STABILITY ANALYSIS OF A VIRAL IMMUNE RESPONSE MODEL INVOLVING TWO TIME DELAYS

We study the qualitative behaviour of the homogeneous in space solution of a two delays differential equation arising from an immune response mathematical model. We use the monotone dynamical systems framework. First, existence and smoothness of solutions are investigated. Then, sufficient conditions of the free-infection and the endemic equilibriums asymptotic stability are derived for different types of the function representing the efficiency of immune response-mediated virus elimination. Then, we use clinical data to calibrate the differential equation and illustrate the analytical results by numerical simulation with the obtained parameters values. © 2023 Academic Publications. All Rights Reserved.