Covid-19 is a disease that infects the respiratory tract caused a corona virus. This disease has infected human populations around the world which causing a pandemic. The Covid-19 pandemic has become the focus of research on lately. This study aims to construct the latest mathematical model related to the transmission of Covid-19 in the human population. The model that is formed is constructed by considering several epidemiological parameters that are very identical to the actual conditions. In the formation of the model there are many unknown parameters. Therefore, the maximum likelihood method is used to estimate the parameters of the model that is formed. At the start the Covid-19 epidemic model was constructed without control with given assumptions and based on the facts obtained. Then from the model would formed equilibrium point, and basic reproduction number. The next discussion is to designed an optimal control using the Pontryagin Minimum Principle which is applied to reduce the number of people Covid-19 infected by using the backward-forward sweep algorithm. The results of the numerical simulation will later produce an optimal control strategy that is suitable to prevent Covid-19 to be more effective.
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