An extremum principle for parabolic competition

✍ Scribed by Zoltán Varga; Eörs Szathmáry

• Book ID: 104272746
• Publisher: Springer
• Year: 1997
• Tongue: English
• Weight: 562 KB
• Volume: 59
• Category: Article
• ISSN: 1522-9602
• DOI: 10.1016/s0092-8240(97)00048-7

✦ Synopsis

Parabolic growth invariably results in the survival of all competing types. Under the constraint of constant total concentration, there is a unique equilibrium in the simplex interior, which is asymptotically stable inside the whole simplex. The appropriate Lyapunov function is obtained in terms of the excess productivity which is shown to be maximized for the competitive system with fractional order kinetics. Claims to the contrary are refuted.