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Communications in Mathematical Biology and Neuroscience ISSN 2052-2541

Archives › Volume 2023 (2023)

Commun. Math. Biol. Neurosci. 2023 (2023), Article ID 67

Impact of screening, treatment, and misdiagnose on lymphatic filariasis transmission: a mathematical model

Iffatricia Haura Febiriana, Vania Adisaputri, Putri Zahra Kamalia, Dipo Aldila

PDF (1.4 MB) https://doi.org/10.28919/cmbn/7983

Abstract

A novel mathematical model is constructed in this article to understand the impact of active case findings and treatment to suppress the spread of lymphatic filariasis. The model is constructed as a nine-dimensional system of ordinary differential equations which considering the effect of misdiagnosis in the screening process. The analytical study was carried out to analyze the existence and stability of the equilibrium points, the control reproduction number, and the nonexistence of backward bifurcations in the model. Our analytical results show that the condition of free-filariasis will always be established if the control reproduction number is less than one. On the other hand, we always have a unique and stable endemic equilibrium if and only if the control reproduction number is greater than one. Our sensitivity analysis has shown that a combination of active case detection, duration, and successful probability of treatment could effectively reduce the intensity of lymphatic filariasis spread in the population.

Published
3 July 2023
Volume
2023 (2023)
License
CC BY 3.0

Copyright © 2023 Iffatricia Haura Febiriana, Vania Adisaputri, Putri Zahra Kamalia, Dipo Aldila. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

I. H. Febiriana, V. Adisaputri, P. Z. Kamalia, D. Aldila, Impact of screening, treatment, and misdiagnose on lymphatic filariasis transmission: a mathematical model, Commun. Math. Biol. Neurosci. 2023 (2023), 67. https://doi.org/10.28919/cmbn/7983

BibTeX
@article{Febiriana2023,
  author  = {Febiriana, Iffatricia Haura and Adisaputri, Vania and Kamalia, Putri Zahra and Aldila, Dipo},
  title   = {Impact of screening, treatment, and misdiagnose on lymphatic filariasis transmission: a mathematical model},
  journal = {Commun. Math. Biol. Neurosci.},
  volume  = {2023},
  year    = {2023},
  pages   = {67},
  doi     = {10.28919/cmbn/7983}
}