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This book provides an introduction to age-structured population
modeling which emphasizes 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 modeling to the spread of diseases and epidemics
while also addressing the issue of regularity of solutions, the
asymptotic behavior 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 Basic Approach to Age-Structured
Population Dynamics 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.
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