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Qualitative behaviour of an integral equation related to some epidemic model

Brestovanská E.

Demonstratio Mathematica

2003

Vol. 36, nr 3

603--609

Sufficient conditions for the uniqueness, global existence and for the convergence to zero when t -> oo of solutions of an integral equation related to an epidemic model are proved. The existence result is proved by applying the Banach fixed point theorem and for the proof of the convergence result a new type of integral inequality is used.