Continuous-space models for (ecological) population dynamics - ICMS

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Analysis/solution Overview Moment equations, with choices More general challenges References Kernel choices: Laplacian, modied Bessel, top hat (Birch and Young, 2006; Ovaskainen and Cornell, 2006)): compact support works Dimensionality Parameter choices: length scale (competition vs dispersal vs environment), eective neighborhood size Fourier or Hankel transform often simplies analysis (but again depends on closure) Ben Bolker Spatial models in ecology
Overview Moment equations, with choices More general challenges References electric monk: automatic moment equations High-throughput math biology The Electric Monk was a labour-saving device, like a dishwasher or a video recorder. Dishwashers washed tedious dishes for you, thus saving you the bother of washing them yourself, video recorders watched tedious television for you, thus saving you the bother of looking at it yourself; Electric Monks believed things for you, thus saving you what was becoming an increasingly onerous task, that of believing all the things the world expected you to believe . . . Douglas Adams, Dirk Gently's Holistic Detective Agency Ben Bolker Spatial models in ecology
Page 1 and 2: Overview Moment equations, with cho
Page 3 and 4: Model classes Overview Moment equat
Page 5 and 6: Outline Overview Moment equations,
Page 7 and 8: Master equation Overview Moment equ
Page 13 and 14: Expand covariances Overview Moment
Page 17: Continuum limits Overview Moment eq
Page 23 and 24: Analysis Overview Moment equations,
Page 25 and 26: Exploiting linearity Overview Momen
Page 29 and 30: Species coexistence Overview Moment
Page 33 and 34: More . . . Overview Moment equation

Continuous-space models for (ecological) population dynamics - ICMS

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