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Title : Slow and fast dynamics model of a Malaria with Sickle-Cell genetic disease with multi-stage infections of the mosquitoes population
Author :

SHANTI DEWI SIAWANTA (1) Dr. Fajar Adi Kusumo, S.Si., M.Si. (2) Dr. Irwan Endrayanto Aluicius, S.Si., M.Sc. (3)
Date : 7 2018
Keyword : Slow and fast dynamics model,malaria,multistage infection Slow and fast dynamics model,malaria,multistage infection
Abstract : Malaria, which is caused by Plasmodium, is a common disease in tropical areas. There are three types of Plasmodium i.e. Plasmodium Vivax, Plasmodium Malariae, and Plasmodium Falciparum. The most dangerous cases of the Malaria are mainly caused by the Plasmodium Falciparum. One of the important characteristics for the Plasmodium infection is due to the immunity of erythrocyte that contains HbS (Haemoglobin Sickle-cell) genes. The individuals who has the HbS gene has better immunity against the disease. In this paper, we consider a model that shows the spread of malaria involving the interaction between the mosquitos population, the human who has HbS genes population and the human with normal gene population. We do some analytical and numerical simulation to study the basic reproduction ratio and the slow-fast dynamics of the phase-portrait. The slow dynamics in our model represents the response of the human population with HbS gene to the Malaria disease while the fast dynamics show the response of the human population with the normal gene to the disease. The slow and fast dynamics phenomena are due to the fact that the population of the individuals who have HbS gene is much smaller than the individuals who has normal genes
Group of Knowledge : Bidang Matematika Lain yang Belum Tercantum
Original Language : English
Level : Internasional
Status :
Published
Document
No Title Document Type Action
1 Siawanta_2018_J__Phys___Conf__Ser__974_012021.pdf
Document Type : Bukti Published
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2 Journal of Physics_ Conference Series - IOPscience.pdf
Document Type : [PAK] Halaman Cover
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3 daftar isi - Journal of Physics_ Conference Series, Volume 974, 2018 - IOPscience.pdf
Document Type : [PAK] Daftar Isi
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4 Siawanta_2018_J__Phys___Conf__Ser__974_012021.pdf
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