On the nonlinear stability of an epidemic SEIR reaction-diffusion model

CAPONE, FLORINDA
DE LUCA, ROBERTA
DE CATALDIS, VALENTINA

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Publication date

January 2013

DOI

10.1007/s11587-013-0151-y

Publisher

Springer Science and Business Media LLC

ISSN

0035-5038

Citation count (estimate)

Abstract

This paper deals with a reaction-diffusion SEIR model for infections. The longtime behaviour of the solutions is analyzed and, in particular, absorbing sets in the phase space are determined. By using a peculiar Lyapunov function, the nonlinear asymptotic stability of endemic equilibrium is investigated

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On the nonlinear stability of an epidemic SEIR reaction-diffusion model

Abstract

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On the nonlinear stability of an epidemic SEIR reaction-diffusion model

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