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An Epidemiological Model for Tuberculosis Considering Environmental Transmission and Reinfection
Mathematics ; 11(11):2423, 2023.
Article in English | ProQuest Central | ID: covidwho-20238645
ABSTRACT
As tuberculosis (TB) patients do not have lifetime immunity, environmental transmission is one of the key reasons why TB has not been entirely eradicated. In this study, an SVEIRB model of recurrent TB considering environmental transmission was developed to explore the transmission kinetics of recurrent TB in the setting of environmental transmission, exogenous infection, and prophylaxis. A more thorough explanation of the effect of environmental transmission on recurrent TB can be found in the model's underlying regeneration numbers. The global stability of disease-free and local equilibrium points can be discussed by looking at the relevant characteristic equations. The Lyapunov functions and the LaSalle invariance principle are used to show that the local equilibrium point is globally stable, and TB will persist if the basic reproduction number is larger. Conversely, the disease will disappear if the basic reproduction number is less than one. The impact of environmental transmission on the spread of tuberculosis was further demonstrated by numerical simulations, which also demonstrated that vaccination and reducing the presence of the virus in the environment are both efficient approaches to control the disease's spread.
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Full text: Available Collection: Databases of international organizations Database: ProQuest Central Type of study: Observational study Topics: Vaccines Language: English Journal: Mathematics Year: 2023 Document Type: Article

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Full text: Available Collection: Databases of international organizations Database: ProQuest Central Type of study: Observational study Topics: Vaccines Language: English Journal: Mathematics Year: 2023 Document Type: Article