The coronavirus disease 2019 (COVID-19) pandemic has caused a major global healthcare crisis, and the fields of science and medicine have been engaged in a massive effort to control and prevent the resultant deaths and morbidity. Researchers and pharmaceutical companies have developed in record time vaccines against COVID-19 that are intended to be safe and effective; however, the short validation time has been a challenge for doctors and epidemiologists, especially in light of the increase in reports emerging from various parts of the world about the adverse effects of the new vaccines.

A mathematical model is formulated based on ordinary non-linear differential equations that interprets the dynamics of dengue transmission, where the human population is divided into three compartments: susceptible persons, symptomatic persons and people, with the population of Aedes aegypti: carrier mosquitoes and non-carrier mosquitoes; simulations of the dynamic system are carried out with the MATLAB software.