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  • 1
    Online Resource
    Online Resource
    Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics (2013)
    Berlin ; : De Gruyter,
    Details
    UID:
    almahu_9949462111702882
    Format: 1 online resource (236 p.)
    ISBN: 9783110269840 , 9783110238570
    Series Statement: De Gruyter Series in Mathematics and Life Sciences , 2
    Content: In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.
    Note: Frontmatter -- , Preface -- , Contents -- , Permanence, global attraction and stability -- , Competitive Lotka-Volterra systems with periodic coefficients -- , Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics -- , Index , Issued also in print. , Mode of access: Internet via World Wide Web. , In English.
    In: DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
    In: DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
    In: DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
    In: E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013, De Gruyter, 9783110317350
    In: E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013, De Gruyter, 9783110317282
    In: E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013, De Gruyter, 9783110317275
    Additional Edition: ISBN 9783110269512
    Language: English
    Subjects: Mathematics
    RVK:
    SK 520
    DOI: 10.1515/9783110269840
    URL: https://doi.org/10.1515/9783110269840
    URL: https://www.degruyter.com/isbn/9783110269840
    URL: Cover
    URL: Volltext
    URL: Volltext  (lizenzpflichtig)
    URL: lizenzpflichtig
    URL: Cover
    URL: Inhaltstext
    URL: Cover
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  • 2
    Book
    Book
    Lotka-Volterra and related systems : recent developments in population dynamics (2013)
    Berlin [u.a.] :de Gruyter,
    Details
    UID:
    almahu_BV041456508
    Format: VIII, 236 S. : , Ill., graph. Darst.
    ISBN: 978-3-11-026951-2
    Series Statement: De Gruyter Series in Mathematics and Life Sciences 2
    Note: Includes bibliographical references and index
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-11-026984-0
    Language: English
    Subjects: Mathematics
    RVK:
    SK 520
    URL: Inhaltsverzeichnis
    URL: http://deposit.d-nb.de/cgi-bin/dokserv?id=4240914&prov=M&dok_var=1&dok_ext=htm
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  • 3
    Online Resource
    Online Resource
    Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics (2013)
    Berlin/Boston :De Gruyter,
    Details
    UID:
    edocfu_9958353932002883
    Format: 1 online resource(viii,236p.) : , illustrations.
    Edition: Electronic reproduction. Berlin/Boston : De Gruyter. Mode of access: World Wide Web.
    Edition: System requirements: Web browser.
    Edition: Access may be restricted to users at subscribing institutions.
    ISBN: 9783110269840
    Series Statement: De Gruyter Series in Mathematics and Life Sciences; 2
    Content: This book facilitates research in the general area of population dynamics by presenting some of the recent developments involving theories, methods and application in this important area of research. The underlying common feature of the studies included in the book is that they are related, either directly or indirectly, to the well-known Lotka-Volterra systems which offer a variety of mathematical concepts from both theoretical and application points of view.
    Note: Frontmatter -- , Preface -- , Contents -- , Permanence, global attraction and stability / , Competitive Lotka–Volterra systems with periodic coefficients / , Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics / , Index. , Also available in print edition. , In English.
    Additional Edition: ISBN 9783110269512
    Additional Edition: ISBN 9783110269857
    Language: English
    DOI: 10.1515/9783110269840
    URL: https://doi.org/10.1515/9783110269840
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Open Access Request
    FU Berlin
  • 4
    Online Resource
    Online Resource
    Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics (2013)
    Details
    UID:
    almahu_9947359999202882
    Format: Online-Ressource (VIII, 236 S.)
    ISBN: 9783110269512 (print)
    Series Statement: De Gruyter Series in Mathematics and Life Sciences 2
    Content: Biographical note: Z.Hou, London Met. Univ.; B.Lisena, UniBa, Bari; Z.Teng, Xinjiang Univ., Urumqi; F.Zanolin, UniUd, Udine.
    Content: Main description: This book facilitates research in the general area of population dynamics by presenting some of the recent developments involving theories, methods and application in this important area of research. The underlying common feature of the studies included in the book is that they are related, either directly or indirectly, to the well-known Lotka-Volterra systems which offer a variety of mathematical concepts from both theoretical and application points of view.
    Content: This book facilitates research in the general area of population dynamics by presenting some of the recent developments involving theories, methods and application in this important area of research. The underlying common feature of the studies included in the book is that they are related, either directly or indirectly, to the well-known Lotka-Volterra systems which offer a variety of mathematical concepts from both theoretical and application points of view
    Note: Description based upon print version of record , 11 Examples from the ODEs12 Predator-prey model; 12.1 The effects of a periodic harvesting; 12.2 Technical details and proofs; Bibliography; Index. , 11 Global stability of competitive Lotka-Volterra systems12 Global attraction of competitive Lotka-Volterra systems; 13 Some notes; Bibliography; Competitive Lotka-Volterra systems with periodic coefficients; 1 Introduction; 2 The autonomous model. The logistic equation; 3 Two species periodic models; 4 Competitive exclusion; 5 One species extinction in three-dimensional models; 6 The impulsive logistic equation; 7 Two species systems with impulsive effects. A look at the N-dimensional case; 8 The influence of impulsive perturbations on extinction in three-species models; Bibliography. , Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics1 Introduction; 2 Notation; 3 Search of fixed points for maps expansive along one direction; 4 The planar case; 4.1 Stretching along the paths and variants; 4.2 The Crossing Lemma; 5 The N-dimensional setting: Intersection Lemma; 5.1 Zero-sets of maps depending on parameters; 5.2 Stretching along the paths in the N-dimensional case; 6 Chaotic dynamics for continuous maps; 7 Definitions and main results; 8 Symbolic dynamics; 9 On various notions of chaos; 10 Linked twist maps. , Preface; Permanence, global attraction and stability; 1 Introduction; 2 Existence of a compact uniform attractor; 3 Proof of Theorems 2.1, 2.2 and 2.3; 4 Partial permanence and permanence; 5 Necessary conditions for permanence of Lotka-Volterra systems; 6 Sufficient condition for permanence of Lotka-Volterra systems; 7 Further notes; 8 Global attraction and stability of Lotka-Volterra systems; 9 Global stability by Lyapunov functions; 10 Global stability by split Lyapunov functions; 10.1 Checking the conditions (10.2) and (10.8); 10.2 Examples.
    Additional Edition: ISBN 9783110269840
    Additional Edition: ISBN 9783110269857
    Language: English
    Keywords: Electronic books
    DOI: 10.1515/9783110269840
    URL: http://dx.doi.org/10.1515/9783110269840
    URL: http://www.degruyter.com/search?f_0=isbnissn&q_0=9783110269840&searchTitles=true
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    Online Resource
    Open Access Request
    HU Berlin
  • 5
    Online Resource
    Online Resource
    Lotka-Volterra and related systems : recent developments in population dynamics (2013)
    Berlin ; : De Gruyter,
    Details
    UID:
    edocfu_9959233289202883
    Format: 1 online resource (244 p.)
    Edition: 1st ed.
    ISBN: 3-11-026984-8
    Series Statement: De Gruyter series in mathematics and life sciences, v. 2
    Content: In recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research.
    Note: Description based upon print version of record. , Frontmatter -- , Preface -- , Contents -- , Permanence, global attraction and stability / , Competitive Lotka-Volterra systems with periodic coefficients / , Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics / , Index , Issued also in print. , English
    Additional Edition: ISBN 3-11-026951-1
    Additional Edition: ISBN 1-299-72417-5
    Language: English
    Subjects: Mathematics
    RVK:
    SK 520
    DOI: 10.1515/9783110269840
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Online Resource
    Open Access Request
    FU Berlin
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