{"product_id":"9783031204210","title":"Lecture Notes on Mathematical Modelling in the Life Sciences: Theory and Applications to Spatial Ecology and Evolutionary Biology","description":"\u003ch1\u003eLecture Notes on Mathematical Modelling in the Life Sciences: Theory and Applications to Spatial Ecology and Evolutionary Biology\u003c\/h1\u003e \u003ch2\u003eLam, King-Yeung; Lou, Yuan\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThis book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts.\u003c\/p\u003e\u003cp\u003eThe first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles.\u003c\/p\u003e\u003cp\u003eThe second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation.\u003c\/p\u003eThe third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionarybranching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait.\u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems.\u003c\/p\u003e\u003cp\u003eMost of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.\u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e \u003c\/p\u003e\u003cp\u003e  \u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2022-12-02\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783031204210\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-031-20422-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 312\u003c\/p\u003e ","brand":"Springer International Publishing","offers":[{"title":"Default Title","offer_id":45587090538636,"sku":"9783031204210","price":62.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031204210.jpg?v=1775817739","url":"https:\/\/lateknightbooks.com\/products\/9783031204210","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}