March 31, 2024Contemporary Mathematics and Applications (ConMathA)Open Access

Analysis of the Stability of the Tuberculosis Disease Spread Model

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Treating individuals during the active infected phase proves more effective at controlling tuberculosis than intervention during the latent stage.
Disease eradication occurs when the basic reproduction number calculated by the next generation matrix remains strictly less than one.
Theoretical model analysis applying the routh-hurwitz criterion and transcritical bifurcation confirms stability regimes for both equilibrium points.

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Implication

Theoretical model demonstrates tuberculosis eradication when the basic reproduction number is below one, indicating active phase treatment is most effective.

Cite This Study

Retno Wahyu Dewanti (2024) studied this question.

synapsesocial.com/papers/68e719d7b6db643587692f6b https://doi.org/10.20473/conmatha.v6i1.53836

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Implication

Theoretical model demonstrates tuberculosis eradication when the basic reproduction number is below one, indicating active phase treatment is most effective.

Analysis of the Stability of the Tuberculosis Disease Spread Model

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Implication

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Analysis of the Stability of the Tuberculosis Disease Spread Model

Key Points

Discussion

Implication

Cite This Study

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