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001 978-3-319-65467-6
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008 170918s2017 gw | s |||| 0|eng d
020 _a9783319654676
_9978-3-319-65467-6
024 7 _a10.1007/978-3-319-65467-6
_2doi
040 _aISI Library, Kolkata
050 4 _aQH323.5
050 4 _aQH324.2-324.25
072 7 _aPDE
_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPDE
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082 0 4 _a570.285
_223
100 1 _aCherniha, Roman.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aNonlinear Reaction-Diffusion Systems
_h[electronic resource] :
_bConditional Symmetry, Exact Solutions and their Applications in Biology /
_cby Roman Cherniha, Vasyl' Davydovych.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXIII, 160 p. 13 illus., 10 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2196
505 0 _a1 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 _aThis 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 _aDifferential equations, partial.
650 1 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aMathematical Physics.
_0http://scigraph.springernature.com/things/product-market-codes/M35000
700 1 _aDavydovych, Vasyl'.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319654652
776 0 8 _iPrinted edition:
_z9783319654669
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2196
856 4 0 _uhttps://doi.org/10.1007/978-3-319-65467-6
912 _aZDB-2-SMA
912 _aZDB-2-LNM
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427388
_d427388