title: [Generalization of the Lotka-Volterra equation].
abstract: A complete qualitative study of Lotka--Volterra model with cooperative interactions in the system predator-prey is carried out. The model is as follows: (see abstract). The character of all possible stationary states is investigated in the first quadrant of the phase plane of the model variables depending on the system parameters. It is shown that for the generalized model considered unstable and stable limit cycles only of the infinite amplitude are possible in the first quadrant.
mesh_terms: D004463:Ecology; D008954:Models, Biological
vernacular_title: Obobshchenie uravneniia Lotka--Vol'terra