Basic reproduction number of a multi-patch SVI model represented as a star graph topology

R. Q. Aini, D. Aldila, K. A. Sugeng

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

2 Citations (Scopus)

Abstract

A mathematical model of Susceptible-Vaccinated-Infected (SVI) disease multi-patch model will be introduced in this article. Interaction between cities which are represented as a star graph involved in the model along with vaccination and medical treatment intervention. Human mobility is assumed to be constant between satellite patch and center patch. Basic reproduction number as the endemic indicator is constructed using a graph-theoretical approach. We find that basic reproduction number of the model is given by the reciprocal of the smallest positive root of a two degree polynomial. This method can be an alternative to determine a form of basic reproduction number for a complex system of ODE model.

Original languageEnglish
Title of host publicationProceedings of the 3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
EditorsRatna Yuniati, Terry Mart, Ivandini T. Anggraningrum, Djoko Triyono, Kiki A. Sugeng
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735417410
DOIs
Publication statusPublished - 22 Oct 2018
Event3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017 - Bali, Indonesia
Duration: 26 Jul 201727 Jul 2017

Publication series

NameAIP Conference Proceedings
Volume2023
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

Conference3rd International Symposium on Current Progress in Mathematics and Sciences 2017, ISCPMS 2017
Country/TerritoryIndonesia
CityBali
Period26/07/1727/07/17

Keywords

  • Susceptible-Vaccinated-Infected
  • basic reproduction number
  • human mobility
  • patch

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