
Metasolutions of Parabolic Equations in Population Dynamics
Julian Lopez-Gomez(Author)
Chapman & Hall/CRC (Publisher)
1st Edition
Published on 19. September 2019
Book
Paperback/Softback
358 pages
978-0-367-37731-1 (ISBN)
Description
Analyze Global Nonlinear Problems Using Metasolutions
Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the latest developments in the theory of nonlinear parabolic problems.
The book reveals how to mathematically determine if a species maintains, dwindles, or increases under certain circumstances. It explains how to predict the time evolution of species inhabiting regions governed by either logistic growth or exponential growth. The book studies the possibility that the species grows according to the Malthus law while it simultaneously inherits a limited growth in other regions.
The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems. Each chapter presents the mathematical formulation of the problem, the most important mathematical results available, and proofs of theorems where relevant.
Metasolutions of Parabolic Equations in Population Dynamics explores the dynamics of a generalized prototype of semilinear parabolic logistic problem. Highlighting the author's advanced work in the field, it covers the latest developments in the theory of nonlinear parabolic problems.
The book reveals how to mathematically determine if a species maintains, dwindles, or increases under certain circumstances. It explains how to predict the time evolution of species inhabiting regions governed by either logistic growth or exponential growth. The book studies the possibility that the species grows according to the Malthus law while it simultaneously inherits a limited growth in other regions.
The first part of the book introduces large solutions and metasolutions in the context of population dynamics. In a self-contained way, the second part analyzes a series of very sharp optimal uniqueness results found by the author and his colleagues. The last part reinforces the evidence that metasolutions are also categorical imperatives to describe the dynamics of huge classes of spatially heterogeneous semilinear parabolic problems. Each chapter presents the mathematical formulation of the problem, the most important mathematical results available, and proofs of theorems where relevant.
More details
Language
English
Place of publication
Oxford
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Professional Practice & Development
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 234 mm
Width: 152 mm
Thickness: 20 mm
Weight
544 gr
ISBN-13
978-0-367-37731-1 (9780367377311)
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Schweitzer Classification
Other editions
Additional editions

Julian Lopez-Gomez
Metasolutions of Parabolic Equations in Population Dynamics
E-Book
10/2015
Chapman & Hall/CRC
€89.99
Available for download

Julian Lopez-Gomez
Metasolutions of Parabolic Equations in Population Dynamics
E-Book
10/2015
Chapman and Hall
€89.99
Available for download

Julian Lopez-Gomez
Metasolutions of Parabolic Equations in Population Dynamics
Book
10/2015
1st Edition
Chapman & Hall/CRC
€260.50
Article not available for order
Person
Julian Lopez-Gomez, PhD, is a professor in the Department of Applied Mathematics at Universidad Complutense de Madrid, Spain. His research interests include spectral theory of linear operators, theoretical population dynamics in spatial ecology, and nonlinear differential equations and infinite-dimensional nonlinear analysis.
Content
Existence of Large Solutions and Metasolutions. Dynamics. Uniqueness of the Large Solution. Metasolutions Do Arise Everywhere. Bibliography. Index.