Relevant publications

Pollett, P.K. (1986)
On the equivalence of
m-invariant
measures for the minimal process
and its q-matrix.
* Stochastic Processes and their Applications* **22**,
203-221.

Parsons, R.W. and Pollett, P.K. (1987)
Quasistationary distributions for some autocatalytic reactions.
* Journal of Statistical Physics* **46**,
249-254.

Pollett, P.K. (1987)
On the long-term behaviour of a population that is subject to
large-scale mortality or emigration.
In (Ed. S. Kumar)
* Proceedings of the 8th National Conference of the Australian Society for
Operations Research*,
pp. 196-207.

Pollett, P.K. (1988)
Reversibility, invariance and mu-invariance.
* Advances in Applied Probability* **20**,
600-621.

Pollett, P.K. (1988)
On the problem of evaluating quasistationary distributions for
open reaction schemes.
* Journal of Statistical Physics* **53**,
1207-1215.

Pakes, A.G. and Pollett, P.K. (1989)
The supercritical birth, death and catastrophe process: limit
theorems on the set of extinction.
* Stochastic Processes and their Applications* **32**,
161-170.

Pollett, P.K. (1989) The generalized Kolmogorov criterion. 29-44.

Pollett, P.K. and Roberts, A.J. (1990)
A description of the long-term behaviour of absorbing continuous-time
Markov chains using a centre manifold.
* Advances in Applied Probability* **22**,
111-128.

Pollett, P.K. and Vere-Jones, D. (1992)
A note on evanescent processes.
* The Australian Journal of Statistics* **34**,
531-536.

Nair, M.G. and Pollett, P.K. (1993)
On the relationship between
m-invariant
measures and
quasistationary distributions for continuous-time Markov chains.
* Advances in Applied Probability* **25**,
82-102.

Pollett, P.K. (1993)
Modelling the long-term behaviour of evanescent ecological systems.
In (Ed. M. McAleer)
* Proceedings of the International Congress on Modelling
and Simulation*,
Modelling and Simulation Society of Australia, Perth,
Vol. 1, pp. 157-162.

Pollett, P.K. (1993)
Recent advances in the theory and application of
quasistationary distributions.
In (Eds S. Osaki and D.N.P. Murthy)
* Proceedings of the 1st Australia-Japan Workshop on Stochastic Models
in Engineering, Technology and Management*,
World Scientific,
Singapore,
pp. 477-486.

Pollett, P.K. (1993)
Analytical and computational methods for modelling the long-term
behaviour of evanescent random processes.
In (Eds D.J. Sutton, C.E.M. Pearce and E.A. Cousins)
* Decision Sciences: Tools for Today,
Proceedings of the 12th National Conference of the Australian
Society for Operations Research*,
Australian Society for Operations Research, Adelaide,
pp. 514-535.

Pollett, P.K. and Stewart, D.E. (1994)
An efficient procedure for computing quasistationary distributions
of Markov chains with sparse transition structure.
* Advances in Applied Probability* **26**, 68-79.

Pollett, P.K. (1995)
The determination of quasistationary distributions directly
from the transition rates of an absorbing Markov chain.
* Mathematical and Computer Modelling * ** 22**, 279-287.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1996)
The quasistationary distributions of homogeneous quasi-birth-and-death
processes.
In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki)
* Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models
in Engineering, Technology and Management*,
Technology Management Centre, The University of Queensland, pp. 44-55.

Elmes, S., Pollett, P.K. and Walker, D. (1996)
On the relationship between
m-invariant
measures and quasistationary distributions for absorbing continuous-time
Markov chains when absorption is not certain.
In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki)
* Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models
in Engineering, Technology and Management*,
Technology Management Centre, The University of Queensland, pp. 131-140.

Hart, A.G. and Pollett, P.K. (1996)
Direct analytical methods for determining quasistationary
distributions for continuous-time Markov chains. In
(Eds C.C. Heyde, Yu V. Prohorov, R. Pyke and S.T. Rachev)
*Athens Conference on Applied
Probability and Time Series Analysis, Volume I: Applied Probability, In
Honour of J.M. Gani*,
Lecture Notes in Statistics 114,
Springer-Verlag, New York, pp. 116-126.

Hart, A.G. and Pollett, P.K. (1996)
New methods for determining quasistationary
distributions for continuous-time Markov chains.
In (Eds Richard J. Wilson, D.N. Pra Murthy and Shunji Osaki)
* Proceedings of the 2nd Australia-Japan Workshop on Stochastic Models
in Engineering, Technology and Management*,
Technology Management Centre, The University of Queensland, pp. 177-186.

Pollett, P.K. (1996)
Modelling the long-term behaviour of evanescent ecological systems.
* Ecological Modelling* **86**, 135-139.

Bean N.G., Bright, L., Latouche, G., Pearce, C.E.M., Pollett, P.K. and
Taylor, P.G. (1997)
The quasistationary behaviour of quasi-birth-and-death processes.
* The Annals of Applied Probability* **7**, 134-155.

Kijima, M., Nair, M.G., Pollett, P.K. and van Doorn, E. (1997)
Limiting conditional distributions for birth-death processes.
* Advances in Applied Probability* **29**, 185-204.

Pollett, P.K. (1997)
Limiting conditional distributions for stochastic metapopulation models.
In (Eds A.D. McDonald and M. McAleer)
* Proceedings of the International Congress on Modelling and Simulation*,
Vol. 2 (ISBN 0-86422-826-0),
Modelling and Simulation Society of Australia, Hobart, Australia, pp. 807-812.

Roberts, G.O., Jacka, S.D. and Pollett, P.K. (1997)
Non-explosivity of limits of conditioned birth and death processes.
* Journal of Applied Probability* **34**, 35-45.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (1998)
The quasistationary distributions of level-independent quasi-birth-and-death
processes.
* Stochastic Models* **14**
(Special Issue in Honour of Marcel Neuts), 389-406.

Coolen-Schrijner, P. and Pollett, P.K. (1999)
Quasi-stationarity of discrete-time Markov chains with drift to infinity.
* Methodology and Computing in Applied Probability* **1**, 81-96.

Pollett, P.K. (1999)
Quasistationary distributions for continuous time Markov chains when absorption is not certain.
* Journal of Applied Probability* **36**, 268-272.

Pollett, P.K. (1999)
Modelling quasi-stationary behaviour in metapopulations.
* Mathematics and Computers in Simulation* **48**, 393-405.

Pollett, P.K. (1999)
Quasistationarity in populations that are subject to large-scale
mortality or emigration.
In
(Eds Les Oxley, Frank Scrimgeour and Anthony Jakeman)
* Proceedings of the International Congress on Modelling
and Simulation*, Vol. 3 (ISBN 0-86422-950-X),
Modelling and Simulation Society of Australia and New Zealand,
Hamilton, New Zealand, pp. 667-672.

Bean, N.G., Pollett, P.K. and Taylor, P.G. (2000)
The quasistationary distributions of
level-dependent quasi-birth-and-death processes.
* Stochastic Models* **16**, 511-541.

Coolen-Schrijner, P., Hart, A.G. and Pollett, P.K. (2000)
Quasistationarity of continuous-time Markov chains with positive drift.
*Journal of the Australian Mathematical Society, Series B* **41**, 423-441.

Darlington, S.J. and Pollett, P.K. (2000)
Quasistationarity in continuous time Markov chains
where absorption is not certain.
* Journal of Applied Probability* **37**, 598-600.

Elmes, S., Pollett, P.K. and Walker, D. (2000)
Further results on
the relationship between
m-invariant
measures and quasistationary distributions for absorbing continuous-time
Markov chains.
* Mathematical and Computer Modelling* **31**, 107-113.

Hart, A.G. and Pollett, P.K. (2000)
New methods for determining quasistationary
distributions for continuous-time Markov chains.
* Mathematical and Computer Modelling* **31**, 143-150.

Clancy, D., O'Neill, P.D. and Pollett, P.K. (2001)
Approximations for the long-term behaviour of an open-population
epidemic model.
* Methodology and Computing in Applied Probability* **3**, 75-95.

Pollett, P.K. (2001)
Quasistationarity in populations that are subject to large-scale
mortality or emigration.
*Environment International* **27**, 231-236.

Clancy, D. and Pollett, P.K. (2003)
A note on quasi-stationary distributions of birth-death processes
and the SIS logistic epidemic.
*Journal of Applied Probability* **40**
(to appear).

If you have any comments on these pages,

feel free to e-mail
me: * pkp@maths.uq.edu.au *