Deterministic Malaria Transmission Model with Acquired Immunity

This paper focuses on the development of a deterministic Malaria transmission model by considering the recovered population with and without immunity. A transmission model is found to be useful in providing a better understanding on the disease and the impact towards the human population. In th...

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Main Authors: Jane, Labadin, C. Kon, M. L., S. F. S., Juan
Format: Proceeding
Language:English
Published: 2009
Subjects:
Online Access:http://ir.unimas.my/id/eprint/8488/
http://ir.unimas.my/id/eprint/8488/1/Deterministic%20Malaria%20Transmission%20Model%20with%20Acquired%20Immunity%20%28abstract%29.pdf
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author Jane, Labadin
C. Kon, M. L.
S. F. S., Juan
author_facet Jane, Labadin
C. Kon, M. L.
S. F. S., Juan
author_sort Jane, Labadin
building UNIMAS Institutional Repository
collection Online Access
description This paper focuses on the development of a deterministic Malaria transmission model by considering the recovered population with and without immunity. A transmission model is found to be useful in providing a better understanding on the disease and the impact towards the human population. In this research, two possibilities were taken into account where one possibility is that infectious humans do not gain immunity while another possibility is that infectious humans will gain temporary immunity. The mathematical model is developed based on the SEIR model which has susceptible SH, exposed EH, infectious IH and recovered RH classes. The system of equations which were obtained were solved numerically and results were simulated and analyzed. The analysis includes the impact of the different values of the average duration to build effective immunity on the infectious humans. We observed that when the value of q, per capita rate of building effective immunity is increased, the maximum number of infected humans decreased. Hence, if an effective immunity can be build in a short period of time for those who recover from the disease, the number of cases could be reduced.
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institution Universiti Malaysia Sarawak
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language English
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publishDate 2009
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spelling unimas-84882015-08-05T03:58:43Z http://ir.unimas.my/id/eprint/8488/ Deterministic Malaria Transmission Model with Acquired Immunity Jane, Labadin C. Kon, M. L. S. F. S., Juan TP Chemical technology This paper focuses on the development of a deterministic Malaria transmission model by considering the recovered population with and without immunity. A transmission model is found to be useful in providing a better understanding on the disease and the impact towards the human population. In this research, two possibilities were taken into account where one possibility is that infectious humans do not gain immunity while another possibility is that infectious humans will gain temporary immunity. The mathematical model is developed based on the SEIR model which has susceptible SH, exposed EH, infectious IH and recovered RH classes. The system of equations which were obtained were solved numerically and results were simulated and analyzed. The analysis includes the impact of the different values of the average duration to build effective immunity on the infectious humans. We observed that when the value of q, per capita rate of building effective immunity is increased, the maximum number of infected humans decreased. Hence, if an effective immunity can be build in a short period of time for those who recover from the disease, the number of cases could be reduced. 2009 Proceeding NonPeerReviewed text en http://ir.unimas.my/id/eprint/8488/1/Deterministic%20Malaria%20Transmission%20Model%20with%20Acquired%20Immunity%20%28abstract%29.pdf Jane, Labadin and C. Kon, M. L. and S. F. S., Juan (2009) Deterministic Malaria Transmission Model with Acquired Immunity. In: Proceedings of the World Congress on Engineering and Computer Science 2009, October 20-22, 2009, San Francisco, USA. http://www.researchgate.net/publication/44260448_Deterministic_Malaria_Transmission_Model_with_Acquired_Immunity
spellingShingle TP Chemical technology
Jane, Labadin
C. Kon, M. L.
S. F. S., Juan
Deterministic Malaria Transmission Model with Acquired Immunity
title Deterministic Malaria Transmission Model with Acquired Immunity
title_full Deterministic Malaria Transmission Model with Acquired Immunity
title_fullStr Deterministic Malaria Transmission Model with Acquired Immunity
title_full_unstemmed Deterministic Malaria Transmission Model with Acquired Immunity
title_short Deterministic Malaria Transmission Model with Acquired Immunity
title_sort deterministic malaria transmission model with acquired immunity
topic TP Chemical technology
url http://ir.unimas.my/id/eprint/8488/
http://ir.unimas.my/id/eprint/8488/
http://ir.unimas.my/id/eprint/8488/1/Deterministic%20Malaria%20Transmission%20Model%20with%20Acquired%20Immunity%20%28abstract%29.pdf