| Volume 10, Number 5, 2020, Pages 1800-1822 DOI：10.11948/20190209 |
| Dynamics of a viral infectiology under treatment |
| Shohel Ahmed,Md. Kamrujjaman,Sumaiya Rahman |
| Keywords:Mathematical modelling, stability analysis, critical drug efficacy, parameter estimation. |
| Abstract: |
| This paper deals with a nonlinear model of the viral dynamics which describes the interactions between the human immune system and the virus. The novelty of this work is the introduction of combined treatments in the dynamics to modify the model. We investigate the qualitative behavior of the model and find a threshold parameter that guarantees the asymptotic stability of the equilibrium points, this parameter is known as the basic reproduction number. We estimated the parameters of the model by least-squares minimization between the numerical solution of the system and clinical data of cell cultures. It is also demonstrated that critical drug efficacy in terms of the model parameter is greatly useful to curtail the spreading of the disease. |
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