Mathematical transmission analysis of SEIR tuberculosis disease model

• Published in: Sensors international Vol. 2; p. 100120
• Main Authors: Das, Kalyan, Murthy, B.S.N., Samad, Sk. Abdus, Biswas, Md. Haider Ali
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 2021; KeAi Communications Co., Ltd
• Subjects: Basic reproduction number; Bifurcation; SEIR Model; Stability; Tuberculosis; Bifurcation; Basic reproduction number; Tuberculosis; Stability; SEIR Model
• ISSN: 2666-3511; 2666-3511
• DOI: 10.1016/j.sintl.2021.100120

Tuberculosis is one of the burning issues of the modern era that causes serious health hazard in human body in last few decades. In this article, we proposed and analyzed the SEIR pandemic TB transmission model with time subordinate boundaries. We considered a compartmental TB mathematical model where the total population is ordered into four compartments as indicated by their natural highlights. We explored the effect of different phases of the compartments by analyzing the infection at free stability point along with basic reproduction, strength of the system and at endemic stability point. It is indicated that the TB model is locally as well as globally asymptotically stable at infection free stability point when the basic reproduction number is not as much as unity and novel endemic harmony when the basic reproduction number is more prominent than unanimity. A bifurcation investigation is performed by applying the bifurcation technique tools of the centre manifold theory. Mathematical conditions guarantee the event of forward bifurcation which has been inferred.
•Proposed TB transmission model with time subordinate boundaries and estimated the model parameters by fitting the model with reported.•Discussed the sensitivity analysis of the proposed model with respect to the parameters transmission rate and recovery rate.•Having set up the verbalization for the basic reproduction number.•We express a bit of the constraints of the system as a measure of control parameters of the considering dynamical system.•Numerical simulations have been performed to support the analytical results.