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Non-trivial solution of a differential equations system for the tuberculosis transmission dynamics

Abstract : We obtain a non-trivial solution of a system of seven differential equations that describe the transmission dynamics of Tuberculosis (TB). This model considers a susceptible population that can be infected with two types of TB, i.e., those infected with typical TB and others with TB that is resistant to antibiotics. We include the population that can be vaccinated. We obtain the critical point of the system and the five eigenvalues from the evaluation of the Jacobian matrix at this nontrivial critical point.
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https://hal.archives-ouvertes.fr/hal-03519522
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Submitted on : Monday, January 10, 2022 - 3:06:08 PM
Last modification on : Saturday, January 22, 2022 - 3:04:36 AM
Long-term archiving on: : Monday, April 11, 2022 - 11:27:14 PM

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Raúl Isea, Karl-E Lonngren. Non-trivial solution of a differential equations system for the tuberculosis transmission dynamics. Ciencia en Revolución, Centro Nacional de Tecnología Química (CNTQ), 2019, 5 (15), pp.56-60. ⟨hal-03519522⟩

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