A new model for interacting populations—II: Principle of competitive exclusion

✍ Scribed by Jagannathan Gomatam

• Publisher: Springer
• Year: 1974
• Tongue: English
• Weight: 433 KB
• Volume: 36
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(74)80035-2

✦ Synopsis

The principle of competitive exclusion is investigated within the framework of the solvable model proposed earlier for two-species systems. The results elucidate the recent controversy over the interpretation of experimental data on Drosophila equilibrium. It is shown that the necessary and sufficient conditions for stable coexistence of competing species is that the product of intraspecific rate constants be greater than the product of interspecific rate constants. Inequalities between rate constants for the occurrence of stable equilibrium below and above the line joining single species equilibria are derived. The availability of larger domain of coexistence suggests that the model presented here has the potential to accommodate a wider class of phenomena than the Gause-Voltcrra model according to which coexistence is possible only above the line of single species equilibrium.