Discrete-continuous model for the problem of analysis critical level of exploitation of bioresources

Abstract

The article deals with the model developed in the framework of the research on the problem of replenishment of fish populations. A new approach takes into account the peculiarities of describing the changes in the number of generations by the system of ordinary differential equations. The method of models implementation in computing environment enables the simulation of various types of human impact, including the case of introduction of the new species to the environment. The author analyzes the behavior of scenarios of a population model with different levels of fishing impact and concludes 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 the bioresources is realized with continued slight excess of quotas.

Keywords

• dynamics of population processes
• modeling of exploitation of bioresources
• use case model