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A Discrete Model for HIV Infection with Distributed Delay
Author(s) -
Brahim El Boukari,
Khalid Hattaf,
Noura Yousfi
Publication year - 2014
Publication title -
international journal of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 20
eISSN - 1687-9651
pISSN - 1687-9643
DOI - 10.1155/2014/138094
Subject(s) - discretization , lag , human immunodeficiency virus (hiv) , stability (learning theory) , mathematics , time lag , continuous modelling , distributed lag , statistical physics , control theory (sociology) , mathematical analysis , virology , computer science , biology , econometrics , physics , control (management) , artificial intelligence , computer network , machine learning
We give a consistent discretization of a continuous model of HIV infection, with distributed time delays to express the lag between the times when the virus enters a cell and when the cell becomes infected. The global stability of the steady states of the model is determined and numerical simulations are presented to illustrate our theoretical results

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