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| Evolution by Natural Selection is a process by which progeny
inherit some properties from their progenitors with small variation.
These properties are subject to Natural Selection and are called adaptive traits
and carriers of the latter are called phenotypes.
The distribution of the density of phenotypes in a population
is called Evolutionary Distributions (ED).
We analyze mathematical models of the dynamics of a system of ED.
Such systems are anisotropic in that
diffusion of phenotypes in each population
(equation) remains positive in the directions of their
own adaptive space
and vanishes in the directions of the other's adaptive space.
We prove that solutions to such systems exist
in a sense weaker than the usual.
We develop an algorithm for numerical solutions of such systems.
Finally, we conduct numerical experiments---with a
model in which populations compete---that allow us to
observe salient attributes of a specific system of ED. |
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