Time-spatial model on the dynamics of the proliferation of Aedes aegypti

• A cellular automaton is a discrete dynamic system with local interactions, in which the behavior may vary from stable to chaotic.
• Understanding the behavior of an epidemic may well benefit a society, since different proliferation scenarios may be produced and a prevention policy set.
• With the proposed method of the time-spatial spread of the Dengue mosquito with a cellular automaton, it will be possible to create different dissemination scenarios and preventive policies for these in several regions.

Some complex physical systems, such as cellular regulation, ecosystems, and societies, can be represented by local interactions between agents. Then, complex behaviors may emerge. A cellular automaton is a discrete dynamic system with these features. Among the several complex systems, epidemic diseases are given special attention by researchers with respect to their dynamics. Understanding the behavior of an epidemic may well benefit a society. For instance, different proliferation scenarios may be produced and a prevention policy set. This paper presents a new simulation method of the time-spatial spread of the Dengue mosquito with a cellular automaton. Thus, it will be possible to create different dissemination scenarios and preventive policies for these in several regions. Simulations were performed with different initial conditions and parameters as a result of which the behavior of the proposed method was characterized.