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Stochastic modelling of the invasion process of nematodes in fly larvae

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  • M. J. Faddy
  • J. S. Fenlon

Abstract

Stochastic models based on Markov birth processes are constructed to describe the process of invasion of a fly larva by entomopathogenic nematodes. Various forms for the birth (invasion) rates are proposed. These models are then fitted to data sets describing the observed numbers of nematodes that have invaded a fly larva after a fixed period of time. Non‐linear birth‐rates are required to achieve good fits to these data, with their precise form leading to different patterns of invasion being identified for three populations of nematodes considered. One of these (Nemasys) showed the greatest propensity for invasion. This form of modelling may be useful more generally for analysing data that show variation which is different from that expected from a binomial distribution.

Suggested Citation

  • M. J. Faddy & J. S. Fenlon, 1999. "Stochastic modelling of the invasion process of nematodes in fly larvae," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 48(1), pages 31-37.
    • Handle: RePEc:bla:jorssc:v:48:y:1999:i:1:p:31-37
    DOI: 10.1111/1467-9876.00137
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    Cited by:

    1. Bretó, Carles, 2012. "Time changes that result in multiple points in continuous-time Markov counting processes," Statistics & Probability Letters, Elsevier, vol. 82(12), pages 2229-2234.
    2. Virginia Giorno & Amelia G. Nobile, 2023. "Time-Inhomogeneous Finite Birth Processes with Applications in Epidemic Models," Mathematics, MDPI, vol. 11(21), pages 1-31, November.
    3. Bretó, Carles, 2014. "Trajectory composition of Poisson time changes and Markov counting systems," Statistics & Probability Letters, Elsevier, vol. 88(C), pages 91-98.
    4. I. Ricard & A. C. Davison, 2007. "Statistical inference for olfactometer data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(4), pages 479-492, August.

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