文摘
We study a fractional order model for HIV infection where latent T helper cells are included. We compute the reproduction number of the model and study the stability of the disease free equilibrium. We observe that the reproduction number varies with the order of the fractional derivative formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716302539&_mathId=si2.gif&_user=111111111&_pii=S0377042716302539&_rdoc=1&_issn=03770427&md5=74c1652979b35a8bb44cbae3d86dadc9" title="Click to view the MathML source">α. In terms of epidemics, this suggests that varying formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716302539&_mathId=si2.gif&_user=111111111&_pii=S0377042716302539&_rdoc=1&_issn=03770427&md5=74c1652979b35a8bb44cbae3d86dadc9" title="Click to view the MathML source">α induces a change in the patients’ epidemic status. Moreover, we simulate the variation of relevant parameters, such as the fraction of uninfected CD4formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716302539&_mathId=si71.gif&_user=111111111&_pii=S0377042716302539&_rdoc=1&_issn=03770427&md5=e74e1bbfe1e5c95b753e569bba39369c" title="Click to view the MathML source">+ T cells that become latently infected, and the CTLs proliferation rate due to infected CD4formulatext stixSupport mathImg" data-mathURL="/science?_ob=MathURL&_method=retrieve&_eid=1-s2.0-S0377042716302539&_mathId=si71.gif&_user=111111111&_pii=S0377042716302539&_rdoc=1&_issn=03770427&md5=e74e1bbfe1e5c95b753e569bba39369c" title="Click to view the MathML source">+ T cells. The model produces biologically reasonable results.