{"product_id":"introduction-to-reaction-diffusion-equations-von-king-yeung-lam-und-yuan-lou","title":"Introduction to Reaction-Diffusion Equations","description":"\n                \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\n                \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\n                \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\n                \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\n                \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\n                \u003cp\u003e \u003c\/p\u003e\n                \u003cp\u003e \u003c\/p\u003e\n                \u003cp\u003e \u003c\/p\u003e\n                \u003cp\u003e \u003c\/p\u003e\n                \u003cp\u003e \u003c\/p\u003e\n                \u003cp\u003e  \u003c\/p\u003e\n\n\u003cp\u003e \u003c\/p\u003e\n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783031204210\"\u003e\u003ch3\u003eTheory and Applications to Spatial Ecology and Evolutionary Biology\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783031204210","offer_id":40765063364701,"sku":"9783031204210","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/04f0b1d4-5774-432c-9ad3-f58eff16a691.jpg?v=1779855553","url":"https:\/\/shop.autorenwelt.de\/products\/introduction-to-reaction-diffusion-equations-von-king-yeung-lam-und-yuan-lou","provider":"Autorenwelt Shop","version":"1.0","type":"link"}