Stability Analysis of Caputo Fractional Order Viral Dynamics of Hepatitis B Cellular Infection

Stability Analysis of a Fractional Order Model of HIV virus and AIDS Infection in the Community

In  this  paper a  non-linear  model  with  fractional  order  is  presented  for  analyzing  and  controlling the  spread  of  HIV virus.  Both  the  disease-free  equilibrium and the endemic equilibrium are  found  and  their  stability is  discussed. The basic reproduction number , which is a function of the constant parameters in the model, plays an essential  role in the stability of  the ...

Viral dynamics in hepatitis B virus infection.

Treatment of chronic hepatitis B virus (HBV) infections with the reverse transcriptase inhibitor lamivudine leads to a rapid decline in plasma viremia and provides estimates for crucial kinetic constants of HBV replication. We find that in persistently infected patients, HBV particles are cleared from the plasma with a half-life of approximately 1.0 day, which implies a 50% daily turnover of th...

Stability analysis of fractional-order nonlinear Systems via Lyapunov method

‎In this paper‎, ‎we study stability of fractional-order nonlinear dynamic systems by means of Lyapunov‎ ‎method‎. ‎To examine the obtained results‎, ‎we employe the developed techniques on test examples‎.

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

Stability analysis of a fractional-order HBV infection model

In this paper, we introduce a fractional-order HBV infection model. We show the existence of non-negative solutions of the model, and also give a detailed stability analysis of the disease-free and endemic equilibria. Numerical simulations are presented to illustrate the results. MSC: 92B05 • 26A33