This book is a compendious collection of papers designed to expose the current trends in mathematical modelling. It details current research on models of in-host dynamics, epidemics, population dynamics and psycho-social dynamics. The chapters are written in a simple and concise way for readers who are familiar with basic mathematical modelling offered in undergraduate courses. The main objective of this book is to detail various applications of mathematics in biomedical sciences, resources management and social settings. Many of the book chapters contain current contentious issues in mathematical modelling and as such, the book can be used to generate projects for bio-mathematic students. Graduate students wishing to acquire and consolidate knowledge in mathematical modelling will find this an excellent text for their research.