River networks and ecological corridors: reactive transport on fractals, migration fronts, hydrochory

摘要: Moving from a recent quantitative model of the US colonization in 19th century that relies on analytical and numerical results reactive-diffusive transport fractal river networks, this paper considers its generalization to include an embedded flow direction which biases transport. We explore properties biased reaction-dispersal models, reaction rates are described by logistic equation. The relevance work is related prediction role hydrologic controls invasion processes ( species, populations, propagules, or infective agents, depending specifics transport) occurring basins. Exact solutions obtained along with general solutions, applied constructs like Peano basins real rivers. also similarities departures different one-dimensional models where bias added both diffusion telegraph equations, considering their respective ecological insight. find geometrical constraints imposed networks imply strong corrections speed traveling fronts can be enhanced smoothed bias. Applications show chief morphological parameters affecting front those characterizing node-to-node distances measured network structure. spatial density number reactive sites thus prove vital control invasions. argue our currently tied validity growth, might relevant study species' spreading corridors defined