Jambura Journal of Mathematics
Vol 4, No 1: January 2022

Sensitivity, Optimal Control, and Cost-Effectiveness Analysis of Intervention Strategies of Filariasis

Darmawati Darmawati (Department of Mathematics, Universitas Sulawesi Barat, Majene)
Musafira Musafira (Department of Mathematics, Universitas Sulawesi Barat, Majene)
Darma Ekawati (Department of Mathematics, Universitas Sulawesi Barat, Majene)
Wahyudin Nur (Department of Mathematics, Universitas Sulawesi Barat, Majene)
Muhlis Muhlis (Department of Mathematics, Universitas Sulawesi Barat, Majene)
Siti Fatima Azzahra (Department of Nursing, Universitas Sulawesi Barat, Majene)



Article Info

Publish Date
01 Jan 2022

Abstract

In this work, sensitivity, optimal control, and cost-effectiveness of several intervention strategies of filariasis are discussed. We study the intervention strategies that are related to bednet use, insecticide, and the combination of bed-net use and insecticide. We use Pontryagin’s maximum principle to characterize the optimal controls. The Average Cost-Effectiveness Ratio (ACER) and Infection Averted Ratio (IAR) are used to identify the most cost-effective strategy. We also determine the basic reproduction number and investigate the sensitivity of the basic reproduction number on the parameters that are related to bed-net use and insecticide. Based on the ACER values, the most cost-effective strategy to control filariasis is insecticide intervention. On the other hand, the IAR values indicates that bed-net use intervention is the most cost-effective strategy. Furthermore, it is also the most effective strategy to eliminate filariasis. The sensitivity analysis results show that the control parameter related to bed net use and treatment have a central role in reducing the basic reproduction number and filariasis spread.

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Journal Info

Abbrev

jjom

Publisher

Subject

Mathematics

Description

Jambura Journal of Mathematics (JJoM) is a peer-reviewed journal published by Department of Mathematics, State University of Gorontalo. This journal is available in print and online and highly respects the publication ethic and avoids any type of plagiarism. JJoM is intended as a communication forum ...