Well-posedness and qualitative analysis of a SEIR model with spatial diffusion for COVID-19 spreading
Keywords:Abstract differential equations, COVID-19, SEIR compartmental model, Semigroup theory
In this paper, we study the well-posedness and the qualitative behavior of equilibria of a SEIR epidemic models with spatial diffusion for the spreading of COVID-19. The well-posedness of the model is proved using both the Semigroup Theory of sectorial operators and existence results for abstract parabolic differential equations. The asymptotical local stability of both disease-free and endemic equilibria are established using standard linearization theory, and confirmed by illustrative numerical simulations. The asymptotical global stability of both disease-free and endemic equilibria are established using a Lyapunov function.
Copyright (c) 2023 José Paulo Carvalho dos Santos, Evandro Monteiro, José Claudinei Ferreira, Nelson Henrique Teixeira Lemes, Diego Samuel Rodrigues
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