Open AccessSensitivity, Optimal Control, and Cost-Effectiveness Analysis of Intervention Strategies of Filariasis
Author(s) -
Darmawati Darmawati,
Aminah Aminah,
Darma Ekawati,
Wahyudin Nur,
Muhlis Muhlis,
Siti Fatima Azzahra
Publication year - 2022
Publication title -
jambura journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2656-1344
pISSN - 2654-5616
DOI - 10.34312/jjom.v4i1.11766
Subject(s) - filariasis , pontryagin's minimum principle , sensitivity (control systems) , reproduction , cost effectiveness , optimal control , mathematics , statistics , ecology , biology , mathematical optimization , engineering , zoology , electronic engineering , helminths
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.