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An Epidemic Model With Post-Contact Prophylaxis of Distributed Length II. Stability and Oscillations if Treatment is Fully Effective

H. R. Thieme, A. Tridane, Y. Kuang (2008)

Mathematical Modelling of Natural Phenomena

A possible control strategy against the spread of an infectious disease is the treatment with antimicrobials that are given prophylactically to those that had contact with an infective person. The treatment continues until recovery or until it becomes obvious that there was no infection in the first place. The model considers susceptible, treated uninfected exposed, treated infected, (untreated) infectious, and recovered individuals. The overly optimistic assumptions are made that treated uninfected...

On monotonic solutions of some integral equations

J. Caballero, Donal O'Regan, K. B. Sadarangani (2005)

Archivum Mathematicum

The aim of this paper is to obtain monotonic solutions of an integral equation of Urysohn-Stieltjes type in C [ 0 , 1 ] . Existence will be established with the aid of the measure of noncompactness.

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