Modeling and stability analysis of SEIRS model for understanding the tuberculosis disease dynamics

We study an SEIRS epidemiological model for the infectious disease Tuberculosis using differential equations. The entry of an infectious individual into a susceptible population leads to the spread of infection. There are chances of getting infected even after recovery, which has been taken into con...

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Bibliographic Details
Main Authors: Jain, Kshama, Bhattacharjee, Anuradha
Format: Conference Proceeding
Language:English
Subjects:
Differential equations
Dynamic stability
Infectious diseases
Stability analysis
Tuberculosis
Online Access:Get full text
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Summary:We study an SEIRS epidemiological model for the infectious disease Tuberculosis using differential equations. The entry of an infectious individual into a susceptible population leads to the spread of infection. There are chances of getting infected even after recovery, which has been taken into consideration. When the infection will establish itself or diminish is researched and validated by stability of equilibrium. The factor which gives the conclusion of equilibrium is the Basic Reproduction Number R0. If R0 < 1 then infection dies out and if R0 > 1, the infection would establish itself.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0114135