Mers model of thai and south korean population

Coronavirus (MERS-Cov) caused the occurrence of Corona. First infected case was reported in 2012 during a poultry outbreak in Saudi Arabia. After that, there were the reports of the sporadic outbreaks in all regions. In this study, we considered the transmission cycle between two population groups: Thai and South Korea. Each population group was divided into susceptible, exposed, infected, quarantine and recovered groups. The behaviors of the solutions were obtained using a standard dynamical modeling method. The stability conditions for the disease free equilibrium state and disease endemic equilibrium states were determined. The basic reproductive number R 0 is obtained. When R 0 <1, the disease-free state was locally asymptotically stable. If R 0 >1, the endemic equilibrium state was locally asymptotically stable. The numerical solutions were shown for supporting the theoretical results. We found that when we decreased α 1 (the rate of susceptible Thai human changes to become an exposed Thai human and μ 1 (the rate at which South Korean population moved out the country), the number of coronavirus case was decreased and outburst of coronavirus epidemic was shorter.