Abundant stable computational solutions of Atangana-Baleanu fractional nonlinear HIV-1 infection of CD4+ T-cells of immunodeficiency syndrome

The computational solutions for the fractional mathematical system form of the HIV-1 infection of CD4(+) T-cells are investigated by employing three recent analytical schemes along the Atangana-Baleanu fractional (ABF) derivative. This model is affected by antiviral drug therapy, making it an accurate mathematical model to predict the evolution of dynamic population systems involving virus particles. The modified Khater (MKhat), sech-tanh expansion (STE), extended simplest equation (ESE) methods are handled the fractional system and obtained many novel solutions. The Hamiltonian system's characterizations are used to investigate the stability property of the obtained solutions. Additionally, the solutions are sketched in two-dimensional to demonstrate a visual representation of the relationship between variables.

Automated summary

This study investigated computational solutions for the fractional mathematical system form of HIV-1 infection of CD4(+) T-cells using three recent analytical schemes and the Atangana-Baleanu fractional derivative. The model, affected by antiviral drug therapy, accurately predicts the evolution of dynamic population systems involving virus particles. Multiple novel solutions were obtained using modified Khater (MKhat), sech-tanh expansion (STE), and extended simplest equation (ESE) methods, with the stability of the solutions analyzed using the Hamiltonian system's characterizations and visual representations of variable relationships in two dimensions.