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Approaches to the space-time modelling of infectious disease behaviour

A B Lawson1, P Leimich

  • 1Department of Mathematical Sciences, University of Aberdeen, UK.

IMA Journal of Mathematics Applied in Medicine and Biology
|April 11, 2000
PubMed

Insights

This study introduces a novel space-time model for infectious diseases using a modulated heterogeneous Poisson process. The model effectively captures disease spread dynamics by incorporating a two-dimensional susceptibility field, as demonstrated with a measles epidemic.

Area of Science:

  • Epidemiology
  • Mathematical Biology
  • Statistical Modeling

Background:

  • Understanding infectious disease transmission requires accurate space-time modeling.
  • Existing models may not fully capture the complex interplay of spatial and temporal factors in disease spread.

Purpose of the Study:

  • To propose a new space-time modeling approach for infectious diseases.
  • To develop a model incorporating a two-dimensional susceptibility field.
  • To apply the model to a real-world epidemic scenario.

Main Methods:

  • Utilizing a modulated heterogeneous Poisson process.
  • Defining the intensity function based on a two-dimensional susceptibility field.
  • Employing a proportional hazards approximation for model fitting.

Main Results:

  • The proposed model provides a flexible framework for space-time disease analysis.
  • The model was successfully fitted to a measles epidemic dataset.
  • The approach allows for the incorporation of spatially varying risk factors.

Conclusions:

  • The modulated heterogeneous Poisson process offers a promising tool for infectious disease modeling.
  • This method enhances the understanding of disease dynamics in both space and time.
  • Further applications in public health surveillance and intervention planning are suggested.

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