A mathematical and numerical analysis of a compartmental model for a single strain dengue epidemic in the presence of vaccination

Dengue disease has presently emerged as an alarming public health concern of mounting significance with the unprecedented number of cases reported worldwide annually, especially from the tropics and subtropics. It is currently considered as the most critical vector borne viral disease in the world due to the acute health, social and economic issues that it causes in the endemic countries. Further, human mobility, climate change, rapid urbanization and public unawareness have led to a substantial dissemination of dengue in new geographical settings with explosive outbreaks. Also, the disease burden has aggravated due to the unavailability of specific clinical therapeutics and effective vaccines for the dengue disease. In such a context, this paper intends to investigate the dynamics of dengue disease in the presence of hypothetical vaccination strategies. Thus, we use a classical compartmental model with mathematical and numerical analyses in order to emphasize the importance of vaccination as an effective measure of disease control. We are hence of the belief that this paper will be a source of motivation for the medical scientists involved in the development of vaccine candidates for the dengue disease.