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...
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Year of Publication: | 2021 |
Language: | English |
Physical Description: | 1 electronic resource (238 p.) |
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100 | 1 | |a Petrovskii, Sergei |4 edt | |
245 | 1 | 0 | |a Partial Differential Equations in Ecology |b 80 Years and Counting |
246 | |a Partial Differential Equations in Ecology | ||
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520 | |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. | ||
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653 | |a Turing patterns | ||
653 | |a non-constant positive solution | ||
653 | |a animal movement | ||
653 | |a correlated random walk | ||
653 | |a movement ecology | ||
653 | |a population dynamics | ||
653 | |a taxis | ||
653 | |a telegrapher’s equation | ||
653 | |a invasive species | ||
653 | |a linear determinacy | ||
653 | |a population growth | ||
653 | |a mutation | ||
653 | |a spreading speeds | ||
653 | |a travelling waves | ||
653 | |a optimal control | ||
653 | |a partial differential equation | ||
653 | |a invasive species in a river | ||
653 | |a continuum models | ||
653 | |a partial differential equations | ||
653 | |a individual based models | ||
653 | |a plant populations | ||
653 | |a phenotypic plasticity | ||
653 | |a vegetation pattern formation | ||
653 | |a desertification | ||
653 | |a homoclinic snaking | ||
653 | |a front instabilities | ||
653 | |a Evolutionary dynamics | ||
653 | |a G-function | ||
653 | |a Quorum Sensing | ||
653 | |a Public Goods | ||
653 | |a semi-linear parabolic system of equations | ||
653 | |a generalist predator | ||
653 | |a pattern formation | ||
653 | |a Turing instability | ||
653 | |a Turing-Hopf bifurcation | ||
653 | |a bistability | ||
653 | |a regime shift | ||
653 | |a carrying capacity | ||
653 | |a spatial heterogeneity | ||
653 | |a Pearl-Verhulst logistic model | ||
653 | |a reaction-diffusion model | ||
653 | |a energy constraints | ||
653 | |a total realized asymptotic population abundance | ||
653 | |a chemostat model | ||
653 | |a social dynamics | ||
653 | |a wave of protests | ||
653 | |a long transients | ||
653 | |a ghost attractor | ||
653 | |a prey–predator | ||
653 | |a diffusion | ||
653 | |a nonlocal interaction | ||
653 | |a spatiotemporal pattern | ||
653 | |a Allen–Cahn model | ||
653 | |a Cahn–Hilliard model | ||
653 | |a spatial patterns | ||
653 | |a spatial fluctuation | ||
653 | |a dynamic behaviors | ||
653 | |a reaction-diffusion | ||
653 | |a spatial ecology | ||
653 | |a stage structure | ||
653 | |a dispersal | ||
776 | |z 3-0365-0296-3 | ||
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700 | 1 | |a Petrovskii, Sergei |4 oth | |
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