A Novel Fractional Calculus Approach to Infectious Disease Modeling (Paperback)

Idioma: inglés

Editorial: Eliva Press, 2026

9999342485 / 9789999342483

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Paperback. An infectious disease like Malaria, a life-threatening disease responsible for millions of deaths worldwide, remains a major public health issue, especially in under-resourced regions. It is caused by Plasmodium parasites, transmitted through mosquito bites, and disproportionately affects vulnerable groups like children and pregnant women. To improve understanding and management of malaria transmission, we investigated different mathematical models, traditionally based on integer-order derivatives. In this study, we introduced a novel approach using a fractional-order mathematical model to evaluate how treatment strategies impact malaria's spread. Initially, we modeled limited treatment scenarios with integer-order nonlinear differential equations. However, recognizing the complexity of malaria dynamics, we enhanced the model with fractional-order derivatives and power laws to capture a more detailed picture of disease behavior. The research established conditions for solution existence and uniqueness within the fractional framework and assessed the stability of the endemic equilibrium using the Lyapunov function technique. A sensitivity analysis of the basic reproduction number identified key factors influencing malaria transmission. Using the fractional Adams-Bashforth-Moulton method, we simulated various scenarios to explore the effects of model parameters and fractional-order values. Visual tools like surface and contour plots helped illustrate the findings. The results showed that improving treatment strategies and implementing preventive measures, such as mosquito control and timely medication, significantly reduced malaria cases. On the other hand, factors like increased mosquito contact and ineffective treatments aggravated the disease's impact. This study provided valuable insights into malaria dynamics, highlighting the critical need for sustained efforts in treatment and prevention to mitigate its devastating effects on communities. 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 ref. del artículo 9789999342483

Título
A Novel Fractional Calculus Approach to Infectious Disease Modeling (Paperback)
Autor
Agbata Benedict Celestine
Editorial
Eliva Press
Año de publicación
2026
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
9999342485
ISBN 13
9789999342483

CitiRetail

Stevenage, Reino Unido

Vendedor de 5 estrellas

Vendedor de IberLibro desde 29 de junio de 2022

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Primer artículoEUR 44,20EUR 44,20
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