The dynamics of Coronavirus pandemic disease model in the existence of a curfew strategy

Abstract

The dynamical behavior of the Coronavirus disease-2019 COVID-19 pandemic model is proposed and analyzed. It is assumed that a curfew strategy is applied to control the outbreak of the disease in addition to a social distancing between the individuals. All the basic properties of the solution including existence, uniqueness, and boundedness are discussed. The basic reproduction number , is determined. The local stability analysis is studied. While the global stability analysis of disease-free equilibrium point is investigated using the method of Castillo-Chavez, however for the endemic equilibrium point, the method of Lyapunov function is used. Furthermore, the local bifurcation of the model at the disease-free equilibrium point is discussed. Finally, the numerical simulations are performed in order to show validation of the theoretical results and determine how changes in parameters affect the dynamical behavior of the system.

Subject Classification: (2010):

• 92D30
• 34D20
• 34D23

Keywords:

• COVID-19
• Curfew
• Stability analysis
• Bifurcation