José Paulo Carvalho dos Santos, Evandro Monteiro, J. C. Ferreira, Nelson Henrique Teixeira Lemes, D. S. Rodrigues
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引用次数: 0
Abstract
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.
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