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S-I-R Model with Directed Spatial Diffusion




A S-I-R epidemic model is described in which susceptible individuals move away from foci of infection, and all individuals move away from overcrowded regions. It consists of hyperbolic partial differential equations, the sum of these equations being parabolic. Positivity and regularity of solutions are discussed and finite time blow-up of some solutions is illustrated through numerical simulations. A numerical test of the finite time blow-up of solutions is proposed.

Suggested Citation

  • Fabio Milner & Ruijun Zhao, 2008. "S-I-R Model with Directed Spatial Diffusion," Mathematical Population Studies, Taylor & Francis Journals, vol. 15(3), pages 160-181.
  • Handle: RePEc:taf:mpopst:v:15:y:2008:i:3:p:160-181
    DOI: 10.1080/08898480802221889

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    Cited by:

    1. Norberto AnĂ­bal Maidana & Hyun Mo Yang, 2013. "How Do Bird Migrations Propagate the West Nile virus," Mathematical Population Studies, Taylor & Francis Journals, vol. 20(4), pages 192-207, October.
    2. repec:eee:apmaco:v:316:y:2018:i:c:p:138-154 is not listed on IDEAS
    3. Mi-Young Kim & Tsendayush Selenge, 2016. "Discontinuous-continuous Galerkin methods for population diffusion with finite life span," Mathematical Population Studies, Taylor & Francis Journals, vol. 23(1), pages 17-36, January.


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