65 research outputs found
Strength in numbers? Not always!
We propose a simple model to compute the probability of success under a
quorum sensing strategy. We show that a quorum sensing strategy has a higher
probability of success than an individualistic strategy when, for instance, the
probability of success for a single individual is low and the cost of building
a quorum is not too high. On the other hand if the cost of building a quorum is
too high then the probability of success under quorum sensing always decreases
as a function of the quorum
Survival and coexistence for a multitype contact process
We study the ergodic theory of a multitype contact process with equal death
rates and unequal birth rates on the -dimensional integer lattice and
regular trees. We prove that for birth rates in a certain interval there is
coexistence on the tree, which by a result of Neuhauser is not possible on the
lattice. We also prove a complete convergence result when the larger birth rate
falls outside of this interval.Comment: Published in at http://dx.doi.org/10.1214/08-AOP422 the Annals of
Probability (http://www.imstat.org/aop/) by the Institute of Mathematical
Statistics (http://www.imstat.org
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