LEADER 03675nam 2200649 a 450 001 9910452726303321 005 20200520144314.0 010 $a3-11-026984-8 024 7 $a10.1515/9783110269840 035 $a(CKB)2550000001097134 035 $a(EBL)1121628 035 $a(OCoLC)851970552 035 $a(SSID)ssj0000916950 035 $a(PQKBManifestationID)11493463 035 $a(PQKBTitleCode)TC0000916950 035 $a(PQKBWorkID)10891298 035 $a(PQKB)10393131 035 $a(MiAaPQ)EBC1121628 035 $a(DE-B1597)173852 035 $a(OCoLC)853237196 035 $a(DE-B1597)9783110269840 035 $a(Au-PeEL)EBL1121628 035 $a(CaPaEBR)ebr10729091 035 $a(CaONFJC)MIL503668 035 $a(EXLCZ)992550000001097134 100 $a20130104d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aLotka-Volterra and related systems$b[electronic resource] $erecent developments in population dynamics /$fedited by Shair Ahmad, Ivanka M. Stamova 210 $aBerlin ;$aBoston $cDe Gruyter$dc2013 215 $a1 online resource (244 p.) 225 1 $aDe Gruyter series in mathematics and life sciences,$x2195-5530 ;$vv. 2 300 $aDescription based upon print version of record. 311 $a3-11-026951-1 311 $a1-299-72417-5 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tPreface -- $tContents -- $tPermanence, global attraction and stability / $rHou, Zhanyuan -- $tCompetitive Lotka-Volterra systems with periodic coefficients / $rLisena, Benedetta -- $tFixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics / $rPireddu, Marina / Zanolin, Fabio -- $tIndex 330 $aIn recent years, there has been a tremendous amount of research activity in the general area of population dynamics, particularly the Lotka-Volterra system, which has been a rich source of mathematical ideas from both theoretical and application points of view. In spite of the technological advances, many authors seem to be unaware of the bulk of the work that has been done in this area recently. This often leads to duplication of work and frustration to the authors as well as to the editors of various journals. This book is built out of lecture notes and consists of three chapters written by four mathematicians with overlapping expertise that cover a broad sector of the research in this area. Each chapter consists of carefully written introductory exposition, main breakthroughs, open questions and bibliographies. The chapters present recent developments on topics involving the dynamic behavior of solutions and topics such as stability theory, permanence, persistence, extinction, existence of positive solutions for the Lotka-Volterra and related systems. This fills a void in the literature, by making available a source book of relevant information on the theory, methods and applications of an important area of research. 410 0$aDe Gruyter series in mathematics and life sciences ;$v2. 606 $aLotka-Volterra equations 606 $aPopulation biology$xMathematical models 608 $aElectronic books. 615 0$aLotka-Volterra equations. 615 0$aPopulation biology$xMathematical models. 676 $a577.8/8 701 $aAhmad$b Shair$058732 701 $aStamova$b Ivanka$0755829 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910452726303321 996 $aLotka-Volterra and related systems$92454261 997 $aUNINA