Objective

To propose a vector-host mathematical model for adjusting the force of infection with dengue in a variable population with logistic growth and a mosquito life cycle with periodic oviposition rate, considering immunity to a serotype.

Methods

The proposed mathematical model is represented by eight differential equations that calculate the force of infection through the scale-free network method.

Results

A simulation of the mathematical model solved by an algorithm implemented in MATLAB based on data obtained from the literature was obtained. The growth of the force of dengue infection over time can be observed in the simulation, and it varies as some parameters change.

Conclusions

The force of infection increases over time, that is, the rate of new cases increases, which proves the need for prevention among inhabitants of high-risk areas through the use of metallic fabrics, mosquito nets, repellents, appropriate clothing, among other measures. Chemical control against the vector, such as larvicides and adulticides, as well as the elimination of breeding places to interrupt their life cycle are strongly advised.