Asian Research Journal of Mathematics

The human{infecting corona virus disease (COVID-19) caused by the novel severe acute respiratory syndrome corona virus 2 (SARS-CoV-2) was declared a global pandemic on March11^th, 2020. Different countries adopted different interventions at different stages of the outbreak, with social distancing being the first option while lock down the preferred option for attening the curve at the peak of the pandemic. Lock down aimed at adherence to social distancing, preserve the health system and improve survival. We propose a Susceptible-Exposed- Infected-Expected recoveries (SEIR) mathematical model for the prevention and control of Covid-19 in Uganda. We analyze the model using available data to find the infection-free, endemic/infection steady states and the basic reproduction number. We computed the reproductive number and it worked out as R₀ = 0:468. We note that R₀ is less than unity, thus forecast that several strategies in combination (including travel restrictions, mass media awareness, community buy-in and medical health interventions) will eliminate the disease from the population. However, our model predicts a recurrence of the disease after one year and two months (430 days) thus the population has to be mindful and continuously practice the prevention and control measures. In addition, a sensitivity analysis done showed that the transmission rate and the rate at which persons acquire the virus, have a positive in uence on the basic reproduction number. On other hand the rate of evacuation by a rescue ambulance greatly reduces the reproduction number. The results have potential to inform the impact and effect of early strict interventions including lock down in resource limited settings and social distancing.