Journal
RICERCHE DI MATEMATICA
Volume 62, Issue 1, Pages 161-181Publisher
SPRINGER-VERLAG ITALIA SRL
DOI: 10.1007/s11587-013-0151-y
Keywords
Stability; Epidemic models; Reaction-diffusion systems; Absorbing sets; Lyapunov direct method
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Funding
- G.N.F.M. of I.N.d.A.M.
- Programma F.A.R.O. (Finanziamenti per l' Avvio di Ricerche Originali, III tornata), Polo delle Scienze e Tecnologie, Universita degli Studi di Napoli Federico II
- Polo delle Scienze e Tecnologie, Universita degli Studi di Napoli Federico II
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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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