LEADER 03884nam 2201105z- 450 001 9910669803203321 005 20231214133056.0 035 $a(CKB)5400000000044012 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68481 035 $a(EXLCZ)995400000000044012 100 $a20202105d2021 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPartial Differential Equations in Ecology$e80 Years and Counting 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2021 215 $a1 electronic resource (238 p.) 311 $a3-0365-0296-3 311 $a3-0365-0297-1 330 $aPartial 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. 517 $aPartial Differential Equations in Ecology 606 $aResearch & information: general$2bicssc 606 $aMathematics & science$2bicssc 610 $across diffusion 610 $aTuring patterns 610 $anon-constant positive solution 610 $aanimal movement 610 $acorrelated random walk 610 $amovement ecology 610 $apopulation dynamics 610 $ataxis 610 $atelegrapher?s equation 610 $ainvasive species 610 $alinear determinacy 610 $apopulation growth 610 $amutation 610 $aspreading speeds 610 $atravelling waves 610 $aoptimal control 610 $apartial differential equation 610 $ainvasive species in a river 610 $acontinuum models 610 $apartial differential equations 610 $aindividual based models 610 $aplant populations 610 $aphenotypic plasticity 610 $avegetation pattern formation 610 $adesertification 610 $ahomoclinic snaking 610 $afront instabilities 610 $aEvolutionary dynamics 610 $aG-function 610 $aQuorum Sensing 610 $aPublic Goods 610 $asemi-linear parabolic system of equations 610 $ageneralist predator 610 $apattern formation 610 $aTuring instability 610 $aTuring-Hopf bifurcation 610 $abistability 610 $aregime shift 610 $acarrying capacity 610 $aspatial heterogeneity 610 $aPearl-Verhulst logistic model 610 $areaction-diffusion model 610 $aenergy constraints 610 $atotal realized asymptotic population abundance 610 $achemostat model 610 $asocial dynamics 610 $awave of protests 610 $along transients 610 $aghost attractor 610 $aprey?predator 610 $adiffusion 610 $anonlocal interaction 610 $aspatiotemporal pattern 610 $aAllen?Cahn model 610 $aCahn?Hilliard model 610 $aspatial patterns 610 $aspatial fluctuation 610 $adynamic behaviors 610 $areaction-diffusion 610 $aspatial ecology 610 $astage structure 610 $adispersal 615 7$aResearch & information: general 615 7$aMathematics & science 700 $aPetrovskii$b Sergei$4edt$01334185 702 $aPetrovskii$b Sergei$4oth 906 $aBOOK 912 $a9910669803203321 996 $aPartial Differential Equations in Ecology$93044792 997 $aUNINA