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

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Overview<br />

Moment equations, with choices<br />

More general challenges<br />

References<br />

integro-PDE analogue<br />

∂n(x, t)<br />

= f (D ∗ n) − µ(x)n(x) − αn(x) 2<br />

∂t<br />

Try to simplify the equations by assuming (1) short-range kernels<br />

(changes kernels to diusion operators), (2) local interactions: do<br />

we get to the naive reaction-diusion equation (Nevai)<br />

Ben Bolker<br />

Spatial <strong>models</strong> in ecology

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