Abstract
We extend our previous work on the spatial spread of phage infection of immobile bacteria on an agar coated plate by explicitly including loss of viruses by both adsorption to bacteria and by decay of free viruses and by including a distributed virus latent period and distributed burst size rather than fixed values of these key parameters. We extend earlier results on the spread of virus and on the existence of traveling wave solutions when the basic reproductive number for virus, R0, exceeds one and we compare the results with those obtained in earlier work. Finally, we formulate and analyze a model of multiple virus strains competing to infect a common bacterial host in a petri dish.
Original language | English (US) |
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Pages (from-to) | 471-496 |
Number of pages | 26 |
Journal | Discrete and Continuous Dynamical Systems - Series B |
Volume | 21 |
Issue number | 2 |
DOIs | |
State | Published - Mar 1 2016 |
Keywords
- Distributed delay
- Linear determinacy
- Speed of spread
- Traveling wave solution
- Virus plaque
- Virus spread
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics