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Books > Medicine > General issues > Public health & preventive medicine > Epidemiology & medical statistics
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Differential Equations and Population Dynamics I - Introductory Approaches (Paperback, 1st ed. 2022)
Loot Price: R1,553
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Differential Equations and Population Dynamics I - Introductory Approaches (Paperback, 1st ed. 2022)
Series: Lecture Notes on Mathematical Modelling in the Life Sciences
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This book provides an introduction to the theory of ordinary
differential equations and its applications to population dynamics.
Part I focuses on linear systems. Beginning with some modeling
background, it considers existence, uniqueness, stability of
solution, positivity, and the Perron-Frobenius theorem and its
consequences. Part II is devoted to nonlinear systems, with
material on the semiflow property, positivity, the existence of
invariant sub-regions, the Linearized Stability Principle, the
Hartman-Grobman Theorem, and monotone semiflow. Part III opens up
new perspectives for the understanding of infectious diseases by
applying the theoretical results to COVID-19, combining data and
epidemic models. Throughout the book the material is illustrated by
numerical examples and their MATLAB codes are provided. Bridging an
interdisciplinary gap, the book will be valuable to graduate and
advanced undergraduate students studying mathematics and population
dynamics.
General
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