Mimmo Iannelli, Fabio Milner

The Basic Approach to Age-Structured Population Dynamics (eBook, PDF)

Models, Methods and Numerics

• Format: PDF

Produktbeschreibung

Presents basic approaches to using age structure in mathematical biology models

Extends the theory of age-structured modeling to the spread of diseases and epidemics

Pays careful attention to mathematical rigor in demographical and epidemiological contexts

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 350
• Erscheinungstermin: 27. August 2017
• Englisch
• ISBN-13: 9789402411461
• Artikelnr.: 53061906

Autorenporträt

Mimmo Iannelli obtained his Laurea degree at the Istituto per le Applicazioni del Calcolo, Italy, in 1968. He was Full Professor at the University of Rome from 1976 to 1978. He then moved to the University of Trento, where he currently holds the title of Senior Professor. His research focuses on evolution equations and the analysis of mathematical methods in population theory. He has authored various publications on evolution equations and mathematical models of ecology and epidemiology, including three books.

Fabio Milner obtained the degree of Licenciado en Ciencias Matemáticas in Argentina in 1976 before moving to the USA in 1978. He obtained his PhD in Numerical Analysis in 1983 from the University of Chicago and joined the faculty of Purdue University immediately thereafter. He left Purdue in 2008 as Full Professor when he joined Arizona State University as Director of Mathematics for STEM Education. He shifted the focus of his research to mathematical biology after meeting Mimmo Iannelli in 1997. Milner is the author of numerous scientific publications, including 14 articles and one book that were co-authored by Mimmo Iannelli.

Inhaltsangabe

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.