J. Appl. Math. Comput. https://doi.org/10.1007/s12190-018-1196-6 ORIGINAL RESEARCH Drug therapy model with time delays for HIV infection with virus-to-cell and cell-to-cell transmissions Nicoleta Tarfulea Received: 13 February 2018 © Korean Society for Computational and Applied Mathematics 2018 Abstract In this paper, we analyze models of drug therapy for a HIV model with multiple delays considered in Chen et al. (J Math Anal Appl 442:642–672, 2016). As expected, in the presence of perfect inhibitors the populations of infected cells, virus, and effector cells decay exponentially to zero. When protease inhibitors are used, the production of infectious virions is diminished, as shown in our drug therapy model. First, we prove that the solution is positive and bounded from above. Our main result states that both the infected cell and infectious virus populations are asymptotically bounded by terms proportional to 1 − η, where η ∈[0, 1] represents the protease inhibitor(s) effectiveness. Furthermore, under an additional condition, the infectious virus population is asymptotically bounded by a constant multiple of (1 − η) . Keywords HIV infection · Treatment · Protease inhibitors · Delay · Stability Mathematics Subject Classiﬁcation 34A34 · 34D20 · 37N25 · 92B05 1 Introduction The human immunodeﬁciency virus (HIV) has
Journal of Applied Mathematics and Computing – Springer Journals
Published: Jun 4, 2018
It’s your single place to instantly
discover and read the research
that matters to you.
Enjoy affordable access to
over 18 million articles from more than
15,000 peer-reviewed journals.
All for just $49/month
Query the DeepDyve database, plus search all of PubMed and Google Scholar seamlessly
Save any article or search result from DeepDyve, PubMed, and Google Scholar... all in one place.
Get unlimited, online access to over 18 million full-text articles from more than 15,000 scientific journals.
Read from thousands of the leading scholarly journals from SpringerNature, Elsevier, Wiley-Blackwell, Oxford University Press and more.
All the latest content is available, no embargo periods.
“Hi guys, I cannot tell you how much I love this resource. Incredible. I really believe you've hit the nail on the head with this site in regards to solving the research-purchase issue.”Daniel C.
“Whoa! It’s like Spotify but for academic articles.”@Phil_Robichaud
“I must say, @deepdyve is a fabulous solution to the independent researcher's problem of #access to #information.”@deepthiw
“My last article couldn't be possible without the platform @deepdyve that makes journal papers cheaper.”@JoseServera