Stability Analysis of the Dynamics of Tuberculosis Model incorporating, Public Campaign, case Detection, Vaccine, Quarantine and Sanitarium as Control Strategies

Usman, Rabiu; James Andest, Njida; A. Kwanamu, Joshua; Inuwa Dalatu, Paul

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Research Article

Stability Analysis of the Dynamics of Tuberculosis Model Incorporating, Public Campaign, Case Detection, Vaccine, Quarantine and Sanitarium as Control Strategies

Njida James Andest, Joshua A. Kwanamu, Paul Inuwa Dalatu

Njida James Andest — Department of Mathematics, Adamawa State University, Mubi, Adamawa State-Nigeria ^*
Joshua A. Kwanamu — Department of Mathematics, Adamawa State University, Mubi, Adamawa State-Nigeria
Paul Inuwa Dalatu — Department of Mathematics, Adamawa State University, Mubi, Adamawa State-Nigeria

Volume: 10, Issue 1 Year: 2022 Pages: 32-47 Published: January 1, 2022

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Abstract

In this paper, a tuberculosis (TB) model is formulated with the aim of determining the effects of public Campaign, Case detection, Vaccine, Quarantine and sanitarium on the spread and control of TB disease. The stability analysis shows and suggest that the control strategies are locally asymptotically stable. The analysis shows that R0 < 1 that means Rcvq < 1, Rvc < 1, implies Rcvq < Rvc < Rv < 1. Therefore, combination of case detection, vaccine, quarantine and sanitarium can reduce the endemicity of the infection rather than using a single strategy.

Keywords

Tuberculosis transmission basic reproduction number management quarantine

How to Cite

Andest, N.J., & Kwanamu, J.A., & Dalatu, P.I. (2022). Stability Analysis of the Dynamics of Tuberculosis Model Incorporating, Public Campaign, Case Detection, Vaccine, Quarantine and Sanitarium as Control Strategies. Adamawa State University Journal of Scientific Research , 10(1) , 32-47.

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January 1, 2022

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