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Volume 5, Issue 4, August 2016, Page: 169-176
Modeling the Effect of Human Mobility on Dengue Transmission
Bentara Wadu Mesthrige Nadi Madushani De Silva, Department of Mathematics, University of Colombo, Colombo, Sri Lanka
Shyam Sanjeewa Nishantha Perera, Department of Mathematics, University of Colombo, Colombo, Sri Lanka
Naleen Chaminda Ganegoda, Department of Mathematics, University of Sri Jayewardenepura, Nugegoda, Sri Lanka
Received: Jun. 14, 2016;       Accepted: Jul. 18, 2016;       Published: Aug. 3, 2016
DOI: 10.11648/j.acm.20160504.11      View  3574      Downloads  208
Abstract
Dengue is one of the most prevalent viruses transmitted by mosquitoes where increasing incidence and severity claim severe social burden. This virus is common throughout the tropics and subtropics. Dengue is a virus which propagated during the day and thus the mobility of humans can cause it to spread quickly. In this paper, we introduce mobility of humans between two neighboring areas into a mathematical model for the transmission of dengue. Dengue transmission is modeled using the classical SIR model. Simulations have been carried under four cases to compare the impact of human mobility to propagate the dengue disease. These cases are based on existence of dengue and human mobility direction regarding neighboring area. Numerical simulations are carried out using Matlab routine ode 45.
Keywords
Dengue Disease, Mathematical Model, Human Mobility
To cite this article
Bentara Wadu Mesthrige Nadi Madushani De Silva, Shyam Sanjeewa Nishantha Perera, Naleen Chaminda Ganegoda, Modeling the Effect of Human Mobility on Dengue Transmission, Applied and Computational Mathematics. Vol. 5, No. 4, 2016, pp. 169-176. doi: 10.11648/j.acm.20160504.11
Copyright
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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