Abstract
Dengue is one of the vector-borne diseases spread in most parts of the world. The num-ber of infected individuals is increased each year. This paper proposes a mathematical model describing the secondary dengue viral infection in micro-environment. This model takes into con-sideration that the dengue virus can infect multiple classes of target cells. Due to the secondary infection, the model incorporates two types of antibodies, heterologous and homologous. We estab-lish the well-posedness of the model. We compute three threshold parameters which characterize the existence and stability conditions for the four steady states of the model. Global stability analysis for all steady states is carried out by formulating Lyapunov function and using Lyapunov-LaSalle asymptotic stability theorem. We demonstrate the analytical findings via numerical simulations.(c) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/ 4.0/).