A simple model system of two self-reproducing objects is considered. A set of equations, similar to Eigen's equations, describing competition of these objects is derived and analyzed under the effect of an 'ecological constraint'. The relation with other constraints used in the literature is discuss
Historicity of a Simple Competition Model
โ Scribed by Yukihiko Toquenaga
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 169 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-5193
No coin nor oath required. For personal study only.
โฆ Synopsis
A Lotka-Volterra competition model was constructed to demonstrate historicity in community assemblage through competitive exclusion. Gilpin previously showed that if two five-species subcommunities have been self-organized through competitive exclusion, the resultant assemblage was dominated by either one of the subcommunities. I have extended his experiment and confirmed his results using two subcommunities consisting of three species as well as five species. Further experiments with two subcommunities of different sizes showed not only asymmetry but also a new feature that the smaller subcommunities tended to overcome the larger one.
๐ SIMILAR VOLUMES
We prove that the game coloring number, and therefore the game chromatic number, of a planar graph is at most 18. This is a slight improvement of the current upper bound of 19. Perhaps more importantly, we bound the game coloring number of a graph G in terms of a new parameter r(G). We use this resu