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 among all patches are considered. Aquatic phases with different carrying capacities are considered within the patches. Also an arbitrary number of patches can be used to simulate the spread of dengue disease. In this paper we performed numerical experiments to show the applicability of this methodology to investigate the dengue disease problem. The general discrete space model was developed for solving epidemiological problems whereas the human-vector interactions and human mobilities play an important role. Based on our numerical results, we may recommend the general patches model for solving epidemiological problems in Population Dynamics.
Highlights
Dengue is a febrile infectious disease caused by a virus of the family Flaviridae
The model involves the dynamic interactions between humans and mosquitoes and takes into account human mobility as an important factor of disease spread
We describe discrete patches methodology to analize the dynamic of the dengue disease where the movements of human populations has an important role
Summary
Dengue is a febrile infectious disease caused by a virus of the family Flaviridae. It is transmitted to humans by the bite of female mosquitoes, usually of the genus Aedes aegypti. The mosquitoes lives in urban habitats and in man-made containers as a breeding sites in tropical and sub-tropical areas of the world. Due to no improvements in hygiene, sanitation and vector control, containment of dengue disease remains one of the biggest challenges and has been a major public health problem of the modern world, especially in tropical countries such as Brazil, where its incidence has increased in recent years. Dengue vaccine has been licensed for use to people living in endemic areas, but Aedes aegypti transmits yellow fever, Chikungunya and Zika
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