Mathematical assessment on the effect of hospitalization in dengue intervention

J. Nawawi, D. Aldila

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Citations (Scopus)

Abstract

This paper discussed SIR-UV model of dengue spread considering the effect of hospitalization which involves human and mosquito compartments, and then this model will be simplified by using Quasi-Steady State Approximation (QSSA). In this model, there will be two types of equilibrium points, and they are Diseases-Free Equilibrium and Endemic Equilibrium. Basic reproduction number will also obtain from this model, which is the threshold whether the diseases is said to be endemic or not in the population. In addition, sensitivity analysis of the basic reproduction number will also be obtained, as well as simulation of the model for each case that describes the behavior and stability around the equilibrium point. Our numerical results on the sensitivity of the basic reproduction number and the autonomous simulation indicate the success of hospitalization to prevent dengue should consider the level of hygiene of the hospital. The more hygienic the hospital, the higher the possibility that hospitalization success to prevent dengue spread.

Original languageEnglish
Title of host publicationProceedings of the 5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019
EditorsTerry Mart, Djoko Triyono, Tribidasari Anggraningrum Ivandini
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735420014
DOIs
Publication statusPublished - 1 Jun 2020
Event5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019 - Depok, Indonesia
Duration: 9 Jul 201910 Jul 2019

Publication series

NameAIP Conference Proceedings
Volume2242
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference5th International Symposium on Current Progress in Mathematics and Sciences, ISCPMS 2019
Country/TerritoryIndonesia
CityDepok
Period9/07/1910/07/19

Keywords

  • basic reproduction number
  • Dengue
  • equilibrium
  • quasi-steady state approximation

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