BAREKENG: Jurnal Ilmu Matematika dan Terapan
Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications

BIFURCATION ANALYSIS MATHEMATICAL MODEL FOR THE SPREAD OF EXOGENOUS REINFECTION TUBERCULOSIS

Rara Sandhy Winanda (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padang State University, Indonesia)
Defri Ahmad (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padang State University, Indonesia)
Sovia Helmi Putri (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padang State University, Indonesia)
Ariana Putri (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Padang State University, Indonesia)

Article Info

Publish Date
15 Apr 2023

Abstract

The spread of tuberculosis can occur in two ways, namely exogenous and endogenous. The spread of tuberculosis exogenously or Exogenous Reinfection of tuberculosis can be observed using a mathematical model. Then an analysis of the mathematical model with a bifurcation approach was carried out. Based on the result, it was found that there was a change in stability properties and the type of equilibrium point in the distribution equation system of exogenous reinfection tuberculosis, where the parameter that occurred bifurcation was , with . When value of is smaller than zero, the system of differential equations of exogenous reinfection tuberculosis shows an unstable with a saddle point type, when the value of is equal to zero the system of differential equations cannot be determined its stability, and when system of differential equations shows asymptotic stability, where there is a change in species. The points are nodes, star nodes, and spirals.

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Journal Info
BAREKENG: Jurnal Ilmu Matematika dan Terapan
Website

Abbrev

barekeng

Publisher

Universitas Pattimura

Subject

Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Description

BAREKENG: Jurnal ilmu Matematika dan Terapan is one of the scientific publication media, which publish the article related to the result of research or study in the field of Pure Mathematics and Applied Mathematics. Focus and scope of BAREKENG: Jurnal ilmu Matematika dan Terapan, as follows: - Pure ...