Analysis of a virus-resistant HIV-1 model with behavior change in non-progressors
DOI:
https://doi.org/10.11145/j.biomath.2020.06.143Keywords:
Resistance, Behavioural change, Partial & Total Abstinence, Goh-Volterra Lyapunov function.Abstract
We develop a virus-resistant HIV-1 mathematical model with behavioural change in HIV-1 resistant non-progressors. The model hasВ both disease-free and endemic equilibrium points that are proved toВ 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 theВ endemic equilibrium point is globally asymptotically stable for specialВ case while the method of Castillo-Chavez was used to prove the globalВ asymptotic stability of the disease-free equilibrium point. In both theВ analytic and numerical results, this study shows that in the context ofВ resistance to HIV/AIDS, total abstinence can also play an importantВ role in protection against this notorious infectious disease.
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