The Basic Approach to Age-Structured Population Dynamics: Models, Methods and Numerics /

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...

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Bibliographic Details
Main Author: Iannelli, Mimmo
Other Authors: Milner, Fabio
Format: Printed Book
Published: Netherlands: Springer, 2017
Series:Lecture Notes on Mathematical Modelling in the Life Sciences,
Subjects:
Applied mathematics.
Biomathematics.
Engineering mathematics.
Integral equations.
Partial differential equations.
Genetics and Population Dynamics.
Applications of Mathematics.
Integral Equations.
Partial Differential Equations.
Table of Contents:
  • 1 Why Age Structure? An Introduction
  • 2 The Basic Linear Theory
  • 3 Numerical Methods for the Linear Model
  • 4 The Time-Dependent Case
  • 5 Nonlinear Models
  • 6 Stability of Equilibria
  • 7 Numerical Methods for the Nonlinear Model
  • 8 Global Behavior
  • 9 Class-Age Structure for Epidemics
  • 10 Epidemics and Demography
  • A The Laplace Transform
  • B Integral Equations Theory. References.

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