Mathematical model of tuberculosis spread within two groups of infected population

Abstract

In this paper, we study an SVEIR disease model of tuberculosis transmission dynamics in which the infected population is divided into two groups, namely infectious infected and noninfectious infected population. The equilibrium points and the basic reproduction number R 0 are determined. The stability analysis of the model was conducted by considering the basic reproduction number R 0. We show that if R 0 < 1, then the disease-free equilibrium is locally asymptotically stable. If R 0 > 1, then a unique endemic equilibrium is locally asymptotically stable.

Stability Analysis of Mathematical Model of Spread of Covid19 SEIRS Type with Constant Birth Rate

“…Some of the mathematical modeling that has been developed include Renewable Natural Resources Modeling in Economic Lease Models [4]. Modeling the Spread of Covid19 Infection in Kalimantan [5], An SIR epidemic model for Covid19 spread with fuzzy parameter: the case of Indonesia [6]. Several other studies related to mathematical modeling were conducted by [7]- [8].…”

“…where is an ordered faceted matrix and the non-zero vector and is called the eigenvector of . Suppose a scalar that is the eigen value of , so that it applies: (4) or (5) so that its characteristics equation: (6) Vector is called the eigen-vector corresponding to the eigenvalue .…”