A Chronic Viral Disease MERS-Corona Model Presenting with Optimal Control Strategy

From 12 January to 31 May 2018, the National IHR Focal Point of The Kingdom of Saudi Arabia reported 75 laboratory confirmed cases of Middle East respiratory syndrome corona virus (MERS-CoV), including twentythree deaths reports. So it is the responsibility of WHO and all the developed countries to take action on time when an outbreak is detected. In this article the transmission of infection in human population is though by camel, which lead an epidemiological mathematical model. For this purpose, we find reproductive number R ₀ and all the endemic points of the proposed model. The stability analysis are derived in the presence of reproductive number, while for global stability we introduced Lyapunov function. Here we try to control the spread of infection, for that order, we use η ₁, η ₂, η ₃ control variables to maximize susceptible and recovered individuals, and trying to reduce infected individuals in number. Finally, numerical simulation is presented with and with out vaccination.