This paper deals with a reaction-diusion SEIR model for infections under homogeneous Neumann boundary conditions. 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 stability of a SEIR reaction diffusion model for infections under Neumann boundary conditions / Capone, Florinda; DE LUCA, Roberta; DE CATALDIS, Valentina. - In: ACTA APPLICANDAE MATHEMATICAE. - ISSN 0167-8019. - 132:(2014), pp. 165-176. [10.1007/s10440-014-9899-7]
On the stability of a SEIR reaction diffusion model for infections under Neumann boundary conditions
CAPONE, FLORINDA;DE LUCA, ROBERTA;DE CATALDIS, VALENTINA
2014
Abstract
This paper deals with a reaction-diusion SEIR model for infections under homogeneous Neumann boundary conditions. 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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