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.
On the nonlinear stability of an epidemic SEIR reaction-diffusion model / Capone, Florinda; DE LUCA, Roberta; DE CATALDIS, Valentina. - In: RICERCHE DI MATEMATICA. - ISSN 1827-3491. - 62:1(2013), pp. 161-181. [10.1007/s11587-013-0151-y]
On the nonlinear stability of an epidemic SEIR reaction-diffusion model
CAPONE, FLORINDA;DE LUCA, ROBERTA;DE CATALDIS, VALENTINA
2013
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.File in questo prodotto:
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