A dynamic model for covid-19 therapy with defective interfering particles and artificial antibodies∗

ABSTRACT

In this paper, we use ordinary differential equations to propose a mathematical model for COVID-19 therapy with both defective interfering particles and artificial antibodies. For this model, the basic reproduction number R0 is given and its threshold properties are discussed. We investigate the global asymptotic stability of disease-free equilibrium E0 and infection equilibrium without defective interfering particles E1 by utilizing Lyapunov function and LaSalle’s invariance principle. For infection equilibrium with defective interfering particles E2, stability and Hopf bifurcation results are presented. Numerical simulation is also given to demonstrate the applicability of the the-oretical predictions. © 2021, Wilmington Scientific Publisher. All rights reserved.