01081nam a22003135i 4500991002217149707536cr nn 008mamaa121227s2000 de | s |||| 0|eng d9783540400080b14139522-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng512.6623AMS 13-02AMS 13C15AMS 13H10Christensen, Lars Winther63027Gorenstein dimensions[e-book] /by Lars Winther ChristensenBerlin :Springer,20001 online resource (xiii, 204 p.)Lecture Notes in Mathematics,0075-8434 ;1747MathematicsK-theorySpringer eBookshttp://dx.doi.org/10.1007/BFb0103980An electronic book accessible through the World Wide Web.b1413952203-03-2205-09-13991002217149707536Gorenstein dimensions262658UNISALENTOle01305-09-13m@ -engde 0003751nam 2200673 a 450 991077986550332120230803021058.03-11-026984-810.1515/9783110269840(CKB)2550000001097134(EBL)1121628(OCoLC)851970552(SSID)ssj0000916950(PQKBManifestationID)11493463(PQKBTitleCode)TC0000916950(PQKBWorkID)10891298(PQKB)10393131(MiAaPQ)EBC1121628(DE-B1597)173852(OCoLC)853237196(DE-B1597)9783110269840(Au-PeEL)EBL1121628(CaPaEBR)ebr10729091(CaONFJC)MIL503668(EXLCZ)99255000000109713420130104d2013 uy 0engur|n|---|||||txtccrLotka-Volterra and related systems[electronic resource] recent developments in population dynamics /edited by Shair Ahmad, Ivanka M. StamovaBerlin ;Boston De Gruyterc20131 online resource (244 p.)De Gruyter series in mathematics and life sciences,2195-5530 ;v. 2Description based upon print version of record.3-11-026951-1 1-299-72417-5 Includes bibliographical references and index. Frontmatter -- Preface -- Contents -- Permanence, global attraction and stability / Hou, Zhanyuan -- Competitive Lotka-Volterra systems with periodic coefficients / Lisena, Benedetta -- Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics / Pireddu, Marina / Zanolin, Fabio -- IndexIn 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. De Gruyter series in mathematics and life sciences ;2.Lotka-Volterra equationsPopulation biologyMathematical modelsLotka-Volterra System.Population Dynamics.Lotka-Volterra equations.Population biologyMathematical models.577.8/8SK 520SEPArvkAhmad Shair58732Stamova Ivanka755829MiAaPQMiAaPQMiAaPQBOOK9910779865503321Lotka-Volterra and related systems3795262UNINA