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...
Saved in:
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> |