Scientific, Technical & Medical      Mathematics

MATHEMATICAL MODELLING OF INFECTIOUS DISEASES: Dynamics of Cholera Infections

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Book Details
Language
English
Publishers
LAP LAMBERT Academic Publishing (12 April 2024)
Weight
0.09 KG
Publication Date
12/04/2024
ISBN-10
6204737821
Pages
52 pages
ISBN-13
9786204737829
Dimensions
15 x 0.3 x 22 cm
SKU
9786204737829
Author Name
Emmanuel Frimpong Nyamekye (Author)
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In this book, I have presented a mathematical epidemiology model of cholera using differential equations. I have formulated the optimal control problem with four time-dependent control functions namely vaccination, personal hygiene, treatment, and sanitation.

I have also applied forward-backward sweep method and fourth order Runge-Kutta method to solve the initial boundary problem. My numerical simulations suggest that the mathematical model with controls shows a decrease in the amount of environmental vibrios in both high and low concentration as compared to the model without opcontrols.

A similar observation was made in model that has controls where there was a significant decrease in the number of infected individuals which affected both the susceptible and recovery population. All numerical simulations in this book were performed using the MATLAB software.

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