Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis
Malaria is a disease caused by the parasite Plasmodium, transmitted by the bite of an infected female Anopheles. In general, five species of Plasmodium that can cause malaria. Of the five species, Plasmodium falciparum and Plasmodium vivax are two species of Plasmodium that can allow malaria superin...
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| Format: | Article |
| Language: | English |
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Indonesian Bio-Mathematical Society
2023-07-01
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| Series: | Communication in Biomathematical Sciences |
| Subjects: | |
| Online Access: | https://journals.itb.ac.id/index.php/cbms/article/view/20864 |
| _version_ | 1797244965739298816 |
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| author | Bevina D. Handari Dipo Aldila Evllyn Tamalia Sarbaz H. A. Khoshnaw Muhammad Shahzad |
| author_facet | Bevina D. Handari Dipo Aldila Evllyn Tamalia Sarbaz H. A. Khoshnaw Muhammad Shahzad |
| author_sort | Bevina D. Handari |
| collection | DOAJ |
| description | Malaria is a disease caused by the parasite Plasmodium, transmitted by the bite of an infected female Anopheles. In general, five species of Plasmodium that can cause malaria. Of the five species, Plasmodium falciparum and Plasmodium vivax are two species of Plasmodium that can allow malaria superinfection in the human body. Typically, the popular intervention for malaria eradication is the use of fumigation to control the vector population and provide good medical services for malaria patients. Here in this article, we formulate a mathematical model based on a host-vector interaction. Our model considering two types of plasmodium in the infection process and the use of medical treatment and fumigation for the eradication program. Our analytical result succeeds in proving the existence of all equilibrium points and how their existence and local stability criteria depend not only on the control reproduction number but also in the invasive reproduction number. This invasive reproduction number represent how one plasmodium can dominate other plasmodium. Our sensitivity analysis shows that fumigation is the most influential parameter in determining all control reproduction numbers. Furthermore, we find that the order in which numerous intervention measures are taken will be very crucial to determine the level of success of our malaria eradication program. |
| first_indexed | 2024-04-24T19:19:24Z |
| format | Article |
| id | doaj.art-23843e2b28c2404387634fed1900c07a |
| institution | Directory Open Access Journal |
| issn | 2549-2896 |
| language | English |
| last_indexed | 2024-04-24T19:19:24Z |
| publishDate | 2023-07-01 |
| publisher | Indonesian Bio-Mathematical Society |
| record_format | Article |
| series | Communication in Biomathematical Sciences |
| spelling | doaj.art-23843e2b28c2404387634fed1900c07a2024-03-26T01:29:13ZengIndonesian Bio-Mathematical SocietyCommunication in Biomathematical Sciences2549-28962023-07-0161517310.5614/cbms.2023.6.1.521462Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity AnalysisBevina D. Handari0Dipo Aldila1Evllyn Tamalia2Sarbaz H. A. Khoshnaw3Muhammad Shahzad4Department of Mathematics, Universitas Indonesia, Depok 16424, IndonesiaDepartment of Mathematics, Universitas Indonesia, Depok 16424, IndonesiaDepartment of Mathematics, Universitas Indonesia, Depok 16424, IndonesiaDepartment of Mathematics, University of Raparin, Ranya 46012, Kurdistan Region of IraqDepartment of Mathematics & Statistics, The University of Haripur, KP, Haripur, 22620, PakistanMalaria is a disease caused by the parasite Plasmodium, transmitted by the bite of an infected female Anopheles. In general, five species of Plasmodium that can cause malaria. Of the five species, Plasmodium falciparum and Plasmodium vivax are two species of Plasmodium that can allow malaria superinfection in the human body. Typically, the popular intervention for malaria eradication is the use of fumigation to control the vector population and provide good medical services for malaria patients. Here in this article, we formulate a mathematical model based on a host-vector interaction. Our model considering two types of plasmodium in the infection process and the use of medical treatment and fumigation for the eradication program. Our analytical result succeeds in proving the existence of all equilibrium points and how their existence and local stability criteria depend not only on the control reproduction number but also in the invasive reproduction number. This invasive reproduction number represent how one plasmodium can dominate other plasmodium. Our sensitivity analysis shows that fumigation is the most influential parameter in determining all control reproduction numbers. Furthermore, we find that the order in which numerous intervention measures are taken will be very crucial to determine the level of success of our malaria eradication program.https://journals.itb.ac.id/index.php/cbms/article/view/20864malariasuperinfectionhost-vectorbasic and invasive reproduction numbersensitivity analysis |
| spellingShingle | Bevina D. Handari Dipo Aldila Evllyn Tamalia Sarbaz H. A. Khoshnaw Muhammad Shahzad Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis Communication in Biomathematical Sciences malaria superinfection host-vector basic and invasive reproduction number sensitivity analysis |
| title | Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis |
| title_full | Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis |
| title_fullStr | Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis |
| title_full_unstemmed | Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis |
| title_short | Assessing The Impact of Medical Treatment and Fumigation on The Superinfection of Malaria: A Study of Sensitivity Analysis |
| title_sort | assessing the impact of medical treatment and fumigation on the superinfection of malaria a study of sensitivity analysis |
| topic | malaria superinfection host-vector basic and invasive reproduction number sensitivity analysis |
| url | https://journals.itb.ac.id/index.php/cbms/article/view/20864 |
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