Description

Book Synopsis

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, t

Table of Contents

Existence of Large Solutions and Metasolutions. Dynamics. Uniqueness of the Large Solution. Metasolutions Do Arise Everywhere. Bibliography. Index.

Metasolutions of Parabolic Equations in

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    A Hardback by Julián López-Gómez

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      Book details

      Publisher Chapman & Hall/CRC
      Published 23 October 2015
      ISBN-13 9781482238983
      978-1482238983
      ISBN-10 1482238985
      Also in:
      Mathematics Differential calculus and equations

      Description

      Book Synopsis

      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, t

      Table of Contents

      Existence of Large Solutions and Metasolutions. Dynamics. Uniqueness of the Large Solution. Metasolutions Do Arise Everywhere. Bibliography. Index.

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