Lotka-Volterra and Related Systems : : Recent Developments in Population Dynamics / / ed. by Shair Ahmad, Ivanka M. Stamova.

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...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
HerausgeberIn:
MitwirkendeR:
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2013]
©2013
Year of Publication:2013
Language:English
Series:De Gruyter Series in Mathematics and Life Sciences , 2
Online Access:
Physical Description:1 online resource (236 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110269840
lccn 2012051182
ctrlnum (DE-B1597)173852
(OCoLC)851970552
collection bib_alma
record_format marc
spelling Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics / ed. by Shair Ahmad, Ivanka M. Stamova.
Berlin ; Boston : De Gruyter, [2013]
©2013
1 online resource (236 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Series in Mathematics and Life Sciences , 2195-5530 ; 2
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
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
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.
Issued also in print.
Mode of access: Internet via World Wide Web.
In English.
Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)
Lotka-Volterra equations.
Population biology Mathematical models.
Lotka-Volterra-System.
Populationsdynamik.
MATHEMATICS / Applied. bisacsh
Lotka-Volterra System.
Population Dynamics.
Ahmad, Shair, editor. edt http://id.loc.gov/vocabulary/relators/edt
Hou, Zhanyuan, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Lisena, Benedetta, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Pireddu, Marina, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Stamova, Ivanka M., editor. edt http://id.loc.gov/vocabulary/relators/edt
Zanolin, Fabio, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013 9783110317350 ZDB-23-DGG
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013 9783110317282 ZDB-23-DMI
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013 9783110317275 ZDB-23-DMP
print 9783110269512
https://doi.org/10.1515/9783110269840
https://www.degruyter.com/isbn/9783110269840
Cover https://www.degruyter.com/document/cover/isbn/9783110269840/original
language English
format eBook
author2 Ahmad, Shair,
Ahmad, Shair,
Hou, Zhanyuan,
Hou, Zhanyuan,
Lisena, Benedetta,
Lisena, Benedetta,
Pireddu, Marina,
Pireddu, Marina,
Stamova, Ivanka M.,
Stamova, Ivanka M.,
Zanolin, Fabio,
Zanolin, Fabio,
author_facet Ahmad, Shair,
Ahmad, Shair,
Hou, Zhanyuan,
Hou, Zhanyuan,
Lisena, Benedetta,
Lisena, Benedetta,
Pireddu, Marina,
Pireddu, Marina,
Stamova, Ivanka M.,
Stamova, Ivanka M.,
Zanolin, Fabio,
Zanolin, Fabio,
author2_variant s a sa
s a sa
z h zh
z h zh
b l bl
b l bl
m p mp
m p mp
i m s im ims
i m s im ims
f z fz
f z fz
author2_role HerausgeberIn
HerausgeberIn
MitwirkendeR
MitwirkendeR
MitwirkendeR
MitwirkendeR
MitwirkendeR
MitwirkendeR
HerausgeberIn
HerausgeberIn
MitwirkendeR
MitwirkendeR
author_sort Ahmad, Shair,
title Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics /
spellingShingle Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics /
De Gruyter Series in Mathematics and Life Sciences ,
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
title_sub Recent Developments in Population Dynamics /
title_full Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics / ed. by Shair Ahmad, Ivanka M. Stamova.
title_fullStr Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics / ed. by Shair Ahmad, Ivanka M. Stamova.
title_full_unstemmed Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics / ed. by Shair Ahmad, Ivanka M. Stamova.
title_auth Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics /
title_alt 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
title_new Lotka-Volterra and Related Systems :
title_sort lotka-volterra and related systems : recent developments in population dynamics /
series De Gruyter Series in Mathematics and Life Sciences ,
series2 De Gruyter Series in Mathematics and Life Sciences ,
publisher De Gruyter,
publishDate 2013
physical 1 online resource (236 p.)
Issued also in print.
contents 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
isbn 9783110269840
9783110238570
9783110238471
9783110637205
9783110317350
9783110317282
9783110317275
9783110269512
issn 2195-5530 ;
callnumber-first Q - Science
callnumber-subject QH - Natural History and Biology
callnumber-label QH352
callnumber-sort QH 3352 L67 42013
url https://doi.org/10.1515/9783110269840
https://www.degruyter.com/isbn/9783110269840
https://www.degruyter.com/document/cover/isbn/9783110269840/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 570 - Life sciences; biology
dewey-ones 577 - Ecology
dewey-full 577.88
dewey-sort 3577.8 18
dewey-raw 577.8 8
dewey-search 577.8 8
doi_str_mv 10.1515/9783110269840
oclc_num 851970552
work_keys_str_mv AT ahmadshair lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
AT houzhanyuan lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
AT lisenabenedetta lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
AT pireddumarina lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
AT stamovaivankam lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
AT zanolinfabio lotkavolterraandrelatedsystemsrecentdevelopmentsinpopulationdynamics
status_str n
ids_txt_mv (DE-B1597)173852
(OCoLC)851970552
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013
Title is part of eBook package: De Gruyter E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013
Title is part of eBook package: De Gruyter E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013
is_hierarchy_title Lotka-Volterra and Related Systems : Recent Developments in Population Dynamics /
container_title Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
author2_original_writing_str_mv noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
noLinkedField
_version_ 1806144286116282368
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05729nam a22009735i 4500</leader><controlfield tag="001">9783110269840</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228123812.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20132013gw fo d z eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a">2012051182</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)853237196</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110269840</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110269840</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)173852</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)851970552</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="050" ind1="0" ind2="0"><subfield code="a">QH352</subfield><subfield code="b">.L67 2013</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QH352</subfield><subfield code="b">.L67 2013eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT003000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">577.8 8</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="q">SEPA</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143244:</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Lotka-Volterra and Related Systems :</subfield><subfield code="b">Recent Developments in Population Dynamics /</subfield><subfield code="c">ed. by Shair Ahmad, Ivanka M. Stamova.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2013]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2013</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (236 p.)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Series in Mathematics and Life Sciences ,</subfield><subfield code="x">2195-5530 ;</subfield><subfield code="v">2</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Permanence, global attraction and stability -- </subfield><subfield code="t">Competitive Lotka–Volterra systems with periodic coefficients -- </subfield><subfield code="t">Fixed points, periodic points and chaotic dynamics for continuous maps with applications to population dynamics -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Lotka-Volterra equations.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Population biology</subfield><subfield code="x">Mathematical models.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lotka-Volterra-System.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Populationsdynamik.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Applied.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Lotka-Volterra System.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Population Dynamics.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ahmad, Shair, </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Hou, Zhanyuan, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Lisena, Benedetta, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Pireddu, Marina, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Stamova, Ivanka M., </subfield><subfield code="e">editor.</subfield><subfield code="4">edt</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/edt</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Zanolin, Fabio, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="z">9783110238570</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="z">9783110238471</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 2000 - 2014</subfield><subfield code="z">9783110637205</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK GESAMTPAKET / COMPLETE PACKAGE 2013</subfield><subfield code="z">9783110317350</subfield><subfield code="o">ZDB-23-DGG</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK PACKAGE MATHEMATICS, PHYSICS, ENGINEERING 2013</subfield><subfield code="z">9783110317282</subfield><subfield code="o">ZDB-23-DMI</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-BOOK PAKET MATHEMATIK, PHYSIK, INGENIEURWISS. 2013</subfield><subfield code="z">9783110317275</subfield><subfield code="o">ZDB-23-DMP</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110269512</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110269840</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110269840</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110269840/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023847-1 DGBA Backlist Mathematics 2000-2014 (EN)</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-023857-0 DGBA Backlist Complete English Language 2000-2014 PART1</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DGG</subfield><subfield code="b">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMI</subfield><subfield code="b">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMP</subfield><subfield code="b">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">2000</subfield><subfield code="d">2014</subfield></datafield></record></collection>