001451763 000__ 04500cam\a2200517\i\4500
001451763 001__ 1451763
001451763 003__ OCoLC
001451763 005__ 20230310004716.0
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001451763 019__ $$a1353101173
001451763 020__ $$a9783031204227$$q(electronic bk.)
001451763 020__ $$a3031204220$$q(electronic bk.)
001451763 020__ $$z3031204212
001451763 020__ $$z9783031204210
001451763 0247_ $$a10.1007/978-3-031-20422-7$$2doi
001451763 035__ $$aSP(OCoLC)1353790139
001451763 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dUKAHL$$dN$T$$dOCLCF
001451763 049__ $$aISEA
001451763 050_4 $$aQA377
001451763 08204 $$a515/.3534$$223/eng/20221208
001451763 1001_ $$aLam, King-Yeung,$$d1985-$$eauthor.
001451763 24510 $$aIntroduction to reaction-diffusion equations :$$btheory and applications to spatial ecology and evolutionary biology /$$cKing-Yeung Lam, Yuan Lou.
001451763 264_1 $$aCham :$$bSpringer,$$c2022.
001451763 300__ $$a1 online resource (xvi, 312 pages) :$$billustrations
001451763 336__ $$atext$$btxt$$2rdacontent
001451763 337__ $$acomputer$$bc$$2rdamedia
001451763 338__ $$aonline resource$$bcr$$2rdacarrier
001451763 4901_ $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001451763 504__ $$aIncludes bibliographical references and index.
001451763 5050_ $$aPart I Linear Theory -- 1. The Maximum Principle and the Principal Eigenvalues for Single Equations -- 2. The Principal Eigenvalue for Periodic-Parabolic Problems -- 3. The Maximum Principle and the Principal Eigenvalue for Systems -- 4. The Principal Floquet Bundle for Parabolic Equations -- Part II Ecological Dynamics -- 5. The Logistic Equation With Diffusion -- 6. Spreading in Homogeneous and Shifting Environments -- 7. The Lotka-Volterra Competition-Diffusion Systems for Two Species -- 8. Dynamics of Phytoplankton Populations -- Part III Evolutionary Dynamics -- 9. Elements of Adaptive Dynamics -- 10. Selection-Mutation Models -- Part IV Appendices -- A. The Fixed Point Index -- B. The Krein-Rutman Theorem -- C. Subhomogeneous Dynamics -- D. Existence of Connecting Orbits -- E. Abstract Competition Systems in Ordered Banach Spaces -- Index.
001451763 506__ $$aAccess limited to authorized users.
001451763 520__ $$aThis book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.
001451763 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed December 8, 2022).
001451763 650_0 $$aReaction-diffusion equations.
001451763 655_0 $$aElectronic books.
001451763 7001_ $$aLou, Yuan,$$d1968-$$eauthor.
001451763 77608 $$iPrint version:$$z3031204212$$z9783031204210$$w(OCoLC)1346350256
001451763 830_0 $$aLecture notes on mathematical modelling in the life sciences,$$x2193-4797
001451763 852__ $$bebk
001451763 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-20422-7$$zOnline Access$$91397441.1
001451763 909CO $$ooai:library.usi.edu:1451763$$pGLOBAL_SET
001451763 980__ $$aBIB
001451763 980__ $$aEBOOK
001451763 982__ $$aEbook
001451763 983__ $$aOnline
001451763 994__ $$a92$$bISE