Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions

Document Type : Research Article

Authors

• F.A. Oguntolu ¹
• O.J. Peter ^{2, 3}
• B.I. Omede ⁴
• T.A. Ayoola ⁵
• G.B. Balogun ⁶

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

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

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

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

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

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

10.22067/ijnao.2025.89033.1482

Abstract

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.

Keywords

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

Main Subjects

• Modeling and Simulation

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