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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Detalles Bibliográficos
Otros Autores:	Petrovskii, Sergei (Editor)
Formato:	Libro electrónico
Idioma:	Inglés
Publicado:	Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
Materias:	Research & information: general Mathematics & science 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
Ver en Biblioteca Universitat Ramon Llull:	https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009720692406719