HIV-1 Infection Model of CD4+ T-Cells with Antiviral Drug Therapy

A mathematical model from Jiangsu University investigates HIV-1 infection dynamics in CD4+ T-cells under antiviral therapy. The research applies three computational schemes—the modified Khater method, extended simplest equation method, and sech–tanh method—using the Atangana–Baleanu fractional derivative operator to find analytical wave solutions. The stability of solutions is analyzed via Hamiltonian system characteristics, and results are compared to prior work.

Use Cases

• Simulating HIV-1 viral population evolution based on the described fractional mathematical model
• Testing computational methods for solving nonlinear partial differential equations in biological systems
• Comparing analytical solution stability using Hamiltonian system characteristics mentioned in the description
• Visualizing dynamical behavior of virus-particle population systems under specific parameter conditions

Strengths

• Model employs the Atangana–Baleanu fractional derivative operator, a non-singular approach
• Analysis includes stability investigation of solutions using Hamiltonian system characteristics
• Results are compared in detail to previous work to demonstrate novelty

Limitations

• Row count is unknown, which may limit suitability assessment
• Column-level documentation is absent; field semantics must be inferred after download
• Last update date is unknown; freshness unverified

Provenance

Source

Mostafa M. A. Khater at Jiangsu University

Collection Method

Mathematical modeling and computational analysis applied to a biological system