An evolution model for two interacting biological systems

The paper is concerned with evolution of two systems whose elements interact in the predator — prey way in the space of adaptive fratures. The model is continuous and described by a set of integro-differential equations. The stationary mode of their joint evolution is studied and its basic parameters are analytically found such as complete populations, evolution rate, and the shape of the front edge of the element stationary distribuion in terms of features. These parameters are shown to be independent of the specific shape of the element interaction funcion. The transient process of the equation set reaching the stationary mode is studied on a computer.