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- Phil Pollett
- 2008

The purpose of this paper is to study a stochastic model which assesses the effect of mutual interference on the searching efficiency in populations of insect parasites. By looking carefully at theâ€¦ (More)

- Phil Pollett
- 2009

We propose a model for the presence/absence of a population in a collection of habitat patches. This model assumes that colonisation and extinction of the patches occur as distinct phases.â€¦ (More)

- Phil Pollett, V. T. STEFANOV
- 2002

This note presents a method of evaluating the distribution of a path integral for Markov chains on a countable state space. We illustrate the method with reference to several models, includingâ€¦ (More)

- Joshua V. Ross, Thomas Taimre, Phil Pollett
- Theoretical population biology
- 2006

We describe methods for estimating the parameters of Markovian population processes in continuous time, thus increasing their utility in modelling real biological systems. A general approach,â€¦ (More)

For evanescent Markov processes with a single transient communicating class, it is often of interest to examine the limiting probabilities that the process resides in the various transient states,â€¦ (More)

- CHAINSSylvia Elmes, Phil Pollett, David Walker
- 1994

This note considers continuous-time Markov chains whose state space consists of an irreducible class, C, and an absorbing state which is accessible from C. The purpose is to provide resultsâ€¦ (More)

Quasi-stationary distributions, as discussed in Darroch and Seneta (1965), have been used in biology to describe the steady state behaviour of population models which, while eventually certain toâ€¦ (More)

The term â€˜metapopulationâ€™ is used to describe individuals of a species living as a group of local populations in geographically separate, but connected, habitat patches (Levins 1970, Hanski 1999).â€¦ (More)

- Joshua V. Ross, D. E. Pagendam, Phil Pollett
- Theoretical population biology
- 2009

Recently, a computationally-efficient method was presented for calibrating a wide-class of Markov processes from discrete-sampled abundance data. The method was illustrated with respect toâ€¦ (More)

- Phil Pollett
- Mathematical biosciences
- 2003

This paper presents a method of evaluating the expected value of a path integral for a general Markov chain on a countable state space. We illustrate the method with reference to several models,â€¦ (More)