 Abstract COVID-19 remains a significant public health problem in New South Wales, Australia. Although the NSW government has employed various control policies, more specific and effective interventions are necessary to reduce the spread of the virus. This paper proposes a modified CRX model based on a non-linear ordinary differential equations system that takes into account the transmission routes from asymptomatic, exposed, and symptomatic, mild and critical, individuals. The model was fitted to the corresponding cumulative number of cases in metropolitan and rural health districts of NSW reported by the Health Department and parameterized with the least squares method. The basic reproductive number 1023891R01023891R0, which measures the potential spread of COVID-19 in a population, was calculated using the next generation operator method. Sensitivity analysis of the model parameters revealed that the transmission rate had a huge impact on a zero, which could be used as an option for controlling the disease. Two time-dependent control strategies, namely preventive, it refers to efforts to inhibit the virus transmission and prevention of case development from exposed, mild, critical, this article was authored by Azizha Rahman, M.D. Abdelkoudis, Ryan H.L.I.P., and others. We are article.tv, links in the description below.