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Author : Henri Berestycki,Grégoire Nadin
Publisher : American Mathematical Society
Page : 282 pages
File Size : 43,9 Mb
Release : 2022-11-10
Category : Mathematics
ISBN : 9781470454296
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Author : King-Yeung Lam,Yuan Lou
Publisher : Springer Nature
Page : 316 pages
File Size : 50,7 Mb
Release : 2022-12-01
Category : Mathematics
ISBN : 9783031204227
This 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.
Author : Nassif Ghoussoub,Saikat Mazumdar,Frédéric Robert
Publisher : American Mathematical Society
Page : 138 pages
File Size : 46,8 Mb
Release : 2023-05-23
Category : Mathematics
ISBN : 9781470461195
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Author : Mohandas Pillai
Publisher : American Mathematical Society
Page : 254 pages
File Size : 45,9 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470459932
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Author : Giao Ky Duong,Nejla Nouaili,Hatem Zaag
Publisher : American Mathematical Society
Page : 104 pages
File Size : 51,6 Mb
Release : 2023-05-23
Category : Mathematics
ISBN : 9781470461218
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Author : André Gil Henriques,David Penneys,James E. Tener
Publisher : American Mathematical Society
Page : 100 pages
File Size : 45,9 Mb
Release : 2023-02-13
Category : Mathematics
ISBN : 9781470455408
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Author : Philipp Grohs,Fabian Hornung,Arnulf Jentzen,Philippe von Wurstemberger
Publisher : American Mathematical Society
Page : 106 pages
File Size : 42,8 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470456320
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Author : Kihyun Kim,Soonsik Kwon
Publisher : American Mathematical Society
Page : 140 pages
File Size : 42,8 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470461201
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Author : Martin Herschend,Osamu Iyama,Hiroyuki Minamoto,Steffen Oppermann
Publisher : American Mathematical Society
Page : 156 pages
File Size : 53,6 Mb
Release : 2023-05-23
Category : Mathematics
ISBN : 9781470456313
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Author : James East,Nik Ruškuc
Publisher : American Mathematical Society
Page : 144 pages
File Size : 44,8 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470462697
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Author : Nobuhiro Honda
Publisher : American Mathematical Society
Page : 148 pages
File Size : 43,6 Mb
Release : 2023-05-23
Category : Mathematics
ISBN : 9781470464127
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Author : Narjess Afzaly,Scott Morrison,David Penneys
Publisher : American Mathematical Society
Page : 94 pages
File Size : 40,7 Mb
Release : 2023-04-07
Category : Mathematics
ISBN : 9781470447120
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Author : François Ledrappier,Lin Shu
Publisher : American Mathematical Society
Page : 164 pages
File Size : 41,5 Mb
Release : 2023-01-18
Category : Mathematics
ISBN : 9781470455422
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Author : Sebastian Casalaina-Martin,Samuel Grushevsky,Klaus Hulek,Radu Laza
Publisher : American Mathematical Society
Page : 112 pages
File Size : 49,5 Mb
Release : 2023-02-13
Category : Mathematics
ISBN : 9781470460204
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Author : Guozhen Lu,Lu Zhang,Jiawei Shen
Publisher : American Mathematical Society
Page : 100 pages
File Size : 41,5 Mb
Release : 2023-01-18
Category : Mathematics
ISBN : 9781470455378
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