A general discrete patches approach to investigate the populational dynamics of mosquitoes and humans in dengue

Abstract

In areas where resources are located in patches or discrete locations, human dispersal is more conveniently modeled, in which the population is divided into discrete patches. In this work we develop a general discrete model to analyze the spread of Dengue disease. In the process of mathematical modeling we take into account the human populations and the circulation of a single serotype of dengue mosquitoes. The movements of susceptible, infected and recovered humans between all patches is considered. Aquatic phase with differents carrying capacities is considered within the patches. In this formulation an arbitrary number of patches can be used to simulation of the spread of dengue disease. Numerical results was performed in order to show the applicability of this methodology for the dengue disease problem.