A Mathematical Model for the Epidemiology of Tuberculosis with Estimate of the Basic Reproduction Number

Ibrahim, M. O.

doi:10.9790/5728-0554652

Cited by 3 publications

(2 citation statements)

References 22 publications

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“…By translating the problems into mathematics vocabularies, will get a mathematics model that is the result which described the problems that would be found its solution. The Mathematics model can be applied to know the infection of the tuberculosis disease, expected by the model of mathematics gotten, it could be helped to find the solution how could be solved about the infection of tuberculosis disease which has a complex increasing [3]. This paper will discuss about the forming and analyzing mathematics model to tuberculosis virus infection.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Model for Vaccinated Tuberculosis Disease with VEIT Model

Taufik¹,

Lestari²,

Septiarini³

2015

IJMO

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Section: Introductionmentioning

confidence: 99%

Mathematical Model for Vaccinated Tuberculosis Disease with VEIT Model

Taufik¹,

Lestari²,

Septiarini³

2015

IJMO

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“…Infection with tuberculosis (TB) is caused by a bacterial known as Mycobacterium Tuberculosis [1,2,3]. Globally, TB is one of the greatest diseases of public concern because the pandemic is a substantial threat to socioeconomic development imposing a heavy burden on families, communities and economies [4,5,6]. In 1993, the World Health Organisation (WHO) declared TB a global emergency and about 2 billion people were estimated to be globally infected with TB that year [7].…”

Section: Introductionmentioning

confidence: 99%

On the Homotopy Analysis Method for an Seir Tuberculosis Model

Ibrahim¹,

Egbetade²

2013

AJAMS

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In this paper, we provide a very accurate, non-perturbative, semi-analytical solution to a system of nonlinear first-order differential equations modeling the transmission of tuberculosis (TB) in a homogeneous population. Our analysis is based on Homotopy Analysis Method (HAM). Maple 15 software is used to carry out the computations. Our results show the validity and potential of HAM for computing the solution of nonlinear equations.

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Assessing the Effectiveness of Mass Testing and Quarantine in the Spread of COVID‐19 in Beijing and Xinjiang, 2020

Jin

Zhang

2021

Complexity

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Coronavirus disease (COVID-19) cases and COVID-19-related deaths have been increasing worldwide since the outbreak in 2019. Before the mass vaccination campaign for COVID-19, the main methods for COVID-19 control in China were mass testing and quarantine. Based on the transmission mechanism of COVID-19, we constructed a dynamic model for COVID-19 transmission in two typical regions: Beijing and Xinjiang. We calculated the basic reproduction number R 0 , proved the global stability of COVID-19 transmission via the Lyapunov function technique, and introduced the final size. We assessed the effectiveness of mass testing and quarantine. Sensitivity analysis indicated that the more the people were tested per day, the larger is the quarantine proportionality coefficient, the earlier the source location was determined, and the better is the controlling effect. In addition, it was more effective to increase the coefficient of quarantine if the population density in the region was low. To eliminate the pandemic, the government has to expand testing and quarantine, requiring a large amount of continuous manpower, material, and financial resources. Therefore, new control measures should be developed.

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A Mathematical Model for the Epidemiology of Tuberculosis with Estimate of the Basic Reproduction Number

Abstract: Abstract:In this paper, we study a vaccination model for tuberculosis (TB)

Cited by 3 publications

References 22 publications

Mathematical Model for Vaccinated Tuberculosis Disease with VEIT Model

Mathematical Model for Vaccinated Tuberculosis Disease with VEIT Model

On the Homotopy Analysis Method for an Seir Tuberculosis Model

Assessing the Effectiveness of Mass Testing and Quarantine in the Spread of COVID‐19 in Beijing and Xinjiang, 2020

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