Discrete-continuous Model for the Problem of Analysis Critical Level of Exploitation of Bioresources

The article deals with the model developed in the framework of the research on the problem of replenishment of fish populations. A new approach, taking into account the stagewise of when describing the changes in the number of generations the system of ordinary differential equations. The method of implementation models in computing environment enabled a flexible device that allows adapt the concept, which developed the biological theory to describe the various types of dependencies detected by data on the effectiveness of the reproduction of populations. The author analyzes the behavior of scenarios of a population model with different levels of fishing impact. It is concluded the most dangerous case for the systematic management of bioresources. Examples and compared data on the dynamics of some commercial fish populations of the Volga basin are discussed. It is noted that a dangerous scenario for managing of bioresources realized with continued slight excess of quotas.