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The basic approach to age-structured population dynamics. Models, methods and numerics. (English) Zbl 1403.92005
Lecture Notes on Mathematical Modelling in the Life Sciences. Dordrecht: Springer (ISBN 978-94-024-1145-4/pbk; 978-94-024-1146-1/ebook). xii, 350 p. (2017).
Publisher’s description: This book provides an introduction to age-structured population modeling which emphasises the connection between mathematical theory and underlying biological assumptions.
Through the rigorous development of the linear theory and the nonlinear theory alongside numerics, the authors explore classical equations that describe the dynamics of certain ecological systems. Modeling aspects are discussed to show how relevant problems in the fields of demography, ecology, and epidemiology can be formulated and treated within the theory. In particular, the book presents extensions of age-structured modelling to the spread of diseases and epidemics while also addressing the issue of regularity of solutions, the asymptotic behaviour of solutions, and numerical approximation. With sections on transmission models, non-autonomous models and global dynamics, this book fills a gap in the literature on theoretical population dynamics.
The book will appeal to graduate students and researchers in mathematical biology, epidemiology and demography who are interested in the systematic presentation of relevant models and mathematical methods.

MSC:
92-02 Research exposition (monographs, survey articles) pertaining to biology
92D25 Population dynamics (general)
91D20 Mathematical geography and demography
92D30 Epidemiology
65Z99 Applications to the sciences
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