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Spread of viral infection of immobilized bacteria

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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.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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