| contributor author | Pinto, Carla M. A. | |
| contributor author | Carvalho, Ana R. M. | |
| date accessioned | 2019-02-28T11:12:01Z | |
| date available | 2019-02-28T11:12:01Z | |
| date copyright | 7/26/2018 12:00:00 AM | |
| date issued | 2018 | |
| identifier issn | 1555-1415 | |
| identifier other | cnd_013_09_090904.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4253750 | |
| description abstract | We introduce a fractional order model for the human immunodeficiency virus (HIV) dynamics, where time-varying drug exposure and drug resistance are assumed. We derive conditions for the local and global asymptotic stability of the disease-free equilibrium. We find periodic stable endemic states for certain parameter values, for sinusoidal drug efficacies, and when considering a density-dependent decay rate for the T cells. Other classes of periodic drug efficacies are considered and the effect of the phases of these functions on the dynamics of the model is also studied. The order of the fractional derivative plays an important role in the severity of the epidemics. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Fractional Dynamics of an Infection Model With Time-Varying Drug Exposure | |
| type | Journal Paper | |
| journal volume | 13 | |
| journal issue | 9 | |
| journal title | Journal of Computational and Nonlinear Dynamics | |
| identifier doi | 10.1115/1.4038643 | |
| journal fristpage | 90904 | |
| journal lastpage | 090904-16 | |
| tree | Journal of Computational and Nonlinear Dynamics:;2018:;volume( 013 ):;issue: 009 | |
| contenttype | Fulltext | |