Mathematical model of evolutionary branching

作者：Genieys S^*; Bessonov N; Volpert V

来源：Mathematical and Computer Modelling, 2009, 49(11-12): 2109-2115.

DOI：10.1016/j.mcm.2008.07.018

• Adaptive dynamics
• Evolutionary branching
• Non-local Fisher equation
• Darwin's divergence principle

This work is devoted to the study of an evolutionary system where similar individuals are competing for the same resources. Mathematically it is a Fisher equation with an integral term describing this non-local competition. Due to this competition, an initially monomorphic population may split into two distinct sub-populations, hence exhibiting a branching capacity. This framework can be applied to various contexts where recognizers are competing for some signals. The pattern formation capacity of this model is investigated analytically and numerically.

• 出版日期2009-6