# American Institute of Mathematical Sciences

March  2016, 21(2): 471-496. doi: 10.3934/dcdsb.2016.21.471

## Spread of phage infection of bacteria in a petri dish

 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  January 2015 Revised  May 2015 Published  November 2015

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, $\mathcal{R}_0$, 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.
Citation: Don A. Jones, Hal L. Smith, Horst R. Thieme. Spread of phage infection of bacteria in a petri dish. Discrete and Continuous Dynamical Systems - B, 2016, 21 (2) : 471-496. doi: 10.3934/dcdsb.2016.21.471
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