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Calibration of an epidemic model to influenza data:
log-likelihood profiles for number of infectious classes,
infectious period distributions for classical
exponential models and optimal gamma distributed models,
observed data and deterministic approximations
(best fit classical models), and
observed data and ten simulations of optimal gamma distributed
model
[Daniel Pagendam, Phil Pollett and Joshua Ross, 2009]
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Maximum likelihood estimates of the basic reproductive ratio in
an epidemic model for increasingly long datasets
[Daniel Pagendam, Phil Pollett and Joshua Ross, 2009]
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Deterministic equilibrium proportion of occupied patches for
three metapopulation models: extinction-colonization, colonization-extinction
and stochastic logistic
[Fionnuala Buckley and Phil Pollett, 2008]
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One hundred years of population sizes obtained by simulating an SIS
process (black, triangles) and a birth-and-catastrophe process (grey,
circles) with the same population ceiling, birth rate and mean death rate
[Ben Cairns, Joshua Ross and Thomas Taimre, 2007]
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David Sirl discussing the contents
of his poster with another delegate at Stochastic Processes and their
Applications, Paris, July 2006
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MASCOS members Joshua Ross and David Sirl exchange what is believed to be a traditional French greeting at Stochastic Processes and their Applications, Paris, July 2006.
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The probability
of fixation for a duplicate gene relative to that of a neutral variant.
Each gene copy is subject to non-functionalization and the duplicate
is subject to an additional double-non-functionalizing mutation.
[Martin O'Hely, 2006]
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Quasistationary
distribution for a metapopulation network of 11 patches, 8 of which are
susceptible to disturbances and 3 of which are protected from these
disturbances. The horizontal and vertical axes represent the number of
suitable and occupied, respectively, susceptible patches.
[Joshua Ross and David Sirl, 2006]
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Expected time to
extinction for a metapopulation network of 11 patches, 8 of which are
susceptible to disturbances and 3 of which are protected from these
disturbances. The horizontal and vertical axes represent the number of
suitable and occupied, respectively, susceptible patches.
[Joshua Ross and David Sirl, 2006]
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A representation
of the optimal matrix for the sequential generation of Self-Avoiding
Random Walks on the two-dimensional lattice, of length 11. It is
optimal in a minimum cross-entropy sense to the uniform sampling
density over all SAWs of length 11, given the sequential generation
method.
[Thomas Taimre, 2006]
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Minister Tony McGrady (Minister for State
Development)
presenting a cheque to Phil Pollett
[Taken 20 April 2005] |
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David Sirl spoke at the
NSW State Conference of the Isolated Children's Parents Association
about his educational experiences.
The photograph shows the three main contibutors with
the Deputy Prime Minister, John Anderson
[Taken 18 March 2005] |
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MASCOS Qld without Ben Gladwin
[Taken 17 March 2005] |
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Approximate expected first exit times for a
piecewise-deterministic
process
[Ben Cairns, 2005] |
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Three hole potential used to find initial
stochastic
approximation to a
deterministic path. Transitions between states are selected so that the
overall path has the shortest expected total time
[Ben Gladwin, 2004] |
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Diffusion approximation for a mainland-island
metapopulation model
[Joshua Ross and Phil Pollett, 2004] |
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Simulation of a controlled population process
[Joshua Ross and Phil Pollett, 2004] |
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Chemical reaction simulation with
quasi-stationary
distribution and
deterministic path
[David Sirl, 2004] |
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Moment matching approximation to the price of a
volume
weighted average
price fixed strike option
[Antony Stace, 2004] |
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Kamada-Kawai Minimum Energy Graphs obtained using
the
Cross-Entropy
Method
[Thomas Taimre, 2004] |
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Kamada-Kawai Minimum Energy Graphs obtained using
the
Cross-Entropy
Method
[Thomas Taimre, 2004] |
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Simulation of a population process and contours
of a
bivariate normal
approximation to the quasi-stationary distribution
[Joshua Ross, 2003] |
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Expected hitting times for the boundary (x,0)
of
a
two-dimensional
finite-state Markov chain used as a model for a
metapopulation in a stochastic environment
[Ben Cairns, 2003] |
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Quasi-stationary
distribution for the above-mentioned
metapopulation
model, conditional on not having hit the boundary (x,0)
[Ben Cairns, 2003] |
