Patches Approach to Investigate the Populational Dynamics in Dengue

Authors

  • Fernando Luiz Pio Santos Institute of Biosciences of Botucatu IBB UNESP

DOI:

https://doi.org/10.5540/tema.2017.018.01.0003

Keywords:

Human dispersal, Discrete model, Pathway approach, ODE system, Euler method, Dynamic Population.

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. 

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Published

2017-05-22

How to Cite

Santos, F. L. P. (2017). Patches Approach to Investigate the Populational Dynamics in Dengue. Trends in Computational and Applied Mathematics, 18(1), 3. https://doi.org/10.5540/tema.2017.018.01.0003

Issue

Vol. 18 No. 1 (2017)

Section

Original Article

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