Modelling Order and Disorder
Integro-Differential Nonlinear Equations
1st Edition
Published on 23. September 2025
198 pages
978-1-040-43512-0 (ISBN)
Description
Modelling Order and Disorder: Integro-Differential Nonlinear Equations provides an overview of a general mathematical structure: integro-differential nonlinear equations. This mathematical structure provides a unified approach to model complex systems in social sciences, economics, biology, medicine, and other quantitative disciplines. The general aim of the book is to reflect possible organization and disorganization phenomena in the applied sciences, as well as to focus on non-local interactions.
Features
Applications to social, biological, and physical phenomena
Suitable for researchers and post-graduate students
Open questions and perspectives on future avenues of research
Features
Applications to social, biological, and physical phenomena
Suitable for researchers and post-graduate students
Open questions and perspectives on future avenues of research
More details
Series
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional and scholarly
Illustrations
1 Line drawings, black and white; 1 Illustrations, black and white
File size
0,62 MB
ISBN-13
978-1-040-43512-0 (9781040435120)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Book
09/2025
1st Edition
Chapman & Hall/CRC
€155.20
Shipment within 10-20 days
Person
Miroslaw Lachowicz is Full Professor of Mathematics at the University of Warsaw. From 2016-2024, he served as the Chairman of the Scientific Committee of the Institute of Applied Mathematics and Mechanics. He is a Member of Editorial Boards: e.g. Mathematical Methods in the Applied Sciences, Mathematical Biosciences and Engineering, Letters in Biomathematics, Opuscula Mathematica.
His research interests are Integro-differential Equations, Singularly Perturbed Problems, Markov Processes, Applications in Life and Social Sciences, Relationships between Mathematics and the Humanities.
He has numerous scientific contacts, especially with universities in Italy and South Africa. He was an honorary professor at the University of KwaZulu-Natal in Durban, and he also spent some time at the Universities of Pretoria and Stellenbosch. He also travelled to numerous institutions in Europe and Japan.
His research interests are Integro-differential Equations, Singularly Perturbed Problems, Markov Processes, Applications in Life and Social Sciences, Relationships between Mathematics and the Humanities.
He has numerous scientific contacts, especially with universities in Italy and South Africa. He was an honorary professor at the University of KwaZulu-Natal in Durban, and he also spent some time at the Universities of Pretoria and Stellenbosch. He also travelled to numerous institutions in Europe and Japan.
Content
Preface Acknowledgements 1 Introduction 2 Basic Mathematical Structures 3 Preliminary results 4 Constant interaction rate 5 Non-constant kernel of interaction 6 Small range of interactions 7 PDE limits 8 Equilibrium solutions 9 Microscopic scale 10 Diauxic growth 11 Discrete states 12 Space non-local models 13 Some applications 14 Conclusion Concluding proverb Bibliography Index
