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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control: Theory and Applications - Couverture souple
Synopsis
Tuberculosis (TB), caused by Mycobacterium tuberculosis, remains a leading cause of death from a single infectious agent, particularly in low-resource settings. Classical models often fail to capture the memory-dependent and complex dynamics of TB transmission. This study introduces a novel fractional-order mathematical model using the Atangana-Baleanu-Caputo (ABC) derivative to incorporate vaccination, reinfection, and environmental interventions. The existence and uniqueness of solutions are established using Schauder and Banach fixed-point theorems. Numerical simulations showed that decreasing the fractional order significantly reduces the rate of disease spread, lowers the peak incidence, and extends the duration of the epidemic curve, reflecting the hereditary and temporal properties captured by fractional calculus, while higher fractional orders increase the basic reproduction number (R0) due to enhanced memory effects. Sensitivity analysis revealed that vaccination, timely treatment, and environmental hygiene are the most effective measures for reducing both (R0) and cumulative incidence. The study showed that fractional-order models provide more realistic epidemic trajectories than classical integer-order models and offer a robust framework for guiding TB control strategies and policy planning.
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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control: Theory and Applications
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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control (Paperback)
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Paperback. Etat : new. Paperback. Tuberculosis (TB), caused by Mycobacterium tuberculosis, remains a leading cause of death from a single infectious agent, particularly in low-resource settings. Classical models often fail to capture the memory-dependent and complex dynamics of TB transmission. This study introduces a novel fractional-order mathematical model using the Atangana-Baleanu-Caputo (ABC) derivative to incorporate vaccination, reinfection, and environmental interventions. The existence and uniqueness of solutions are established using Schauder and Banach fixed-point theorems. Numerical simulations showed that decreasing the fractional order significantly reduces the rate of disease spread, lowers the peak incidence, and extends the duration of the epidemic curve, reflecting the hereditary and temporal properties captured by fractional calculus, while higher fractional orders increase the basic reproduction number (R0) due to enhanced memory effects. Sensitivity analysis revealed that vaccination, timely treatment, and environmental hygiene are the most effective measures for reducing both (R0) and cumulative incidence. The study showed that fractional-order models provide more realistic epidemic trajectories than classical integer-order models and offer a robust framework for guiding TB control strategies and policy planning. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9789999343435
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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control (Paperback)
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Paperback. Etat : new. Paperback. Tuberculosis (TB), caused by Mycobacterium tuberculosis, remains a leading cause of death from a single infectious agent, particularly in low-resource settings. Classical models often fail to capture the memory-dependent and complex dynamics of TB transmission. This study introduces a novel fractional-order mathematical model using the Atangana-Baleanu-Caputo (ABC) derivative to incorporate vaccination, reinfection, and environmental interventions. The existence and uniqueness of solutions are established using Schauder and Banach fixed-point theorems. Numerical simulations showed that decreasing the fractional order significantly reduces the rate of disease spread, lowers the peak incidence, and extends the duration of the epidemic curve, reflecting the hereditary and temporal properties captured by fractional calculus, while higher fractional orders increase the basic reproduction number (R0) due to enhanced memory effects. Sensitivity analysis revealed that vaccination, timely treatment, and environmental hygiene are the most effective measures for reducing both (R0) and cumulative incidence. The study showed that fractional-order models provide more realistic epidemic trajectories than classical integer-order models and offer a robust framework for guiding TB control strategies and policy planning. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9789999343435
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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control : Theory and Applications
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Tuberculosis (TB), caused by Mycobacterium tuberculosis, remains a leading cause of death from a single infectious agent, particularly in low-resource settings. Classical models often fail to capture the memory-dependent and complex dynamics of TB transmission. This study introduces a novel fractional-order mathematical model using the Atangana-Baleanu-Caputo (ABC) derivative to incorporate vaccination, reinfection, and environmental interventions. The existence and uniqueness of solutions are established using Schauder and Banach fixed-point theorems. Numerical simulations showed that decreasing the fractional order significantly reduces the rate of disease spread, lowers the peak incidence, and extends the duration of the epidemic curve, reflecting the hereditary and temporal properties captured by fractional calculus, while higher fractional orders increase the basic reproduction number (R0) due to enhanced memory effects. Sensitivity analysis revealed that vaccination, timely treatment, and environmental hygiene are the most effective measures for reducing both (R0) and cumulative incidence. The study showed that fractional-order models provide more realistic epidemic trajectories than classical integer-order models and offer a robust framework for guiding TB control strategies and policy planning. N° de réf. du vendeur 9789999343435
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The Impact of Vaccination and Environmental Interventions on Tuberculosis Control | Theory and Applications
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Taschenbuch. Etat : Neu. The Impact of Vaccination and Environmental Interventions on Tuberculosis Control | Theory and Applications | Agbata Benedict Celestine | Taschenbuch | Englisch | 2026 | Eliva Press | EAN 9789999343435 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu Print on Demand. N° de réf. du vendeur 136371202
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