Construction of a stochastic SVIS model for prevention of influenza spread with vaccines

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

Abstract

A lot of researches related to influenza vaccination have been done in epidemiology. However, additional researches in mathematics are also needed to understand the potential biases in estimating the benefits of vaccination, since mathematical analysis and modelling is central to infectious disease epidemiology. Here, we construct a system of stochastic differential equations model for preventing the spread of influenza with vaccines. Three subpopulations are considered as compartments of the model, they are susceptible, vaccinated, and infected individuals. The model assumes there are demographic variabilities in the number of births, deaths and transitions rates for each compartment. The model is constructed based on the continuous time Markov chain model by studying changes in the components over small time interval. We perform some numerical simulations to give an interpretation and understanding about the model. For a better simulation result, we estimate values of the epidemiological parameters of the model based on weekly influenza surveillance and influenza vaccine distribution report in the United States.

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
CountryIndonesia
CityBali
Period26/07/1727/07/17

Keywords

  • SVIS model
  • influenza
  • vaccines

Fingerprint Dive into the research topics of 'Construction of a stochastic SVIS model for prevention of influenza spread with vaccines'. Together they form a unique fingerprint.

Cite this