Open AccessAnalysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis
Author(s) -
Bevina D. Handari,
AUTHOR_ID,
Dipo Aldila,
Bunga O. Dewi,
Hanna Rosuliyana,
Sarbaz H.A. Khosnaw,
AUTHOR_ID
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2022084
Subject(s) - basic reproduction number , pontryagin's minimum principle , optimal control , maximum principle , mathematics , population , epidemic model , vaccination , stability (learning theory) , mathematical optimization , computer science , biology , medicine , virology , machine learning , environmental health
We developed a new mathematical model for yellow fever under three types of intervention strategies: vaccination, hospitalization, and fumigation. Additionally, the side effects of the yellow fever vaccine were also considered in our model. To analyze the best intervention strategies, we constructed our model as an optimal control model. The stability of the equilibrium points and basic reproduction number of the model are presented. Our model indicates that when yellow fever becomes endemic or disappears from the population, it depends on the value of the basic reproduction number, whether it larger or smaller than one. Using the Pontryagin maximum principle, we characterized our optimal control problem. From numerical experiments, we show that the optimal levels of each control must be justified, depending on the strategies chosen to optimally control the spread of yellow fever.