Backward bifurcation analysis on Tuberculosis disease transmission with saturated treatment

Dipo Aldila, Besya Raisna Saslia, Wed Gayarti, Hengki Tasman

Research output: Contribution to journalConference articlepeer-review

Abstract

In this research article, the authors intend to introduced an SEI (Susceptible-Exposed-Infectious) Tuberculosis model to consider the limitation of medical resources using a saturated treatment function. This is important to analyze the effect of hospital capacity in the success of Tuberculosis prevention strategy. Mathematical analysis was conducted to determine and analyze the existence and local stability criteria for equilibrium points, and how they related to the basic reproduction number of the model. The stability criteria of the endemic equilibrium point were analyzed using the center manifold theory. Our analysis showed that the saturated treatment rate might lead our proposed model to exhibit backward bifurcation at a basic reproduction number equal to one, and this phenomena appears related to the size of the treatment saturated parameter. Local sensitivity analysis was given to give a suggestion about how to avoid the occurrence of backward bifurcation phenomena. To support our analytical results, some simulations were presented at the end of the work.

Original languageEnglish
Article number012002
JournalJournal of Physics: Conference Series
Volume1821
Issue number1
DOIs
Publication statusPublished - 29 Mar 2021
Event6th International Conference on Mathematics: Pure, Applied and Computation, ICOMPAC 2020 - Surabaya, Virtual, Indonesia
Duration: 24 Oct 2020 → …

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