The speed of traveling fronts for a two-dimensional model of a delayed reaction-dispersal process is derived analytically and from simulations of molecular dynamics. We show that the one-dimensional (1D) and two-dimensional (2D) versions of a given kernel do not yield always the same speed. It is also shown that the speeds of time-delayed fronts may be higher than those predicted by the corresponding non-delayed models. This result is shown for systems with peaked dispersal kernels which lead to ballistic transport.
|Publication status||Published - 15 Mar 2004|
Méndez, V., Campos, D., & Fort, J. (2004). Speed of travelling fronts: Two-dimensional and ballistic dispersal probability distributions. Europhysics Letters, 66, 902-908. https://doi.org/10.1209/epl/i2004-10062-4