equations with delay

Topic. The subject of the article is the expansion of the author’s research series in the direction of mathematical modeling of specific ecological situations and transitional regimes that arise in nonlinear population processes with complex internal regulation.

In this article we consider simulation of appearance oscillations in abundance of biological species and concomitant abrupt changes in the population development process. The inductors for the appearance of many long-period fluctuations, such as herring cycles in the Pacific Ocean, have not yet been fully established. Changes in population cycles can take extreme nature and violate prevailing uniformity of biological diversity, even evoke significant impacts on ecosystems.