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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Acta Mathematica Universitatis Comenianae
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