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Computational and Mathematical Methods in Medicine
Volume 2017, Article ID 1747134, 9 pages
https://doi.org/10.1155/2017/1747134
Research Article

Modeling Impact of Temperature and Human Movement on the Persistence of Dengue Disease

Department of Natural Sciences (Mathematics), School of Science, Kathmandu University, Dhulikhel, Kavre, Nepal

Correspondence should be addressed to Ganga Ram Phaijoo; pn.ude.uk@maragnag

Received 15 April 2017; Revised 5 June 2017; Accepted 8 August 2017; Published 19 September 2017

Academic Editor: Gul Zaman

Copyright © 2017 Ganga Ram Phaijoo and Dil Bahadur Gurung. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Dengue is a vector-borne infectious disease endemic in many parts of the world. The disease is spreading in new places due to human movement into the dengue disease supporting areas. Temperature is the major climatic factor which affects the biological processes of the mosquitoes and their interaction with the viruses. In the present work, we propose a multipatch model to assess the impact of temperature and human movement in the transmission dynamics of dengue disease. The work consists of system of ordinary differential equations that describe the transmission dynamics of dengue disease between humans and mosquitoes. Human population is divided into four classes: susceptible, exposed, infectious, and recovered. Mosquito population is divided into three classes: susceptible, exposed, and infectious. Basic reproduction number of the model is obtained using Next-Generation Matrix method. The qualitative analysis of the model is made in terms of the basic reproduction number. Parameters used in the model are considered temperature dependent. Dynamics of vector and host populations are investigated with different human movement rates and different temperature levels. Numerical results show that proper management of human movement between patches helps reducing the burden of dengue disease. It is also seen that the temperature affects the transmission dynamics of the disease significantly.