A SEIRS Model of Tuberculosis Infection Model with Vital Dynamics, Early Treatment for Latent Patients and Treatment of Infective | Zendy

Fatima Sulayman | Zendy; Amit Mishra | Zendy

Open Access

A SEIRS Model of Tuberculosis Infection Model with Vital Dynamics, Early Treatment for Latent Patients and Treatment of Infective

Author(s) -

Fatima Sulayman,

Amit Mishra

Publication year - 2020

Publication title -

international journal of mathematical sciences and computing

Language(s) - English

Resource type - Journals

eISSN - 2310-9033

pISSN - 2310-9025

DOI - 10.5815/ijmsc.2020.03.05

Subject(s) - tuberculosis , basic reproduction number , human immunodeficiency virus (hiv) , transmission (telecommunications) , disease , medicine , virology , computer science , population , environmental health , pathology , telecommunications

Tuberculosis is one of the most destructive bacteria in human being and the second cause of mortality after HIV/AIDS in the whole world. In this research work, a SEIRS of mathematical model for the transmission of tuberculosis incorporating vital dynamics, early therapy of patient with tuberculosis were studied and a model for treatment of infective as controls was developed. The effective reproduction number and the disease-free equilibrium was also analysed for the stability. The results revealed that the two controls reduce effective number below unity. Furthermore, it shows that early therapy of patient with tuberculosis is more effective in mitigating the spread of tuberculosis burden.

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