Emergent population dynamics of random walkers with cooperative reproduction and spatial selection
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866918500557127680 |
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| author | Vilk, Ohad Meerson, Baruch |
| author_facet | Vilk, Ohad Meerson, Baruch |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_01770 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Emergent population dynamics of random walkers with cooperative reproduction and spatial selection Vilk, Ohad Meerson, Baruch Populations and Evolution Statistical Mechanics Probability Pattern Formation and Solitons 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. |
| title | Emergent population dynamics of random walkers with cooperative reproduction and spatial selection |
| topic | Populations and Evolution Statistical Mechanics Probability Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2605.01770 |