Current Trends in Dynamical Systems in Biology and Natural Sciences

This book summarizes the latest results and challenges in applying mathematics to biology, epidemiology, and ecology, with a focus on diverse mathematical tools and applications.

Format: Paperback / softback
Length: 243 pages
Publication date: 07 May 2021
Publisher: Springer Nature Switzerland AG

This comprehensive book presents the latest advancements and emerging challenges in the interdisciplinary field of mathematics applied to biology, epidemiology, and ecology. It serves as a valuable resource for researchers, scholars, and practitioners seeking to explore the intricate connections between mathematics and these domains. Comprising a collection of the most significant results presented at the Ninth Edition of the International Workshop "Dynamical Systems Applied to Biology and Natural Sciences – DSABNS," held from February 7 to 9, 2018, at the Department of Mathematics, University of Turin, Italy, the book offers a diverse range of topics. While ecology and epidemiology take center stage, the coverage extends to waste recycling and genetic applications, showcasing the broad applications of mathematics in these fields.

The 12 peer-reviewed contributions in this book employ a diverse array of mathematical tools, including ordinary and partial differential equations, delay equations, stochastic equations, control theory, and sensitivity analysis. These tools are employed to address complex problems and unravel the underlying dynamics of biological, epidemiological, and ecological systems. By presenting the latest results and fostering innovative thinking, this book aims to contribute to the dissemination of knowledge and the exploration of new frontiers in the application of mathematics to real-world problems.

The book is organized into four main sections, each addressing a specific aspect of the mathematical applications in biology, epidemiology, and ecology. The first section focuses on modeling and analysis of ecological systems, including population dynamics, food webs, and biodiversity. The second section explores the application of mathematics to epidemiology, including disease modeling, outbreak analysis, and public health interventions. The third section examines the use of mathematics in environmental sciences, such as water resource management, climate change modeling, and ecosystem dynamics. The fourth section explores the application of mathematics in genetic engineering, including gene expression analysis, genetic algorithm optimization, and DNA sequencing.

Each chapter in the book provides a detailed overview of the relevant mathematical concepts, models, and methodologies employed in the respective application area. The contributions are written by leading experts in the field, ensuring a high level of expertise and clarity. The book also includes numerous examples, figures, and tables to illustrate the theoretical concepts and facilitate a better understanding of the practical applications.

Whether you are a researcher, student, or professional working in biology, epidemiology, or ecology, this book will provide you with valuable insights and tools to advance your understanding and research in these fields. It serves as a valuable resource for anyone seeking to bridge the gap between mathematics and the natural sciences, and to apply mathematical methodologies to address complex problems and achieve meaningful outcomes.

In conclusion, this comprehensive book presents the latest results and envisages new challenges in the application of mathematics to various practical situations in biology, epidemiology, and ecology. It serves as a valuable resource for researchers, scholars, and practitioners seeking to explore the interdisciplinary field of mathematics applied to these domains. By employing a diverse array of mathematical tools and addressing a wide range of topics, this book contributes to the dissemination of knowledge and the exploration of new frontiers in the application of mathematics to real-world problems.

Weight: 454g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030411220
Edition number: 1st ed. 2020