Analysis of yellow fever prevention strategy from the perspective of mathematical model and cost-effectiveness analysis

Bevina D. Handari, Dipo Aldila, Bunga O. Dewi, Hanna Rosuliyana, Sarbaz H.A. Khosnaw

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)1786-1824
Number of pages39
JournalMathematical Biosciences and Engineering
Volume19
Issue number2
DOIs
Publication statusPublished - 2022

Keywords

  • Cost-effectiveness
  • Hospitalization
  • Optimal control
  • Vaccination
  • Vector control
  • Yellow fever

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