Abstract

<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 <italic>R</italic><sub>0</sub> is given and its threshold properties are discussed. We investigate the global asymptotic stability of disease-free equilibrium <italic>E</italic><sub>0</sub> and infection equilibrium without defective interfering particles <italic>E</italic><sub>1</sub> by utilizing Lyapunov function and LaSalleos invariance principle. For infection equilibrium with defective interfering particles <italic>E</italic><sub>2</sub>, stability and Hopf bifurcation results are presented. Numerical simulation is also given to demonstrate the applicability of the theoretical predictions. </abstract>

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