Iterative Schemes for Bump Solutions in a Neural Field Model
We develop two iteration schemes for construction of localized stationary solutions (bumps) of a one-population WilsonCowan model with a smooth firing rate function. The first scheme is based on the fixed point formulation of the stationary WilsonCowan model. The second one is formulated in terms of the excitation width of a bump. Using the theory of monotone operators in ordered Banach spaces we justify convergence of both iteration schemes.
iteration schemes for bumps neural field models monotone operators in ordered banach spaces