東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Nonlinear reaction-diffusion systems...

Cherniha, Roman.

Linked to FindBook

Google Book

Amazon

博客來

Nonlinear reaction-diffusion systems = conditional symmetry, exact solutions and their applications in biology /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Nonlinear reaction-diffusion systems/ by Roman Cherniha, Vasyl' Davydovych.
Reminder of title:	conditional symmetry, exact solutions and their applications in biology /
Author:	Cherniha, Roman.
other author:	Davydovych, Vasyl'.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xiii, 160 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications -- 2 Q-conditional symmetries of reaction-diffusion systems -- 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems -- 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems -- A List of reaction-diffusion systems and exact solutions -- Index.
Contained By:	Springer eBooks
Subject:	Reaction-diffusion equations. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65467-6
ISBN:	9783319654676

Nonlinear reaction-diffusion systems = conditional symmetry, exact solutions and their applications in biology /
Cherniha, Roman.

Nonlinear reaction-diffusion systemsconditional symmetry, exact solutions and their applications in biology /[electronic resource] :by Roman Cherniha, Vasyl' Davydovych. - Cham :Springer International Publishing :2017. - xiii, 160 p. :ill. (some col.), digital ;24 cm. - Lecture notes in mathematics,21960075-8434 ;. - Lecture notes in mathematics ;2196..

1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications -- 2 Q-conditional symmetries of reaction-diffusion systems -- 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems -- 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems -- A List of reaction-diffusion systems and exact solutions -- Index.

This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master's level mathematical biology courses.

ISBN: 9783319654676

Standard No.: 10.1007/978-3-319-65467-6doiSubjects--Topical Terms:

704468
Reaction-diffusion equations.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Nonlinear reaction-diffusion systems = conditional symmetry, exact solutions and their applications in biology /
LDR:02614nmm a2200325 a 4500 001 2109136
003 DE-He213
005 20180327163758.0
006 m d
007 cr nn 008maaau
008 180519s2017 gw s 0 eng d
020 $a 9783319654676 $q (electronic bk.)
020 $a 9783319654652 $q (paper)
024 7 $a 10.1007/978-3-319-65467-6 $2 doi
035 $a 978-3-319-65467-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PDE $2 bicssc
072 7 $a MAT003000 $2 bisacsh
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .C521 2017
100 1 $a Cherniha, Roman. $3 3259188
245 1 0 $a Nonlinear reaction-diffusion systems $h [electronic resource] : $b conditional symmetry, exact solutions and their applications in biology / $c by Roman Cherniha, Vasyl' Davydovych.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a xiii, 160 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2196
505 0 $a 1 Scalar reaction-diffusion equations - conditional symmetry, exact solutions and applications -- 2 Q-conditional symmetries of reaction-diffusion systems -- 3 Conditional symmetries and exact solutions of diffusive Lotka-Volterra systems -- 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems -- A List of reaction-diffusion systems and exact solutions -- Index.
520 $a This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master's level mathematical biology courses.
650 0 $a Reaction-diffusion equations. $3 704468
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Mathematical and Computational Biology. $3 1566274
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Mathematical Physics. $3 1542352
700 1 $a Davydovych, Vasyl'. $3 3259189
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in mathematics ; $v 2196. $3 3259190
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65467-6
950 $a Mathematics and Statistics (Springer-11649)