Main description:

The aim of this book is to build a fundamental understanding in Mathematical Biology, Epidemiology and Ecology. Written for biologists, mathematicians, applied statisticians and physicists, Mathematical Models in Population Biology: Essential Concepts in Biomathematics provides a coverage of different topics in mathematical biology from vector-borne diseases, fractional calculus, and stochastic differential equations to neuro-dynamics, illustrating some important models used for real data.

Contents:

Introduction: How to make sense out of data in Epidemiology, Ecology and Neurodynamics, or life as autocatalytic process. One Dimensional Systems in Ecology and Epidemiology. Higher Dimensional Systems. Time-scale Seperation and Centre-Manifold Analysis. Bifurcations into Deterministic Chaos. From Deterministic Chaos to Stochastic Processes. Stochastic Differential Equations. State discrete stochastic processes. Spatially Extended Stochastic Processes. Explicit multy-strain models, chaos and noise, case study dengue fever. Introduction to Neurodynamics I. Neurodynamics II and Chaotic Fluctuations. Neurodynamics III and Modelling the activity of neurons.