Global existence and asymptotic behaviour for a degenerate diffusive SEIR model

T. Aliziane , Michel Langlais (1, 2)

1 ANUBIS - Tools of automatic control for scientific computing, Models and Methods in Biomathematics
2 IMB - Institut de Mathématiques de Bordeaux

In this paper we analyze the global existence and asymptotic behavior of a reaction diusion system with degenerate diusion arising in modeling the spatial spread of an epidemic disease.

Keywords: population dynamics; Global existence; asymptotic behavior; degenerate equation; reaction-diusion equations; population dynamics.

Domains: Analysis of PDEs [math.AP]

T. Aliziane, Michel Langlais. Global existence and asymptotic behaviour for a degenerate diffusive SEIR model. Electronic Journal of Qualitative Theory of Differential Equations, 2005, 2, pp.1-15. ⟨hal-00195442⟩