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: | , , |
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Format: | Conference or Workshop Item |
Language: | English |
Published: |
2009
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Subjects: | |
Online Access: | http://ir.unimas.my/id/eprint/8488/1/Deterministic%20Malaria%20Transmission%20Model%20with%20Acquired%20Immunity%20%28abstract%29.pdf http://ir.unimas.my/id/eprint/8488/ http://www.researchgate.net/publication/44260448_Deterministic_Malaria_Transmission_Model_with_Acquired_Immunity |
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Summary: | 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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