Phase transition in a mean-field model for sympatric speciation

✍ Scribed by V. Schwämmle; K. Luz-Burgoa; J.S. Sá Martins; S. Moss de Oliveira

• Publisher: Elsevier Science
• Year: 2006
• Tongue: English
• Weight: 143 KB
• Volume: 369
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/j.physa.2006.01.076

✦ Synopsis

We introduce an analytical model for population dynamics with intra-specific competition, mutation and assortative mating as basic ingredients. The set of equations that describes the time evolution of population size in a mean-field approximation may be decoupled. We find a phase transition leading to sympatric speciation as a parameter that quantifies competition strength is varied. This transition, previously found in a computational model, occurs to be of first order.