Abstract
In this paper, we introduce a generalization of the two-color multitype contact process intended to mimic a biological process called allelopathy. To be precise, we have two types of particle. Particles of each type give birth to particles of the same type, and die at rate 1. When a particle of type 1 dies, it gives way to a frozen site that blocks particles of type 2 for an exponentially distributed amount of time. Specifically, we investigate in detail the phase transitions and the duality properties of the interacting particle system.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1109-1119 |
| Number of pages | 11 |
| Journal | Journal of Applied Probability |
| Volume | 42 |
| Issue number | 4 |
| DOIs | |
| State | Published - Dec 2005 |
| Externally published | Yes |
Keywords
- Allelopathy
- Competition model
- Duality
- Interacting particle system
- Multitype contact process
- Phase transition
ASJC Scopus subject areas
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty