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cover of the book An Introduction to Mathematical Population Dynamics: Along the Trail of Volterra and Lotka

Ebook: An Introduction to Mathematical Population Dynamics: Along the Trail of Volterra and Lotka

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06.02.2024
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Featuring detailed explanations of model construction and a set of problems tackling more advanced topics, this extensive review of mathematical applications in biology ranges from population dynamics and ecology to epidemiology and molecular networks.;Cover; Title Page; Copyright Page; Preface; Acknowledgements; Table of Contents; Part I The growth of a single population; 1 Malthus, Verhulst and all that; 1.1 A look at exemplary data; 1.2 Malthus model; 1.3 First extensions of Malthus model: exogenous variability; 1.4 Endogenous variability of the habitat; 1.5 Intraspecific competition: the logistic effect; 1.6 The Allee effect; 1.7 Contest and scramble competition; 1.8 Generalist predation; 1.9 The spruce-budworm system; 1.10 Harvesting; Problems; 1.1. Fitting data; 1.2. Exogenous variability; 1.3. Intraspecific competition.
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