Partial Differential Equations in Ecology
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...
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| Format: | Online |
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| Jezik: | engleski |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Online pristup: | ONIX_20210501_9783036502960_227 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-68481 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-684812024-03-28T03:32:21Z Partial Differential Equations in Ecology Petrovskii, Sergei 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science 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. 2021-05-01T15:11:04Z 2021-05-01T15:11:04Z 2021 book ONIX_20210501_9783036502960_227 9783036502960 9783036502977 https://directory.doabooks.org/handle/20.500.12854/68481 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/3501 https://mdpi.com/books/pdfview/book/3501 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-0365-0297-7 10.3390/books978-3-0365-0297-7 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783036502960 9783036502977 238 Basel, Switzerland open access |
| spellingShingle | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science Partial Differential Equations in Ecology |
| title | Partial Differential Equations in Ecology |
| title_full | Partial Differential Equations in Ecology |
| title_fullStr | Partial Differential Equations in Ecology |
| title_full_unstemmed | Partial Differential Equations in Ecology |
| title_short | Partial Differential Equations in Ecology |
| title_sort | partial differential equations in ecology |
| topic | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| topic_facet | 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 thema EDItEUR::G Reference, Information and Interdisciplinary subjects::GP Research and information: general thema EDItEUR::P Mathematics and Science |
| url | ONIX_20210501_9783036502960_227 |