| Title | Current Trends in Dynamical Systems in Biology and Natural Sciences |
| Author(s) | Maira Aguiar, Carlos Braumann, Bob W. Kooi, Andrea Pugliese, Nico Stollenwerk, Ezio Venturino |
| Publisher | Springer |
| Year | 2020 |
| Edition | 1st edition |
| Language | English |
| Pages | 243 pages |
| ISBN | 9783030411190 |
| Genre / Domain | Mathematical Biology, Applied Mathematics, Ecology |
| Series | SEMA SIMAI Springer Series |
| Size | Unknown |
| Extension |
Summary
"Current Trends in Dynamical Systems in Biology and Natural Sciences" is a collection of peer-reviewed contributions that disseminates the latest results and envisages new challenges in the application of mathematics to practical situations in biology, epidemiology, and ecology [citation:7][citation:12]. Published by Springer in 2020 as part of the SEMA SIMAI Springer Series, this volume comprises the main results presented at the Ninth Edition of the International Workshop "Dynamical Systems Applied to Biology and Natural Sciences – DSABNS," held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy [citation:7]. The book brings together twelve contributions that showcase the diversity and vitality of current research at the intersection of mathematics and the life sciences.
The volume covers a wide range of mathematical tools and biological applications. The topics addressed involve such diverse mathematical approaches as ordinary and partial differential equations, delay equations, stochastic equations, control theory, and sensitivity analysis [citation:7]. While the principal focus is on ecology and epidemiology, the coverage extends to less traditional areas such as waste recycling and genetic applications [citation:12]. Specific chapters examine modeling ecological systems from niche theory to Lotka-Volterra equations, spatial patterns in invasive species dynamics, structured population models with delay equations, harvesting policies with stochastic environments, and the population dynamics of long-lived raptor species using discrete-time branching models [citation:7][citation:15].
For researchers and practitioners, this book serves as an essential resource that provides both theoretical depth and practical relevance. The contributions demonstrate how mathematical modeling can address real-world biological problems, from understanding the spread of infectious diseases to managing natural resources and controlling invasive species [citation:7]. The inclusion of sensitivity analysis techniques, optimal control approaches, and stochastic methods equips readers with a comprehensive toolkit for tackling complex biological systems. The volume also highlights the importance of interdisciplinary collaboration, bringing together mathematicians, biologists, and epidemiologists to address fundamental questions in the life sciences [citation:11].
The primary audience for this book includes researchers and graduate students in mathematical biology, applied mathematics, ecology, and epidemiology. The advanced nature of the content makes it particularly suitable for those with a strong mathematical background who are interested in applying dynamical systems theory to biological problems. The book also serves as a valuable reference for scientists working in related fields such as public health, conservation biology, and environmental management, offering insights into how mathematical models can inform decision-making and policy.
This volume stands as a testament to the vibrant and ongoing collaboration between mathematicians and life scientists. The DSABNS workshop series, from which this collection originates, has become a key international forum for disseminating cutting-edge research in dynamical systems applied to biology [citation:11]. By publishing these selected contributions, Springer and the editors have ensured that the insights and methodologies presented at the workshop reach a broader audience, fostering further advances in the field. The book's comprehensive scope and rigorous peer review make it a valuable addition to the literature on mathematical biology and a fitting representation of the current trends shaping the discipline [citation:7][citation:12].
Key Features
- Presents twelve peer-reviewed contributions from the DSABNS 2018 international workshop [citation:7].
- Covers diverse mathematical tools including differential equations, delay equations, and stochastic methods [citation:7].
- Addresses applications in ecology, epidemiology, and natural sciences [citation:12].
- Includes chapters on invasive species dynamics, structured populations, and harvesting policies [citation:20].
- Features research on vaccine-preventable infections and public health modeling [citation:20].
- Explores the population dynamics of long-lived raptor species using real data [citation:15].
- Demonstrates sensitivity analysis and optimal control techniques for biological systems [citation:7].
- Published as part of the SEMA SIMAI Springer Series, ensuring high academic quality [citation:12].
- Edited by leading experts in mathematical biology and dynamical systems [citation:7].
- Serves as a valuable reference for researchers and graduate students in the field.
About Author
Maira Aguiar is a biologist trained in the mathematical modeling of biological systems, with emphasis on nonlinear dynamics, bifurcation analysis, and biostatistics. Her research investigates problems in public health epidemiology, focusing on the dynamics of vector-borne diseases. She has authored more than 35 papers and is frequently invited as a plenary speaker at international scientific meetings. Since 2018, she has been Vice-President of the European Society of Mathematical and Theoretical Biology [citation:7].
Carlos A. Braumann is Emeritus Professor in the Department of Mathematics and a member of the Research Centre in Mathematics and Applications at Universidade de Évora, Portugal, working on stochastic differential equations and biological applications. He has been an elected member of the International Statistical Institute since 1992 and has served as President of both the European Society for Mathematical and Theoretical Biology (2009–12) and the Portuguese Statistical Society (2006–12) [citation:7]. Bob W. Kooi's main research interests concern interacting populations in life sciences using mathematical models based on physical and chemical processes at different organizational levels, with emphasis on sensitivity, perturbation, bifurcation, and nonlinear dynamics analysis techniques [citation:7].
Andrea Pugliese is Professor of Mathematical Analysis and Mathematical Biology at the University of Trento. He obtained a Master's in Mathematics at the University La Sapienza of Rome and a PhD in Ecology and Evolution at the State University of New York at Stony Brook. He is the author of more than 90 scientific publications, mainly in mathematical epidemiology and ecology, and serves on the editorial boards of the Journal of Mathematical Biology and the Journal of Biological Dynamics [citation:7]. Nico Stollenwerk received his PhD in theoretical physics from the University of Clausthal and is currently the Principal Investigator of the Mathematical Biology group at CMAF, Lisbon University. Ezio Venturino received his PhD in Applied Mathematics from SUNY at Stony Brook in 1984 and is currently Professor of Mathematics at the University of Turin, Italy, with research focused on nonlinear models for biological and ecological applications [citation:7].
Related Books
- Discrete Mathematical Models in Population Biology: Ecological, Epidemic, and Evolutionary Dynamics — Saber Elaydi and J. M. Cushing
- Mathematical Models in Population Biology and Epidemiology — Fred Brauer and Carlos Castillo-Chavez
- An Introduction to Mathematical Epidemiology — Maia Martcheva
- Mathematical Biology: I. An Introduction — James D. Murray
- Population Ecology: First Principles — John Vandermeer and Deborah Goldberg
- Dynamical Systems in Population Biology — Xiao-Qiang Zhao
- Mathematical Modeling in Ecology — Pierre Auger et al.
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FAQ
Q : Who are the editors of this book?
R : The book is edited by Maira Aguiar, Carlos Braumann, Bob W. Kooi, Andrea Pugliese, Nico Stollenwerk, and Ezio Venturino, all leading experts in mathematical biology and dynamical systems [citation:7].
Q : What is the main focus of this volume?
R : It disseminates the latest results and envisages new challenges in applying mathematics to practical situations in biology, epidemiology, and ecology, with a focus on dynamical systems approaches [citation:7][citation:12].
Q : Where was the workshop that inspired this book held?
R : The Ninth International Workshop "Dynamical Systems Applied to Biology and Natural Sciences – DSABNS" was held from 7 to 9 February 2018 at the Department of Mathematics, University of Turin, Italy [citation:7].
Q : What topics are covered in the book?
R : Topics include invasive species dynamics, structured population models, harvesting policies, vaccine-preventable infections, composting plant modeling, and long-lived raptor population dynamics [citation:7][citation:20].
Q : Who is the target audience for this book?
R : Researchers and graduate students in mathematical biology, applied mathematics, ecology, and epidemiology, as well as scientists working in public health and conservation biology [citation:12].
Q : What is the ISBN of the book?
R : The ISBN is 9783030411190 [citation:12].
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