Mathematical Models in Population Biology : Essential Concepts in Biomathematics (Chapman & Hall/crc Mathematical and Computational Biology)

Aguiar, Maira/ Ghaffari, Peyman/ Alves Mateus, Luis Guilherme/ Stollen

Chapman & Hall（2021/01発売）

• 製本 Hardcover:ハードカバー版
• 言語 ENG
• 商品コード 9781138088511
• DDC分類 511

Full 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

IntroductionNeurodynamics, 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.