TY - BOOK ID - 135119459 TI - Partial Differential Equations in Ecology : 80 Years and Counting PY - 2021 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - cross diffusion KW - Turing patterns KW - non-constant positive solution KW - animal movement KW - correlated random walk KW - movement ecology KW - population dynamics KW - taxis KW - telegrapher’s equation KW - invasive species KW - linear determinacy KW - population growth KW - mutation KW - spreading speeds KW - travelling waves KW - optimal control KW - partial differential equation KW - invasive species in a river KW - continuum models KW - partial differential equations KW - individual based models KW - plant populations KW - phenotypic plasticity KW - vegetation pattern formation KW - desertification KW - homoclinic snaking KW - front instabilities KW - Evolutionary dynamics KW - G-function KW - Quorum Sensing KW - Public Goods KW - semi-linear parabolic system of equations KW - generalist predator KW - pattern formation KW - Turing instability KW - Turing-Hopf bifurcation KW - bistability KW - regime shift KW - carrying capacity KW - spatial heterogeneity KW - Pearl-Verhulst logistic model KW - reaction-diffusion model KW - energy constraints KW - total realized asymptotic population abundance KW - chemostat model KW - social dynamics KW - wave of protests KW - long transients KW - ghost attractor KW - prey–predator KW - diffusion KW - nonlocal interaction KW - spatiotemporal pattern KW - Allen–Cahn model KW - Cahn–Hilliard model KW - spatial patterns KW - spatial fluctuation KW - dynamic behaviors KW - reaction-diffusion KW - spatial ecology KW - stage structure KW - dispersal UR - https://www.unicat.be/uniCat?func=search&query=sysid:135119459 AB - 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. ER -