Abstract
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. c American Institute of Mathematical Sciences.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 327-342 |
| Number of pages | 16 |
| Journal | Networks and Heterogeneous Media |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Distributed delay.
- Linear determinacy
- Speed of spread
- Traveling wave solution
- Virus plaque
- Virus spread
ASJC Scopus subject areas
- Statistics and Probability
- Engineering(all)
- Computer Science Applications
- Applied Mathematics