Mathematical modelling of infectious disease models

We divided this thesis into the eight sections. The first section of this thesis gives an introduction regarding to mathematical modeling and modeling process. The second section presents a general equation of chemical kinetics and mass action law. The technique of sensitivity analysis and scaling of variables are introduced clearly in the third and fourth section, respectively. Then, in section five we give the software tools that used for computational simulations in this study. After that, we define some infectious dieses models such as SI, SIS and SIR model in section six. In section seven, we give the mathematical modeling for the Ebola virus disease (EVD) with some computational simulations based on the number of populations and local sensitivity analysis. Finally, conclusions and recommendations are given in section eight.