2026/05/03 by Anonymous, Ohad Vilk, Baruch Meerson
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · Physics and Astronomy · Social Sciences · #Diffusion and Search Dynamics #Dynamics (music) #Evolutionary Game Theory and Cooperation #Mathematical and Theoretical Epidemiology and Ecology Models #Population #Reproduction #Selection (genetic algorithm) #cond-mat.stat-mech #math.PR #nlin.PS #q-bio.PE
paper · pdf · doi:10.1103/x1ns-ln24
published as Phys. Rev. E 114, L022101 (2026) · 5 pages, 4 figures, Supplementary Material
openalex publication_date 2026/07/15 · openalex created_date 2026/07/16 · arxiv created 2026/07/23 · arxiv updated 2026/08/05 · openalex updated_date 2026/08/05
We extend the N branching Brownian motions model of population invasion to higher-order asexual reproduction. Increasing reproduction order leads to qualitative changes: invasion fronts generically cease to exist beyond binary reproduction; and in the binary case itself, their speed becomes diffusion-independent. Ternary reproduction shows critical behavior, with collapse into a strongly localized `invasion bullet' in the supercritical regime, diffusive spreading in the subcritical regime, and a continuous family of fronts at criticality. These results suggest that the dominance of division and binary reproduction in nature reflects fundamental constraints on invasion dynamics.