Mathematical Models in Epidemiology

£69.99

Mathematical Models in Epidemiology

Probability and statistics Mathematical modelling Stochastics Computational biology / bioinformatics Maths for engineers

Authors: Fred Brauer, Carlos Castillo-Chavez, Zhilan Feng

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Collection: Texts in Applied Mathematics

Language: English

Published by: Springer

Published on: 10th October 2019

Format: LCP-protected ePub

Size: 39 Mb

ISBN: 9781493998289


Introduction

The book is a comprehensive, self-contained introduction to the mathematical modeling and analysis of disease transmission models. It includes (i) an introduction to the main concepts of compartmental models including models with heterogeneous mixing of individuals and models for vector-transmitted diseases, (ii) a detailed analysis of models for important specific diseases, including tuberculosis, HIV/AIDS, influenza, Ebola virus disease, malaria, dengue fever and the Zika virus, (iii) an introduction to more advanced mathematical topics, including age structure, spatial structure, and mobility, and (iv) some challenges and opportunities for the future.

Exercises and Audience

There are exercises of varying degrees of difficulty, and projects leading to new research directions. For the benefit of public health professionals whose contact with mathematics may not be recent, there is an appendix covering the necessary mathematical background. There are indications which sections require a strong mathematical background so that the book can be useful for both mathematical modelers and public health professionals.

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