Introduction to Mathematical Modelling

Prof. Farai Nyabadza

Department of Mathematics and Applied Mathematics, University of Johannesburg, South Africa. 


Abstract:

Mathematical modelling is the process of representing a real-world problem in mathematical terms, typically in the form of equations, and utilizing the equations to both better understand the original problem and also find new features related to the problem. Modelling is essential to our understanding of the world and enables researchers to predict the outcomes of phenomena and possibly create the technologies of the future. With modelling, we look at epidemics, predict to course of the epidemic and quantify the impact of interventions. In the anticipated talk we shall look at the basics of modelling, types of models, and zero our focus on deterministic models and how they are used to formulate infectious disease models. We look at the essential components of modelling and consider some practical example on how these models are used.

Software Required: Matlab/Octave or Python

Lecture Materials

Hands on Project: A population dynamics model for crime: the role of criminal escape and fear