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Within‐host and synaptic transmissions: contributions to the spread of HIV infection
Author(s) -
Carvalho Ana R. M.,
Pinto Carla M. A.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4047
Subject(s) - basic reproduction number , human immunodeficiency virus (hiv) , stability (learning theory) , host (biology) , transmission (telecommunications) , mathematics , reproduction , dynamics (music) , statistical physics , mathematical economics , virology , econometrics , biology , computer science , ecology , demography , physics , sociology , telecommunications , population , machine learning , acoustics
We study the contributions of within‐host (virus‐to‐cell) and synaptic (cell‐to‐cell) transmissions in a mathematical model for human immunodeficiency virus epidemics. The model also includes drug resistance. We prove the local and global stability of the disease‐free equilibrium and the local stability of the endemic equilibrium. We analyse the effect of the cell‐to‐cell transmission rate on the value of the reproduction number, R 0 . Moreover, we show evidence of a qualitative change in the models' dynamics, subjected to the value of the drug efficacy. In the end, important inferences are drawn. Copyright © 2016 John Wiley & Sons, Ltd.