Publications [#231393] of William G. Wilson
Papers Published
- Socolar, JE; Richards, S; Wilson, WG, Evolution in a spatially structured population subject to rare epidemics.,
Physical review. E, Statistical, nonlinear, and soft matter physics, vol. 63 no. 4 Pt 1
(April, 2001),
pp. 041908, ISSN 1539-3755 [11308878], [doi]
(last updated on 2024/04/18)Abstract:
We study a model that gives rise to spatially inhomogeneous population densities in a system of host individuals subject to rare, randomly distributed disease events. For stationary hosts that disperse offspring over short distances, evolutionary dynamics can lead to persistent populations with a variety of spatial structures. A mean-field analysis is shown to account for the behavior observed in simulations of a one-dimensional system, where the evolutionarily stable state corresponds to the solution of a straightforward optimization problem. In two dimensions, evolution drives the system to a stable critical state that is less well understood.