Global analysis of a dengue hemorrhagic fever transmission model with logistics growth in human population

Anita T. Kurniawati, Fatmawati, Windarto

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

2 Citations (Scopus)

Abstract

Dengue Hemorrhagic Fever (DHF) is a contagious disease and can cause death. Almost half of the world's population is at risk of DHF. In this paper, the SIR (susceptible-infectious-recovered) DHF transmission model is analyzed with human populations following the logistical growth model. Global analysis is carried out at a disease-free equilibrium and endemic equilibrium by constructing Lyapunov functions. The results of the analysis showed globally asymptotically stable at the two equilibriums.

Original languageEnglish
Title of host publicationInternational Conference on Mathematics, Computational Sciences and Statistics 2020
EditorsCicik Alfiniyah, Fatmawati, Windarto
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735440739
DOIs
Publication statusPublished - 26 Feb 2021
EventInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020 - Surabaya, Indonesia
Duration: 29 Sept 2020 → …

Publication series

NameAIP Conference Proceedings
Volume2329
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Conference

ConferenceInternational Conference on Mathematics, Computational Sciences and Statistics 2020, ICoMCoS 2020
Country/TerritoryIndonesia
CitySurabaya
Period29/09/20 → …

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