MATHEMATICAL MODELLING OF INFECTIOUS DISEASES

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.

Autorentext

Mr Emmanuel Frimpong Nyamekye has a distinction and excellent grades in upper secondary school Certificate Examination. He furthered his education at University of Energy and Natural Resources in Ghana where he performed creditably and graduated with honors in BSc Mathematics. He is a researcher in Disease Modelling and Optimization.