Exploring the dynamics of lymphatic filariasis through a mathematical model and analysis with Holling type II treatment functions
نویسندگان
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 Mathematical Sciences, Osun State University Osogbo, Nigeria.
4 Department of Epidemiology and Biostatistics, School of Public Health, University of Medical Sciences, Ondo State, Nigeria.
5 Department of Mathematical Sciences, Prince Abubakar Audu (Formerly Kogi State) University, Anyigba, Nigeria.
doi
10.22067/ijnao.2025.89033.1482چکیده
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.
