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- Startseite
Bücher Englische Bücher Introduction to Mathematical Methods in Population Theory
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Introduction to Mathematical Methods in Population Theory
Jacek Banasiak (Broschiert, Englisch)
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Beschreibung
This textbook provides an introduction to the mathematical methods used to analyse deterministic models in life sciences, including population dynamics, epidemiology and ecology. The book covers both discrete and continuous models.
The presentation emphasises the solvability of the equations appearing in the mathematical modelling of natural phenomena and, in the absence of solutions, the… analysis of their relevant properties. Of particular interest are methods that allow for determining the long-term behaviour of solutions. Thus, the book covers a range of techniques, from the classical Lyapunov theorems and positivity methods based on the Perron–Frobenius theorem, to the more modern monotone dynamical system approach. The book offers a comprehensive presentation of the Lyapunov theory, including the inverse Lyapunov theorems with applications to perturbed equations and Vidyasagar theorem. Furthermore, it provides a coherent presentation of the foundations of the theory of monotone dynamical systems with its applications to epidemiological models. Another feature of the book is the derivation of the McKendrick–von Foerster equation from the discrete Leslie model and the analysis of the long-term behaviour of its solutions.
Aimed at upper undergraduate courses and beyond, this textbook is written for students and researchers looking to master the mathematics of the tools commonly used to analyse life science models. It therefore goes somewhat deeper into mathematics than typical books at this level but should be accessible to anyone with a good command of calculus with elements of real and complex analysis and linear algebra; the necessary concepts are collected in the appendices. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
11.11.2024
Sprache
Englisch
EAN
9783031654909, 9783031654909
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Springer Undergraduate Mathematics Series
Sonderedition
Nein
Autor
Jacek Banasiak
Auflage
1
Einbandart
Broschiert
Schlagwörter
textbook on mathematical biology, textbook on mathematical epidemiology, discrete and continuous dynamical systems, direct and inverse Lyapunov theorems, nonnegative dynamical systems, cooperative dynamical systems, McKendrick-von Foerster equation, age-structured epidemiological models, Perron-Frobenius theory
Thema-Inhalt
PBW - Angewandte Mathematik
PBKJ - Differentialrechnung und -gleichungen
Höhe
235 mm
Breite
15.5 cm
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