Modelling the effect of hospitalization in tuberculosis spread

G. M. Simorangkir, D. Aldila, H. Tasman

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

6 Citations (Scopus)


A tuberculosis model involving hospitalization was discussed in this paper along with a fast and slow infection phenomenon. Medical treatment in the hospital was assumed to perfectly protect infected individuals in infecting susceptible individuals. Basic analysis regarding the existence and local stability of the equilibrium state was conducted and showed how it is related to the basic reproduction number. We found that whenever the endemic equilibrium exists, then it will be stable and the disease-free equilibrium will be unstable. Numerical simulations were given to support our theoretical results and to give a better interpretation.

Original languageEnglish
Title of host publicationSymposium on Biomathematics 2019, SYMOMATH 2019
EditorsMochamad Apri, Vitalii Akimenko
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735420243
Publication statusPublished - 22 Sept 2020
EventSymposium on Biomathematics 2019, SYMOMATH 2019 - Bali, Indonesia
Duration: 25 Aug 201928 Aug 2019

Publication series

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


ConferenceSymposium on Biomathematics 2019, SYMOMATH 2019


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