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

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 28 دی 1403

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2025.89033.1482

نویسندگان

Festus Abiodun Oguntolu¹؛ Olumuyiwa James Peter^{* 2، 3}؛ Benjamin Idoko Omede⁴؛ Tawakalt Abosede Ayoola⁵؛ Ghaniyyat Bolanle 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 incorporating 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 reproduction number is less than one. Moreover, numerical simulations are employed to illustrate and validate key analytical findings. These simulation 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 implementing effective treatment strategies in rural areas and regions vulnerable to Lymphatic filariasis are crucial for combatting the transmission and control of this disease

کلیدواژه‌ها

Lymphatic filariasis,Holling type II treatment function؛ Reproduction number؛ Stability؛ Bifurcation