BACKWARD BIFURCATION IN A WITHIN-HOST TUBERCULOSIS MODEL

Adi, Yudi Ari and Thobirin, Aris (2020) BACKWARD BIFURCATION IN A WITHIN-HOST TUBERCULOSIS MODEL. Advances in Mathematics: Scientific Journal, 9 (8). pp. 7269-7282. ISSN 1857-8365 (printed); 1857-8438 (electronic)

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Abstract

A within-host tuberculosis model describing the interaction between
macrophages and Mycobacterium tuberculosis was developed and analyzed in
this paper. We derive R0 as the threshold value of the model and analyze the
existence and stability of equilibrium points. Furthermore, bifurcation analysis
performed based on the use of the application of the center manifold theory.
Explicit condition for the existence of backward bifurcation is given. Finally,
numerical simulations are presented to support the theoretical findings.

Item Type:	Artikel Umum
Subjects:	Q Science > QA Mathematics
Divisi / Prodi:	Faculty of Applied Science and Technology (Fakultas Sains Dan Teknologi Terapan) > S1-Mathematics (S1-Matematika)
Depositing User:	M.Si. Aris Thobirin
Date Deposited:	25 Nov 2022 01:24
Last Modified:	25 Nov 2022 01:36
URI:	http://eprints.uad.ac.id/id/eprint/37611

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