BOUNDARY CRISIS OF ATTRACTOR IN THE SIMULATION CAUSES OF THE DEGRADATION OF COMMERCIAL BIORESOURCES

Abstract

The article describes the computational model that unites the formalization of ecological features of the reproductive cycle of anadromous fish and the possibility of studying nonlinear effects in the population dynamics under anthropogenic impact. Event-driven component implemented in continuous time has allowed us to take into account changes in the survival generation in interrelation with the factors of growth rate. Discrete component trajectory of the dynamical system has two areas of attraction and is characterized by the reverse tangent bifurcation due to the impact of fishing, which dramatically transforms the population with the condition of irregular fluctuations in low numbers. The further emergence of «boundary crisis» for the interval attractor describes a common scenario an irreversible degradation of biological resources.