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

مقاله 5، دوره 15، Issue 2 - شماره پیاپی 33، شهریور 2025، صفحه 531-569   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.89033.1482

نویسندگان

F.A. Oguntolu¹؛ O.J. Peter^{* 2، 3}؛ B.I. Omede⁴؛ T.A. Ayoola⁵؛ G.B. Balogun⁶

¹Department of Mathematics, Federal University of Technology, Minna, Niger State, Nigeria.

²Department of Mathematical and Computer Sciences, University of Medical Sciences, Ondo State, Nigeria.

³Department of Epidemiology and Biostatistics, School of Public Health, University of Medical Sciences, Ondo State, Nigeria.

⁴Department of Mathematical Sciences, Prince Abubakar Audu (Formerly Kogi State) University, Anyigba, Nigeria.

⁵Department of Mathematical Sciences, Osun State University Osogbo, Nigeria.

⁶Department of Computer Science, University of Ilorin, Nigeria.

چکیده

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.

کلیدواژه‌ها

Lymphatic filariasis؛ Holling type II treatment function؛ Repro-duction number؛ Stability؛ Bifurcation

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