{"product_id":"introduction-to-reaction-diffusion-equations-king-yeung-lam-9783031204210","title":"Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology","description":"\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 \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e King-Yeung Lam, Yuan Lou\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3031204212\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783031204210\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/02\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 312\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.02lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.69d","brand":"King-Yeung Lam","offers":[{"title":"Paperback","offer_id":44130513486079,"sku":"9783031204210","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_fd4dcc13-5e4c-49ec-aa7f-6ebb75c3e621.jpg?v=1687469774","url":"https:\/\/www.whiterainbookhouse.com\/products\/introduction-to-reaction-diffusion-equations-king-yeung-lam-9783031204210","provider":"WR Book House","version":"1.0","type":"link"}