MATHEMATICAL MODELLING OF CIRCALUNAR AND CIRCATIDAL BIORHYTHMS OF MARINE ORGANISMS

Perfileev Michael, Simakina Alexandra

This work belongs to the fields of mathematical biology and hydrobiology and is devoted to mathematical modelling of the circalunar and circatidal biorhythms of marine organisms. In the course of the work, the mathematical apparatus of differential and recurrent equations was used, and the concepts of physical kinetic and potential energies were generalized for the case of biological rhythms. Taking into account high stability of the lunar-monthly and lunar-daily rhythms (due to astronomical accuracy of the Moon's motion), an analogue of the virial theorem for the considered biorhythms has been formulated here.

Keywords:circalunar rhythm, circatidal rhythm, differential equation, recurrence equation, addition of oscillations, virial theorem