Global behavior of a multi-group SEIR epidemic model with age structure and spatial diffusion
This paper presents global stability analysis of a multi-group SEIR epidemic model with age structure and diffusion. The authors study the positivity, boundedness, existence, uniqueness of solution and the existence of compact global attractor of the solution semiflow. By constructing a suitable Lyapunov functionals, the LaSalle's invariance principle, and graph theoretical results, they show the global stability of the disease-free steady state and the endemic steady state.
scientific article; zbMATH DE number 7390454
scientific article