Now showing items 1-7 of 7

  • Applications of percolation theory to fungal spread with synergy 

    Ludlam, Jonathan J.; Gibson, Gavin J.; Otten, Wilfred; Gilligan, Christopher A. (The Royal Society, 2012-05)
    There is increasing interest in the use of the percolation paradigm to analyze and predict the progress of disease spreading in spatially-structured populations of animals and plants. The wider utility of the approach ...
  • Bayesian estimation for percolation models of disease spread in plant populations 

    Gibson, G. J.; Otten, Wilfred; Filipe, J. A. N.; Cook, A.; Marion, G.; Gilligan, C. A. (Springer Verlag, 2006-12)
    Statistical methods are formulated for fitting and testing percolation-based, spatio-temporal models that are generally applicable to biological or physical processes that evolve in spatially distributed populations. The ...
  • Biased model reduction by factor division 

    Lucas, T. Nigel (Institution of Engineering and Technology, 1984-07)
    Model reduction by the factor division method is extended to produce biased models. A simple Routh-type algorithm avoids the necessity to calculate the retained system time moments and Markov parameters beforehand and ...
  • The bilinear method: a new stability-preserving order reduction approach 

    Lucas, T. Nigel (Sage Publications, 2002)
    A new way of reducing the order of linear system transfer functions is presented. It guarantees stability in the approximation of stable systems and differs from existing stability-preserving methods by taking into account ...
  • Estimation of multiple transmission rates for epidemics in heterogeneous populations 

    Cook, Alex R.; Otten, Wilfred; Marion, Glenn; Gibson, Gavin J.; Gilligan, Christopher A. (The National Academy of Sciences of the USA, 2007-12)
    One of the principal challenges in epidemiological modeling is to parameterize models with realistic estimates for transmission rates in order to analyze strategies for control and to predict disease outcomes. Using a ...
  • Linear system reduction by the modified factor division method 

    Lucas, T. Nigel (Institution of Engineering and Technology, 1986-11)
    A novel method of linear system simplification is presented based on a modified factor division approach. It is seen to be more flexible than most model reduction methods in that families of reduced models may be easily ...
  • Model reduction by generalised least-squares method 

    Lucas, T. Nigel; Munro, A. R. (Institution of Engineering and Technology, 1991-07)
    The method of model reduction by least-squares moment matching is generalised to include Markov parameters in the process. This is seen to enhance the flexibility of the method with very little extra computational requirement. ...