An epidemic model with transport-related infection incorporating awareness and screening

In this paper, an SWEIQR epidemic model with transport-related infection is proposed. The model considers inter-patch travel with entry-departure screening. The reproduction number, [Formula: see text] , is computed and analyzed with respect to awareness and screening parameters. The analytic computations show that the disease-free equilibrium in the absence of travel is globally asymptotically stable when [Formula: see text] and unstable otherwise. The trans-critical bifurcation occurs at [Formula: see text] and the locally stable endemic equilibrium point appears if [Formula: see text] near to [Formula: see text] . The numerical simulations are performed to verify the analytical computation and explore the dynamic behavior with respect to different model parameters. The result shows that disseminating awareness through the population reduces the spread of disease. Furthermore, the full model results show that the departure screening may reduce the spread of disease in each patch.