A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site
Dengue disease has been known as one of widely transmitted vector-borne diseases which potentially affects millions of people throughout the world especially in tropical and sub-tropical countries. One of the main factors contributing in the complication of the transmission process is the mobility o...
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my.utm.590952021-12-13T00:58:53Z http://eprints.utm.my/id/eprint/59095/ A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site Yaacob, Y. Yeak, S. H. Lim, R. S. Soewono, E. QA Mathematics Dengue disease has been known as one of widely transmitted vector-borne diseases which potentially affects millions of people throughout the world especially in tropical and sub-tropical countries. One of the main factors contributing in the complication of the transmission process is the mobility of people in which people may get infection in the places far from their home. Here we construct a delay differential equation model for dengue transmission in a closed population where regular visits of people to a mosquito breeding site out of their residency such as traditional market take place daily. Basic reproductive ratio of the system is obtained and depends on the ratio between the outgoing rates of susceptible human and infective human. It is shown that the increase of mobility with different variation of mobility rates may contribute to different level of basic reproductive ratio as well as different level of outbreaks. 2015 Conference or Workshop Item PeerReviewed Yaacob, Y. and Yeak, S. H. and Lim, R. S. and Soewono, E. (2015) A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site. In: 2nd International Symposium on Biomathematics, SYMOMATH 2014, 31 August 2014 - 2 September 2014, Malang, East Java, Indonesia. http://dx.doi.org/10.1063/1.4914447 |
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QA Mathematics Yaacob, Y. Yeak, S. H. Lim, R. S. Soewono, E. A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
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Dengue disease has been known as one of widely transmitted vector-borne diseases which potentially affects millions of people throughout the world especially in tropical and sub-tropical countries. One of the main factors contributing in the complication of the transmission process is the mobility of people in which people may get infection in the places far from their home. Here we construct a delay differential equation model for dengue transmission in a closed population where regular visits of people to a mosquito breeding site out of their residency such as traditional market take place daily. Basic reproductive ratio of the system is obtained and depends on the ratio between the outgoing rates of susceptible human and infective human. It is shown that the increase of mobility with different variation of mobility rates may contribute to different level of basic reproductive ratio as well as different level of outbreaks. |
format |
Conference or Workshop Item |
author |
Yaacob, Y. Yeak, S. H. Lim, R. S. Soewono, E. |
author_facet |
Yaacob, Y. Yeak, S. H. Lim, R. S. Soewono, E. |
author_sort |
Yaacob, Y. |
title |
A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
title_short |
A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
title_full |
A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
title_fullStr |
A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
title_full_unstemmed |
A delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
title_sort |
delay differential equation model for dengue transmission with regular visits to a mosquito breeding site |
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2015 |
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http://eprints.utm.my/id/eprint/59095/ http://dx.doi.org/10.1063/1.4914447 |
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