Partial Differential Equations in Ecology : 80 Years and Counting
Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has e...
Saved in:
| Sonstige: | |
|---|---|
| Year of Publication: | 2021 |
| Language: | English |
| Physical Description: | 1 electronic resource (238 p.) |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
993587075404498 |
|---|---|
| ctrlnum |
(CKB)5400000000044012 (oapen)https://directory.doabooks.org/handle/20.500.12854/68481 (EXLCZ)995400000000044012 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Petrovskii, Sergei edt Partial Differential Equations in Ecology 80 Years and Counting Partial Differential Equations in Ecology Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021 1 electronic resource (238 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots. English Research & information: general bicssc Mathematics & science bicssc cross diffusion Turing patterns non-constant positive solution animal movement correlated random walk movement ecology population dynamics taxis telegrapher’s equation invasive species linear determinacy population growth mutation spreading speeds travelling waves optimal control partial differential equation invasive species in a river continuum models partial differential equations individual based models plant populations phenotypic plasticity vegetation pattern formation desertification homoclinic snaking front instabilities Evolutionary dynamics G-function Quorum Sensing Public Goods semi-linear parabolic system of equations generalist predator pattern formation Turing instability Turing-Hopf bifurcation bistability regime shift carrying capacity spatial heterogeneity Pearl-Verhulst logistic model reaction-diffusion model energy constraints total realized asymptotic population abundance chemostat model social dynamics wave of protests long transients ghost attractor prey–predator diffusion nonlocal interaction spatiotemporal pattern Allen–Cahn model Cahn–Hilliard model spatial patterns spatial fluctuation dynamic behaviors reaction-diffusion spatial ecology stage structure dispersal 3-0365-0296-3 3-0365-0297-1 Petrovskii, Sergei oth |
| language |
English |
| format |
eBook |
| author2 |
Petrovskii, Sergei |
| author_facet |
Petrovskii, Sergei |
| author2_variant |
s p sp |
| author2_role |
Sonstige |
| title |
Partial Differential Equations in Ecology 80 Years and Counting |
| spellingShingle |
Partial Differential Equations in Ecology 80 Years and Counting |
| title_sub |
80 Years and Counting |
| title_full |
Partial Differential Equations in Ecology 80 Years and Counting |
| title_fullStr |
Partial Differential Equations in Ecology 80 Years and Counting |
| title_full_unstemmed |
Partial Differential Equations in Ecology 80 Years and Counting |
| title_auth |
Partial Differential Equations in Ecology 80 Years and Counting |
| title_alt |
Partial Differential Equations in Ecology |
| title_new |
Partial Differential Equations in Ecology |
| title_sort |
partial differential equations in ecology 80 years and counting |
| publisher |
MDPI - Multidisciplinary Digital Publishing Institute |
| publishDate |
2021 |
| physical |
1 electronic resource (238 p.) |
| isbn |
3-0365-0296-3 3-0365-0297-1 |
| illustrated |
Not Illustrated |
| work_keys_str_mv |
AT petrovskiisergei partialdifferentialequationsinecology80yearsandcounting AT petrovskiisergei partialdifferentialequationsinecology |
| status_str |
n |
| ids_txt_mv |
(CKB)5400000000044012 (oapen)https://directory.doabooks.org/handle/20.500.12854/68481 (EXLCZ)995400000000044012 |
| carrierType_str_mv |
cr |
| is_hierarchy_title |
Partial Differential Equations in Ecology 80 Years and Counting |
| author2_original_writing_str_mv |
noLinkedField |
| _version_ |
1796653108588183552 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>03729nam-a2201057z--4500</leader><controlfield tag="001">993587075404498</controlfield><controlfield tag="005">20231214133056.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr|mn|---annan</controlfield><controlfield tag="008">202105s2021 xx |||||o ||| 0|eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(CKB)5400000000044012</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(oapen)https://directory.doabooks.org/handle/20.500.12854/68481</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(EXLCZ)995400000000044012</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Petrovskii, Sergei</subfield><subfield code="4">edt</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Partial Differential Equations in Ecology</subfield><subfield code="b">80 Years and Counting</subfield></datafield><datafield tag="246" ind1=" " ind2=" "><subfield code="a">Partial Differential Equations in Ecology </subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">Basel, Switzerland</subfield><subfield code="b">MDPI - Multidisciplinary Digital Publishing Institute</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 electronic resource (238 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="520" ind1=" " ind2=" "><subfield code="a">Partial differential equations (PDEs) have been used in theoretical ecology research for more than eighty years. Nowadays, along with a variety of different mathematical techniques, they remain as an efficient, widely used modelling framework; as a matter of fact, the range of PDE applications has even become broader. This volume presents a collection of case studies where applications range from bacterial systems to population dynamics of human riots.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">English</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Research & information: general</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mathematics & science</subfield><subfield code="2">bicssc</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">cross diffusion</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Turing patterns</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">non-constant positive solution</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">animal movement</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">correlated random walk</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">movement ecology</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">population dynamics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">taxis</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">telegrapher’s equation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">invasive species</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">linear determinacy</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">population growth</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">mutation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spreading speeds</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">travelling waves</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">optimal control</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">partial differential equation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">invasive species in a river</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">continuum models</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">partial differential equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">individual based models</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">plant populations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">phenotypic plasticity</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">vegetation pattern formation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">desertification</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">homoclinic snaking</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">front instabilities</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Evolutionary dynamics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">G-function</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Quorum Sensing</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Public Goods</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">semi-linear parabolic system of equations</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">generalist predator</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">pattern formation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Turing instability</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Turing-Hopf bifurcation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">bistability</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">regime shift</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">carrying capacity</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spatial heterogeneity</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Pearl-Verhulst logistic model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">reaction-diffusion model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">energy constraints</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">total realized asymptotic population abundance</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">chemostat model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">social dynamics</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">wave of protests</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">long transients</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">ghost attractor</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">prey–predator</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">diffusion</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">nonlocal interaction</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spatiotemporal pattern</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Allen–Cahn model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Cahn–Hilliard model</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spatial patterns</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spatial fluctuation</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">dynamic behaviors</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">reaction-diffusion</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">spatial ecology</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">stage structure</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">dispersal</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-0365-0296-3</subfield></datafield><datafield tag="776" ind1=" " ind2=" "><subfield code="z">3-0365-0297-1</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Petrovskii, Sergei</subfield><subfield code="4">oth</subfield></datafield><datafield tag="906" ind1=" " ind2=" "><subfield code="a">BOOK</subfield></datafield><datafield tag="ADM" ind1=" " ind2=" "><subfield code="b">2023-12-15 05:42:01 Europe/Vienna</subfield><subfield code="f">system</subfield><subfield code="c">marc21</subfield><subfield code="a">2022-04-04 09:22:53 Europe/Vienna</subfield><subfield code="g">false</subfield></datafield><datafield tag="AVE" ind1=" " ind2=" "><subfield code="i">DOAB Directory of Open Access Books</subfield><subfield code="P">DOAB Directory of Open Access Books</subfield><subfield code="x">https://eu02.alma.exlibrisgroup.com/view/uresolver/43ACC_OEAW/openurl?u.ignore_date_coverage=true&portfolio_pid=5344342410004498&Force_direct=true</subfield><subfield code="Z">5344342410004498</subfield><subfield code="b">Available</subfield><subfield code="8">5344342410004498</subfield></datafield></record></collection> |