Analysis of a virus-resistant HIV-1 model with behavior change in non-progressors
- Resource Type
- article
- Authors
- Musa Rabiu; Robert Willie; Nabendra Parumasur
- Source
- Biomath, Vol 9, Iss 1 (2020)
- Subject
- resistance
behavioural change
partial & total abstinence
goh-volterra lyapunov function.
Biology (General)
QH301-705.5
Mathematics
QA1-939
- Language
- English
- ISSN
- 1314-684X
1314-7218
We develop a virus-resistant HIV-1 mathematical model with behavioural change in HIV-1 resistant non-progressors. The model has?both disease-free and endemic equilibrium points that are proved to?be locally asymptotically stable depending on the value of the associated reproduction numbers. In both models, a non-linear Goh{Volterra Lyapunov function was used to prove that the?endemic equilibrium point is globally asymptotically stable for special?case while the method of Castillo-Chavez was used to prove the global?asymptotic stability of the disease-free equilibrium point. In both the?analytic and numerical results, this study shows that in the context of?resistance to HIV/AIDS, total abstinence can also play an important?role in protection against this notorious infectious disease.