Theoretical basis of the method of the wave probability for the ecological system of “predator — predator”

Zaitsev Dmitry Victorovich, Shamaeva Olga Yuryevna, Shvedov Nickolai Alexandrovich

The method of the wave probability for the ecological system of “predator - predator” is given in this work. The concepts from the theory of games and queueing theory are used for discrete description of the system of “predator - predator”. The idea of the method is the following: the calculation of the probability of the graph states is similar to the calculation of the wave front of the wave accoding to Huygens – Fresnel’s principle. The method is based on creating of the graph. Each state of this graph is characterized by the number of two kinds of predators. Some restrictions which is necessary to consider creating the models of “predator - predator” with the help of the queueing theory are given.

Keywords:Ecological system, the method of the wave probability, the graph, Markov’s process, the queueing theory