  Aedes aegypti is a known vector of Dengue, Chikungunya and Zika and the goal
of this study is to propose the first mathematical model to describe the
dynamic transmission of these three diseases. We present two preliminary models
that consist of the SEIR model for the human populations and an SEI model for
the vector to describe (a) the single transmission dynamics of dengue,
Chikungunya or Zika, and (b) any possible coinfection between two diseases in
the same population. In order to do that, we obtain an analytical solution of
the system of 17 and 30 coupled differential equations for each model
respectively, and later obtain the eigenvalues by analyzing the Jacobian matrix
in order to begin the development of a surveillance system to prevent the
spread of these three diseases.
