An official website of the United States government
In the system we study, 1's and 0's represent occupied and vacant sites in the contact process with births at rate $$\lambda$$ and deaths at rate 1. $-1$'s are sterile individuals that do not reproduce but appear spontaneously on vacant sites at rate $$\alpha$$ and die at rate $$\theta\alpha$$. We show that the system (which is attractive but has no dual) dies out at the critical value and has a nontrivial stationary distribution when it is supercritical. Our most interesting results concern the asymptotics when $$\alpha\to 0$$. In this regime the process resembles the contact process in a random environment.
more »
« less
Note: When clicking on a Digital Object Identifier (DOI) number, you will be taken to an external site maintained by the publisher.
Some full text articles may not yet be available without a charge during the embargo (administrative interval).
What is a DOI Number?
Some links on this page may take you to non-federal websites. Their policies may differ from this site.
