03884nam 2201105z- 450 991066980320332120231214133056.0(CKB)5400000000044012(oapen)https://directory.doabooks.org/handle/20.500.12854/68481(EXLCZ)99540000000004401220202105d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierPartial Differential Equations in Ecology80 Years and CountingBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 electronic resource (238 p.)3-0365-0296-3 3-0365-0297-1 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.Partial Differential Equations in Ecology Research & information: generalbicsscMathematics & sciencebicssccross diffusionTuring patternsnon-constant positive solutionanimal movementcorrelated random walkmovement ecologypopulation dynamicstaxistelegrapher’s equationinvasive specieslinear determinacypopulation growthmutationspreading speedstravelling wavesoptimal controlpartial differential equationinvasive species in a rivercontinuum modelspartial differential equationsindividual based modelsplant populationsphenotypic plasticityvegetation pattern formationdesertificationhomoclinic snakingfront instabilitiesEvolutionary dynamicsG-functionQuorum SensingPublic Goodssemi-linear parabolic system of equationsgeneralist predatorpattern formationTuring instabilityTuring-Hopf bifurcationbistabilityregime shiftcarrying capacityspatial heterogeneityPearl-Verhulst logistic modelreaction-diffusion modelenergy constraintstotal realized asymptotic population abundancechemostat modelsocial dynamicswave of protestslong transientsghost attractorprey–predatordiffusionnonlocal interactionspatiotemporal patternAllen–Cahn modelCahn–Hilliard modelspatial patternsspatial fluctuationdynamic behaviorsreaction-diffusionspatial ecologystage structuredispersalResearch & information: generalMathematics & sciencePetrovskii Sergeiedt1334185Petrovskii SergeiothBOOK9910669803203321Partial Differential Equations in Ecology3044792UNINA