Abstract
The spread in time of a mutation through a population is studied analytically and computationally in fully connected networks and on spatial lattices. The time for a favorable mutation to dominate scales with the population size as in -dimensional hypercubic lattices and as in fully-connected graphs. It is shown that the surface of the interface between mutants and nonmutants is crucial in predicting the dynamics of the system. Network topology has a significant effect on the equilibrium fitness of a simple population model incorporating multiple mutations and sexual reproduction.
- Received 8 April 2006
DOI:https://doi.org/10.1103/PhysRevLett.98.098103
©2007 American Physical Society