03893nam 2201117z- 450 991066980320332120210501(CKB)5400000000044012(oapen)https://directory.doabooks.org/handle/20.500.12854/68481(oapen)doab68481(EXLCZ)99540000000004401220202105d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierPartial Differential Equations in Ecology80 Years and CountingBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online 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 Mathematics & sciencebicsscResearch & information: generalbicsscAllen-Cahn modelanimal movementbistabilityCahn-Hilliard modelcarrying capacitychemostat modelcontinuum modelscorrelated random walkcross diffusiondesertificationdiffusiondispersaldynamic behaviorsenergy constraintsEvolutionary dynamicsfront instabilitiesG-functiongeneralist predatorghost attractorhomoclinic snakingindividual based modelsinvasive speciesinvasive species in a riverlinear determinacylong transientsmovement ecologymutationnon-constant positive solutionnonlocal interactionoptimal controlpartial differential equationpartial differential equationspattern formationPearl-Verhulst logistic modelphenotypic plasticityplant populationspopulation dynamicspopulation growthprey-predatorPublic GoodsQuorum Sensingreaction-diffusionreaction-diffusion modelregime shiftsemi-linear parabolic system of equationssocial dynamicsspatial ecologyspatial fluctuationspatial heterogeneityspatial patternsspatiotemporal patternspreading speedsstage structuretaxistelegrapher's equationtotal realized asymptotic population abundancetravelling wavesTuring instabilityTuring patternsTuring-Hopf bifurcationvegetation pattern formationwave of protestsMathematics & scienceResearch & information: generalPetrovskii Sergeiedt1334185Petrovskii SergeiothBOOK9910669803203321Partial Differential Equations in Ecology3044792UNINA