Mathematical Modeling and Analysis of Coffee Fruit Disease

Abstract

In this thesis, mathematical model for coffee fruit disease was developed based on compartmental approach. The thesis encompasses the following fruitful findings. Boundedness and positivity of the model were proved. The model was linearized at equilibrium point. Basic reproduction number was also calculated by using next generation matrix. The local and global stability conditions of the model were also well investigated for both disease free and endemic equilibrium points. Furthermore, sensitivity analysis of the model parameters was also carried out. Finally, in order to verify the applicability of the result MATLAB simulation was implemented and agrees with the analytical result.