A nonlinear HIV/AIDS model with contact tracing |
| |
Authors: | Ram NareshAgraj Tripathi Dileep Sharma |
| |
Affiliation: | a Department of Mathematics, Harcourt Butler Technological Institute, Kanpur 208002, India b Department of Mathematics, Bhabha Institute of Technology, Kanpur D. 209204, India |
| |
Abstract: | A nonlinear mathematical model is proposed and analyzed to study the effect of contact tracing on reducing the spread of HIV/AIDS in a homogeneous population with constant immigration of susceptibles. In modeling the dynamics, the population is divided into four subclasses of HIV negatives but susceptibles, HIV positives or infectives that do not know they are infected, HIV positives that know they are infected and that of AIDS patients. Susceptibles are assumed to become infected via sexual contacts with (both types of) infectives and all infectives move with constant rates to develop AIDS. The model is analyzed using the stability theory of differential equations and numerical simulation. The model analysis shows that contact tracing may be of immense help in reducing the spread of AIDS epidemic in a population. It is also found that the endemicity of infection is reduced when infectives after becoming aware of their infection do not take part in sexual interaction. |
| |
Keywords: | HIV/AIDS Screening Contact tracing Reproduction number Stability analysis Numerical simulation |
本文献已被 ScienceDirect 等数据库收录! |
|