Skellams Model

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Skellams Model (1 dimension)
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The asymptotic behavior of Skellams models
After a sufficient time the wave celerity is
constant
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The establishment phase in Skellams model
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More complex Reaction-Diffusion models (dispersal
is after birth only)
birth rate at time t and in location x
probability that an individual born a time units
ago in location ? is now alive in location x
probability of survival to age a
birth rate in location ? a time units ago
fecundity at age a
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Cellular Automata
The state of each site depends deterministically
on the state of its neighbors. Iterating rules of
transition over time yields a stable spatial
distribution.
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Interacting Particle Systems (Richardsons model)
The probability that a sites state changes
depends on the state of its neighbors.
Stochasticity is explicitly taken into account.