Modeling and sensitivity of dengue viral dynamics

In this paper we focus on describing the dynamics of dengue virus, using a compartment type model with time delay that occurs during the production of antibodies. We study the dynamics of healthy cells, infected cells, B-cells of the human body, viruses and antibodies where immunity is provided by the activation of B cells into plasma cells and maturation of plasma cells into antibodies (humoral immune response). Stability regions are identified with respect to the external variables and it is observed as the virus burst rate increases, the stability regions would decrease. Further, a sensitivity index is introduced to find the parameters that have a high impact on the reproduction n umber R0. In addition results indicate as the conversion rate of healthy cells into infected cells increases, the viral load in the body and the antibody production also increases which agrees with theory presented on humoral immune response and the viral load goes to negligible levels within 7-14 days as observed in dengue infection.