A FRACTIONAL ORDER HIV/AIDS MODEL USING CAPUTO-FABRIZIO OPERATOR

Background: HIV is a virus that directed at destroying the human immune system thereby exposing body to risk of been affected by other common illnesses and if it not treated, generates more chronic illness called AIDS. Materials Methods: In this paper, we employed fixed-point theory in developing uniqueness existence solution fractional order HIV/AIDS model having Caputo-Fabrizio operator. This approach adopted work conventional when solving biological models derivatives. Results: The results showed has two equilibrium points namely, disease-free, endemic points, respectively. We conditions necessitating point disease-free locally asymptotically stable. also tested stability our using iterative Laplace transform method on which was shown stable agreeing with equilibrium. Conclusions: Numerical simulations clear comparison analytical results. numerical solutions show given operator like operator, less noisy plays major role making precise decision gives room (‘freedom’) use data specific patients as can be easily adjusted accommodate this, better fit for patients’ provide meaningful predictions. Finally, result advantage derivative analysis dynamics over classical case.