Mathematical Models in Population Biology, Volume I

Essential Concepts in Biomathematics
1. Auflage 2020
ISBN: 978-1-138-08851-1
Verlag: Taylor & Francis Ltd

Buch, Englisch, 350 Seiten

Reihe: Chapman & Hall/CRC Mathematical Biology Series

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.

Autoren/Hrsg.

Aguiar, Maira

Ghaffari, Peyman

Alves Mateus, Luis Guilherme

Stollenwerk, Nico

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Stochastik
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Epidemiologie, Medizinische Statistik

Inhaltsverzeichnis

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.