ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXV, 2 (2006)
p. 185 - 198

Degenerate diffusive SEIR model with logistic population control
T. Aliziane and M. Langlais


Abstract.  In this paper we analyze the global existence and eventually uniform bound and the existence of periodic solution for a reaction diffusion system with degenerate diffusion arising in modelling the spatial spread of an epidemic disease. We also obtain the existence of the global attractor.

Keywords.  Reaction-diffusion equations, degenerate equation, global existence, periodic solution, attractors, population dynamics.

AMS Subject classification.  Primary: 35K57, 35K65, 74G25; Secondary: 35B10, 35B41, 92D30.

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