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Networks and Heterogeneous Media

2013, Volume 8, Issue 1: 327-342. doi: 10.3934/nhm.2013.8.327
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Spread of viral infection of immobilized bacteria

  • 1.
    School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ, USA 85287
  • 2.
    School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1804
  • 3.
    School of Mathematical and Statistical Sciences, Arizona State University, Tempe, AZ 85287
  • Received: 01 April 2012 Revised: 01 October 2012

  • Primary: 58F15, 58F17; Secondary: 53C35.

  • A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist.

    Citation: Don A. Jones, Hal L. Smith, Horst R. Thieme. Spread of viral infection of immobilized bacteria[J]. Networks and Heterogeneous Media, 2013, 8(1): 327-342. doi: 10.3934/nhm.2013.8.327

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  • A reaction diffusion system with a distributed time delay is proposed for virus spread on bacteria immobilized on an agar-coated plate. A distributed delay explicitly accounts for a virus latent period of variable duration. The model allows the number of virus progeny released when an infected cell lyses to depend on the duration of the latent period. A unique spreading speed for virus infection is established and traveling wave solutions are shown to exist.


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