parts of the world like Europe and the US, with fewer severe cases and deaths.
The study comes amid stark warnings that Covid-19 threatens a health emergency in developing nations where fragile health systems are already struggling with an array of other chronic diseases.
Experts at the World Health Organization's Africa office modelled likely rates of exposure to the virus and infection in the 47 countries under its regional remit, which excludes Djibouti, Egypt, Libya, Morocco, Somalia, Sudan and Tunisia.
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Researchers warned that surging hospital admissions for Covid-19 would divert already limited resources to tackle major health issues in the region, such as HIV, tuberculosis, malaria and malnutrition, worsening the impact of coronavirus.
The authors calculated this risk by looking at each country's "gathering factor" (including family size and population density), people's likely ease of movement, sanitation and hygiene practices.