Dengue viral infections show unique
infection patterns arising from its four serotypes, (DENV-1,2,3,4). Its effects range from simple
fever in primary
infections to potentially fatal
secondary infections. We analytically and numerically analyse virus dynamics and humoral response in a host during primary and secondary
dengue infection for long periods using micro-epidemic models. The models presented here incorporate time delays, antibody dependent enhancement, a dynamic switch and a correlation factor between different DENV serotypes. We find that the viral load goes down to undetectable levels within 7-14 days as is observed for
dengue infection, in both cases. For primary
infection, the stability analysis of steady states shows interesting dependence on the time delay involved in the production of
antibodies from plasma cells. We demonstrate the existence of a critical value for the immune response parameter, beyond which the
infection gets completely cured. For
secondary infections with a different serotype, the homologous antibody production is enhanced due to the influence of
heterologous antibodies. The antibody production is also controlled by the correlation factor, which is a measure of similarities between the different DENV serotypes involved. Our results agree with clinically observed humoral responses for primary and
secondary infections.