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portada A Fractional Calculus Approach to Pneumonia Transmission: Fractional-Order Dynamics of Pneumonia, with Intervention Assessment, and Epidemiological Data Fitting.DE
Type
Physical Book
Publisher
Language
English
Format
Paperback
Dimensions
22x15 cm
ISBN13
9786209793479

A Fractional Calculus Approach to Pneumonia Transmission: Fractional-Order Dynamics of Pneumonia, with Intervention Assessment, and Epidemiological Data Fitting.DE

New Book Imported to New Zealand
Delivery: 03 Dec - 10 Dec Shipping: 14 to 15 business days.
NZ$ 123.13
Import costs and 15% GST included in the price ✅
NZ$ 123.13

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Synopsis "A Fractional Calculus Approach to Pneumonia Transmission: Fractional-Order Dynamics of Pneumonia, with Intervention Assessment, and Epidemiological Data Fitting.DE"

This book investigates the transmission dynamics of pneumonia using a fractional-order mathematical modeling framework that incorporates multiple intervention strategies such as vaccination, treatment, reinfection, and environmental control. The model applies three types of fractional differential operators Caputo, Caputo-Fabrizio, and Atangana-Baleanu-to capture memory effects in the spread of the disease. Theoretical analysis confirms the existence and uniqueness of the model solutions using fixed-point theory. To validate the model, it was fitted to monthly pneumonia hospitalization data for children aged 0-14 years in England from January 2021 to March 2024. Model parameters were estimated through least-squares optimization, and the results showed strong agreement between the simulated outcomes and the real data. Numerical simulations revealed that increasing the fractional order slows the rate of disease transmission, reduces the peak number of infections, and extends the duration of outbreaks, reflecting the memory characteristics of fractional systems.

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