Biology
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978stin...7919972n&link_type=abstract
Unknown
Biology
Exobiology, Extraterrestrial Life, Population Theory, Analysis (Mathematics), Colonies, Diffusion, Galaxies, Mathematical Models, Potential Theory, Wave Fronts
Scientific paper
The interstellar diffusion of galactic civilizations is reexamined by potential theory; both numerical and analytical solutions are derived for the nonlinear partial differential equations which specify a range of relevant models, drawn from blast wave physics, soil science, and, especially, population biology. An essential feature of these models is that, for all civilizations, population growth must be limited by the carrying capacity of the environment. Dispersal is fundamentally a diffusion process; a density-dependent diffusivity describes interstellar emigration. Two models are considered: the first describing zero population growth (ZPG), and the second which also includes local growth and saturation of a planetary population, and for which an asymptotic traveling wave solution is found.
Newman William I.
Sagan Carl
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