A nonlinear mathematical model with distributed delay is proposed to describe the reaction of a human organism to a pathogen agent. The stability of the disease free state is analyzed, showing that there exists a large set of initial conditions in the attraction basin of the disease-free state whose border is defined as the immunological barrier.
@article{bwmeta1.element.bwnjournal-article-zmv24i3p289bwm,
author = {I. Barradas},
title = {Immunological barrier for infectious diseases},
journal = {Applicationes Mathematicae},
volume = {24},
year = {1997},
pages = {289-297},
zbl = {0880.34077},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv24i3p289bwm}
}
Barradas, I. Immunological barrier for infectious diseases. Applicationes Mathematicae, Tome 24 (1997) pp. 289-297. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv24i3p289bwm/
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