Partial Differential Equations in Ecology 80 Years and Counting

• Format: eBook
• Language: English
• Published: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2021
• Subjects: Allen–Cahn model; animal movement; bistability; Cahn–Hilliard model; carrying capacity; chemostat model; continuum models; correlated random walk; cross diffusion; desertification; diffusion; dispersal; dynamic behaviors; energy constraints; Evolutionary dynamics; front instabilities; G-function; generalist predator; ghost attractor; homoclinic snaking; individual based models; invasive species; invasive species in a river; linear determinacy; long transients; Mathematics and Science; movement ecology; mutation; non-constant positive solution; nonlocal interaction; optimal control; partial differential equation; partial differential equations; pattern formation; Pearl-Verhulst logistic model; phenotypic plasticity; plant populations; population dynamics; population growth; prey–predator; Public Goods; Quorum Sensing; reaction-diffusion; reaction-diffusion model; Reference, Information and Interdisciplinary subjects; regime shift; Research and information: general; semi-linear parabolic system of equations; social dynamics; spatial ecology; spatial fluctuation; spatial heterogeneity; spatial patterns; spatiotemporal pattern; spreading speeds; stage structure; taxis; telegrapher’s equation; total realized asymptotic population abundance; travelling waves; Turing instability; Turing patterns; Turing-Hopf bifurcation; vegetation pattern formation; wave of protests
• ISBN: 3036502963; 9783036502977; 3036502971; 9783036502960
• DOI: 10.3390/books978-3-0365-0297-7

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.