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Front propagation in epidemiological models with spatial dependence

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  • Kuperman, M.N
  • Wio, H.S

Abstract

We present two kinds of epidemiological models with spatio-temporal dependence in order to describe the spread of infectious diseases. We include a space and time dependent contact term, substituting the constant contact coefficient used in typical models. Periodic temporal modulations of some parameters corresponding to some epidemic features are considered in order to analyze the possibility of pattern-propagation-like phenomena related to the infectivity and recovery fronts and the surge of travelling waves.

Suggested Citation

  • Kuperman, M.N & Wio, H.S, 1999. "Front propagation in epidemiological models with spatial dependence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(1), pages 206-222.
    • Handle: RePEc:eee:phsmap:v:272:y:1999:i:1:p:206-222
    DOI: 10.1016/S0378-4371(99)00284-8
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    Cited by:

    1. Bruno Bonté & Jean-Denis Mathias & Raphaël Duboz, 2012. "Moment Approximation of Infection Dynamics in a Population of Moving Hosts," PLOS ONE, Public Library of Science, vol. 7(12), pages 1-10, December.
    2. Ilnytskyi, Jaroslav & Kozitsky, Yuri & Ilnytskyi, Hryhoriy & Haiduchok, Olena, 2016. "Stationary states and spatial patterning in an SIS epidemiology model with implicit mobility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 36-45.

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