Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions
This paper presents a robust deterministic mathematical model incorporat-ing Holling type II treatment functions to comprehensively investigate the dynamics of Lymphatic filariasis. Through qualitative analysis, the model demonstrates the occurrence of backward bifurcation when the basic re-producti...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Ferdowsi University of Mashhad
2025-06-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_46254_0260900a4590ec2c8299520ebcf70094.pdf |
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| author | F.A. Oguntolu O.J. Peter B.I. Omede T.A. Ayoola G.B. Balogun |
| author_facet | F.A. Oguntolu O.J. Peter B.I. Omede T.A. Ayoola G.B. Balogun |
| author_sort | F.A. Oguntolu |
| collection | DOAJ |
| description | This paper presents a robust deterministic mathematical model incorporat-ing Holling type II treatment functions to comprehensively investigate the dynamics of Lymphatic filariasis. Through qualitative analysis, the model demonstrates the occurrence of backward bifurcation when the basic re-production number is less than one. Moreover, numerical simulations are employed to illustrate and validate key analytical findings. These simula-tion results emphasize the significance of accessible medical resources and the efficacy of prophylactic drugs in eradicating Lymphatic filariasis. The findings show that, enhancing medical resource availability and implement-ing effective treatment strategies in rural areas and regions vulnerable to Lymphatic filariasis is crucial for combating the transmission and control of this disease. |
| format | Article |
| id | doaj-art-a7cb0d352b2c4e2580f4ead2b91c23aa |
| institution | OA Journals |
| issn | 2423-6977 2423-6969 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Ferdowsi University of Mashhad |
| record_format | Article |
| series | Iranian Journal of Numerical Analysis and Optimization |
| spelling | doaj-art-a7cb0d352b2c4e2580f4ead2b91c23aa2025-08-20T01:47:32ZengFerdowsi University of MashhadIranian Journal of Numerical Analysis and Optimization2423-69772423-69692025-06-0115Issue 253156910.22067/ijnao.2025.89033.148246254Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functionsF.A. Oguntolu0O.J. Peter1B.I. Omede2T.A. Ayoola3G.B. Balogun4Department of Mathematics, Federal University of Technology, Minna, Niger State, Nigeria.Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo State, Nigeria.Department of Mathematical Sciences, Prince Abubakar Audu (Formerly Kogi State) University, Anyigba, Nigeria.Department of Mathematical Sciences, Osun State University Osogbo, Nigeria.Department of Computer Science, University of Ilorin, Nigeria.This paper presents a robust deterministic mathematical model incorporat-ing Holling type II treatment functions to comprehensively investigate the dynamics of Lymphatic filariasis. Through qualitative analysis, the model demonstrates the occurrence of backward bifurcation when the basic re-production number is less than one. Moreover, numerical simulations are employed to illustrate and validate key analytical findings. These simula-tion results emphasize the significance of accessible medical resources and the efficacy of prophylactic drugs in eradicating Lymphatic filariasis. The findings show that, enhancing medical resource availability and implement-ing effective treatment strategies in rural areas and regions vulnerable to Lymphatic filariasis is crucial for combating the transmission and control of this disease.https://ijnao.um.ac.ir/article_46254_0260900a4590ec2c8299520ebcf70094.pdflymphatic filariasisholling type ii treatment functionrepro-duction numberstabilitybifurcation |
| spellingShingle | F.A. Oguntolu O.J. Peter B.I. Omede T.A. Ayoola G.B. Balogun Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions Iranian Journal of Numerical Analysis and Optimization lymphatic filariasis holling type ii treatment function repro-duction number stability bifurcation |
| title | Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions |
| title_full | Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions |
| title_fullStr | Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions |
| title_full_unstemmed | Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions |
| title_short | Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions |
| title_sort | exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with holling type ii treatment functions |
| topic | lymphatic filariasis holling type ii treatment function repro-duction number stability bifurcation |
| url | https://ijnao.um.ac.ir/article_46254_0260900a4590ec2c8299520ebcf70094.pdf |
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