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.
Book Details: |
|
ISBN-13: |
978-620-4-73782-9 |
ISBN-10: |
6204737821 |
EAN: |
9786204737829 |
Book language: |
English |
By (author) : |
Emmanuel Frimpong Nyamekye |
Number of pages: |
52 |
Published on: |
2024-04-12 |
Category: |
Theory of probability, stochastics, mathematical statistics |