Overview
- Covers both basic and cutting-edge material, quickly guiding the reader through the subject
- Includes MATLAB codes of many figures, preparing the reader for numerical simulations
- Features a significant amount of new material not included in other books
Part of the book series: Lecture Notes on Mathematical Modelling in the Life Sciences (LMML)
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Table of contents (14 chapters)
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Front Matter
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Linear Differential and Difference Equations
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Front Matter
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Nonlinear Differential Equations
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Front Matter
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Applications to Epidemic Models
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Front Matter
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Back Matter
Keywords
About this book
This book presents the basic theoretical concepts of dynamical systems with applications in population dynamics. Existence, uniqueness and stability of solutions, global attractors, bifurcations, center manifold and normal form theories are discussed with cutting-edge applications, including a Holling's predator-prey model with handling and searching predators and projecting the epidemic forward with varying level of public health interventions for COVID-19.
As an interdisciplinary text, this book aims at bridging the gap between mathematics, biology and medicine by integrating relevant concepts from these subject areas, making it self-sufficient for the reader. It will be a valuable resource to graduate and advance undergraduate students for interdisciplinary research in the area of mathematics and population dynamics.
Authors and Affiliations
About the authors
Arnaud Ducrot is professor of mathematics at the University Le Havre Normandie, France. His research interests include analysis, dynamical systems and mathematical aspects of population dynamics and the natural sciences.
Quentin Griette is an associate professor in mathematics at the University of Bordeaux, France. His areas of expertise include ordinary differential equations, reaction-diffusion systems and the numerical computation of their solutions.
Zhihua Liu is a professor of mathematics at Beijing Normal University, China. Her research interests include differential equations, dynamical systems and applications in epidemics and population dynamics.
Pierre Magal is professor of mathematics at the University of Bordeaux, France. His research interests include differential equations, dynamical systems, numerical simulations and mathematical biology.
Bibliographic Information
Book Title: Differential Equations and Population Dynamics I
Book Subtitle: Introductory Approaches
Authors: Arnaud Ducrot, Quentin Griette, Zhihua Liu, Pierre Magal
Series Title: Lecture Notes on Mathematical Modelling in the Life Sciences
DOI: https://doi.org/10.1007/978-3-030-98136-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Softcover ISBN: 978-3-030-98135-8Published: 21 June 2022
eBook ISBN: 978-3-030-98136-5Published: 20 June 2022
Series ISSN: 2193-4789
Series E-ISSN: 2193-4797
Edition Number: 1
Number of Pages: XX, 458
Topics: Applications of Mathematics, Analysis, Epidemiology, Mathematical Modeling and Industrial Mathematics