Abstract: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.
From: Baruch Meerson [view email]
[v1]
Sun, 3 May 2026 08:09:15 UTC (1,266 KB)
[v2]
Wed, 13 May 2026 18:14:39 UTC (1,586 KB)
[v3]
Thu, 23 Jul 2026 18:44:25 UTC (1,777 KB)
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