Malaria remains a leading cause of morbidity and mortality worldwide, especially in endemic regions where human–vector interactions drive transmission. To capture the memory-dependent dynamics that traditional integer-order models overlook, we present a fractional-order malaria model using the Caputo, Caputo–Fabrizio, and Atangana–Baleanu derivatives. The model was solved numerically with the fractional Adams–Bashforth predictor–corrector method, and simulations were performed to evaluate disease dynamics under varying conditions. Simulations carried out on the effects of fractional order and treatment rate on the basic reproduction number (R0) and compartmental population changes showed that decreasing the fractional order (from 0.9 to 0.5) reduces the basic reproduction number R0 and lowers infection levels, suggesting that stronger memory effects attenuate transmission potential. Conversely, increasing the treatment rate for asymptomatic individuals (from 0.05 to 0.25) significantly decreases both asymptomatic and symptomatic cases, shortens the epidemic duration, and improves recovery outcomes. These findings revealed that fractional-order models provide a more realistic representation of malaria dynamics by incorporating memory effects and highlighting the role of asymptomatic carriers. Strengthening early treatment of asymptomatic infections through improved diagnostics, alongside sustained vector-control measures such as insecticide-treated nets and larviciding, is recommended.
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Paperback. Etat : new. Paperback. Malaria remains a leading cause of morbidity and mortality worldwide, especially in endemic regions where human-vector interactions drive transmission. To capture the memory-dependent dynamics that traditional integer-order models overlook, we present a fractional-order malaria model using the Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. The model was solved numerically with the fractional Adams-Bashforth predictor-corrector method, and simulations were performed to evaluate disease dynamics under varying conditions. Simulations carried out on the effects of fractional order and treatment rate on the basic reproduction number (R0) and compartmental population changes showed that decreasing the fractional order (from 0.9 to 0.5) reduces the basic reproduction number R0 and lowers infection levels, suggesting that stronger memory effects attenuate transmission potential. Conversely, increasing the treatment rate for asymptomatic individuals (from 0.05 to 0.25) significantly decreases both asymptomatic and symptomatic cases, shortens the epidemic duration, and improves recovery outcomes. These findings revealed that fractional-order models provide a more realistic representation of malaria dynamics by incorporating memory effects and highlighting the role of asymptomatic carriers. Strengthening early treatment of asymptomatic infections through improved diagnostics, alongside sustained vector-control measures such as insecticide-treated nets and larviciding, is recommended. 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 9789999342476
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Paperback. Etat : new. Paperback. Malaria remains a leading cause of morbidity and mortality worldwide, especially in endemic regions where human-vector interactions drive transmission. To capture the memory-dependent dynamics that traditional integer-order models overlook, we present a fractional-order malaria model using the Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. The model was solved numerically with the fractional Adams-Bashforth predictor-corrector method, and simulations were performed to evaluate disease dynamics under varying conditions. Simulations carried out on the effects of fractional order and treatment rate on the basic reproduction number (R0) and compartmental population changes showed that decreasing the fractional order (from 0.9 to 0.5) reduces the basic reproduction number R0 and lowers infection levels, suggesting that stronger memory effects attenuate transmission potential. Conversely, increasing the treatment rate for asymptomatic individuals (from 0.05 to 0.25) significantly decreases both asymptomatic and symptomatic cases, shortens the epidemic duration, and improves recovery outcomes. These findings revealed that fractional-order models provide a more realistic representation of malaria dynamics by incorporating memory effects and highlighting the role of asymptomatic carriers. Strengthening early treatment of asymptomatic infections through improved diagnostics, alongside sustained vector-control measures such as insecticide-treated nets and larviciding, is recommended. 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 9789999342476
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Taschenbuch. Etat : Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Malaria remains a leading cause of morbidity and mortality worldwide, especially in endemic regions where human-vector interactions drive transmission. To capture the memory-dependent dynamics that traditional integer-order models overlook, we present a fractional-order malaria model using the Caputo, Caputo-Fabrizio, and Atangana-Baleanu derivatives. The model was solved numerically with the fractional Adams-Bashforth predictor-corrector method, and simulations were performed to evaluate disease dynamics under varying conditions. Simulations carried out on the effects of fractional order and treatment rate on the basic reproduction number (R0) and compartmental population changes showed that decreasing the fractional order (from 0.9 to 0.5) reduces the basic reproduction number R0 and lowers infection levels, suggesting that stronger memory effects attenuate transmission potential. Conversely, increasing the treatment rate for asymptomatic individuals (from 0.05 to 0.25) significantly decreases both asymptomatic and symptomatic cases, shortens the epidemic duration, and improves recovery outcomes. These findings revealed that fractional-order models provide a more realistic representation of malaria dynamics by incorporating memory effects and highlighting the role of asymptomatic carriers. Strengthening early treatment of asymptomatic infections through improved diagnostics, alongside sustained vector-control measures such as insecticide-treated nets and larviciding, is recommended. N° de réf. du vendeur 9789999342476
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Taschenbuch. Etat : Neu. A New Fractional-Order Epidemiological Modeling of Malaria | Asymptomatic Infection and Vector Control Interventions | Agbata Benedict Celestine | Taschenbuch | Englisch | 2026 | Eliva Press | EAN 9789999342476 | 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 136371297
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