Spread of viral infection of immobilized bacteria | Zendy

Don A. Jones | Zendy; Hal L. Smith | Zendy; Horst R. Thieme | Zendy

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Spread of viral infection of immobilized bacteria

Author(s) -

Don A. Jones,

Hal L. Smith,

Horst R. Thieme

Publication year - 2013

Publication title -

networks and heterogeneous media

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.732

H-Index - 34

eISSN - 1556-181X

pISSN - 1556-1801

DOI - 10.3934/nhm.2013.8.327

Subject(s) - bacteria , lysis , diffusion , duration (music) , virus , period (music) , virology , microbiology and biotechnology , biology , physics , immunology , thermodynamics , genetics , acoustics

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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