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Asymptotic behavior for an SIS epidemic model and its approximation. (English) Zbl 0921.92029

The study is devoted to an age-structured epidemic model of the S-I-S type and to the analysis of the global dynamic behaviour when the population density converges uniformly to a steady state. References are made to other studies written by the first author on considering the non-autonomous case, the numerical approximation of the model with the population density, the case of a general form of force of infection. The techniques of analysis applied – quite different of the normally utilized ones – are based on the monotonocity properties of the equations.
There follow ample demonstrations on the S-I-S epidemic model, abstract formulations, the approximation problem, comparisons between different problems, the numerical method and convergence, asymptotic behaviour, etc.
Reviewer: C.Irimia (Iaşi)

MSC:

92D30 Epidemiology
35Q92 PDEs in connection with biology, chemistry and other natural sciences
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