Abstract
With the increasing complexity of optimization problems in the scientific environment, evolutionary algorithms inspired by certain processes in the world are becoming increasingly popular. This paper proposes a new evolutionary algorithm for interacting countries, which is mostly inspired by classical genetic algorithm, island algorithm and migration algorithm. Next, in the article, we study the performance of the algorithm on classical test functions. The results of the algorithm demonstrate its suitability for solving optimization problems and the prospects for its further study. In conclusion, the application of this algorithm to the search for pharmacokinetic constants of the two-compartment model is considered.