<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">LIANCHENG WANG</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">GLOBAL MATHEMATICAL ANALYSIS OF AN HIV-1 INFECTION MODEL WITH HOLLING TYPE-II INCIDENCE</style></title><secondary-title><style face="normal" font="default" size="100%">Communications in Applied Analysis</style></secondary-title><short-title><style face="normal" font="default" size="100%">GLOBAL ANALYSIS OF AN HIV MODEL</style></short-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">34A34</style></keyword><keyword><style  face="normal" font="default" size="100%">34D23</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">01/2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.acadsol.eu/en/articles/15/1/4.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">15</style></volume><pages><style face="normal" font="default" size="100%">56</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;div class=&quot;rtejustify&quot;&gt;In this paper, we study an HIV-1 infection mathematical model with Holling typeII incidence. Both local and global mathematical analysis is carried out. By identifying a basic reproduction number R 0 , we show that if R&lt;sub&gt;0&lt;/sub&gt; ≤ 1, the uninfected steady state P&lt;sub&gt;0&lt;/sub&gt; is the only equilibrium in the feasible region, and P&lt;sub&gt;0&lt;/sub&gt; is globally asymptotically stable. Therefore, no HIV-1 infection persists and infected T cells and HIV-1 virus are cleared over time. However, if R&lt;sub&gt;0&lt;/sub&gt; &amp;gt; 1, a unique infected steady state P&lt;sup&gt;∗&lt;/sup&gt; emerges in the interior of the feasible region and P&lt;sub&gt;0&lt;/sub&gt; becomes unstable. We show that the system is uniformly persistent and the unique infected steady state P&lt;sup&gt;∗&lt;/sup&gt; is globally asymptotically stable in the interior of the feasible region. Therefore, HIV-1 infection persists and the concentrations of the healthy cells, infected cells, and HIV-1 virus will settle at the level of P&lt;sup&gt;∗&lt;/sup&gt;.&lt;/div&gt;
</style></abstract><issue><style face="normal" font="default" size="100%">1</style></issue><work-type><style face="normal" font="default" size="100%">scientific: mathematics</style></work-type><section><style face="normal" font="default" size="100%">47</style></section></record></records></xml>