This study discussed the SEIHCRD mathematical model with social distancing and mass testing for the spread of COVID-19. The model consists of seven subpopulations, namely a subpopulation of susceptible individuals (S), a subpopulation of exposed individuals (E), a subpopulation of infected individuals (I), a subpopulation of hospitalized individuals (H), a subpopulation of critical individuals (C), a subpopulation of recovered individuals (R), and the subpopulation of individuals who died (D). Dynamic analysis was carried out by determining the equilibrium point, local stability analysis of the equilibrium point, and the basic reproduction number (R₀). The results of the dynamic analysis obtained two equilibrium points, namely the disease-free equilibrium point (E₀) and the endemic equilibrium point (E₁). The equilibrium point E₀ is locally asymptotically stable if R₀1. Sensitivity analysis was carried out to determine the parameter that affect on the basic reproduction number. Based on the results, it is found that parameter of social distancing and mass testing has a negative sensitivity index, which means that by increasing the value of these parameters, so R₀ will decrease. Then, numerical simulations shown that when R₀1 the solution goes to an equilibrium point E₁. The SEIHCRD model simulation with social distancing and mass testing which is applied to daily cases in Indonesia had the results that effectiveness of social distancing in Indonesia is 55% and mass testing is 20%.
Qur'ani et al. (Mon,) studied this question.