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Record Nr. |
UNISALENTO991003564219707536 |
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Autore |
Cherniha, Roman |
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Titolo |
Nonlinear reaction-diffusion systems [e-book] : conditional symmetry, exact solutions and their applications in biology / Roman Cherniha, Vasyl' Davydovych |
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ISBN |
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Descrizione fisica |
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1 online resource (xiii, 160 pages) : illustrations (some color) |
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Collana |
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Lecture notes in mathematics, 0075-8434 ; 2196 |
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Classificazione |
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AMS 35-02 |
AMS 17B80 |
AMS 35A30 |
AMS 92D25 |
LC QH324.2-324.25 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Reaction-diffusion equations |
Differential equations, Partial |
Biomathematics |
Mathematical physics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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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 |
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